在如图所示的平面直角坐标系中.直线AB:y=k1x+b1与直线AD:y=k2x+b2相交于点A.直线AB交x轴负半轴于点C.直线AD交x轴正半轴于点D．(1)求直线AB的函数解析式,(2)根据图象直接回答.不等式k1x+b1＜k2x+b2的解集,(3)若△ACD的面积为9.求直线AD的函数解析式,(4)若点M为x轴一动点.当点M在什么位置时.使AM+BM的值最小?求出此 题目和参考答案——精英家教网——
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在如图所示的平面直角坐标系中，直线AB：y=k1x+b1与直线AD：y=k2x+b2相交于点A（1，3），且点B坐标为（0，2），直线AB交x轴负半轴于点C，直线AD交x轴正半轴于点D．（1）求直线AB的函数解析式；（2）根据图象直接回答，不等式k1x+b1＜k2x+b2的解集；（3）若△ACD的面积为9，求直线AD的函数解析式；（4）若点M为x轴一动点，当点M在什么位置时，使AM+BM的值最小？求出此时点M的坐标．
（1）把A、B两点代入，得3=k+bb=2，解得：k=1b=2，故直线AB的函数解析式为y=x+2；（2）由图象可得不等式的结集是：x＜1；（3）因为S△ACD=12•CD&#，得CD=6，所以D点坐标（4，0），有3=k+b0=4k+b，解得b=4k=-1，故直线AD的函数解析式为y=-x+4；（4）作点B关于x轴的对称点E（0，-2），连接AE交x轴于点M，设直线AE解析式为y=k3x+b3，则3=k+bb=-2，解得：k=5b=-2，即y=5x-2，当y=0时，x=25，故点M的坐标为(25，0)．
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科目：初中数学
来源：不详
题型：填空题
一次函数图象如图所示，则函数关系式是______．
科目：初中数学
来源：不详
题型：解答题
如图，直线AB过点A，且与y轴交于点B．（1）求直线AB的解析式；（2）若P是直线AB上一点，且⊙P的半径为1，请直接写出⊙P与坐标轴相切时点P的坐标．
科目：初中数学
来源：不详
题型：解答题
如图，在平面直角坐标系xoy中，直线AP交x轴于点P（p，0），交y轴于点A（0，a），且a、b满足a+3+(p+1)2=0．（1）求直线AP的解析式；（2）如图1，点P关于y轴的对称点为Q，R（0，2），点S在直线AQ上，且SR=SA，求直线RS的解析式和点S的坐标；（3）如图2，点B（-2，b）为直线AP上一点，以AB为斜边作等腰直角三角形ABC，点C在第一象限，D为线段OP上一动点，连接DC，以DC为直角边，点D为直角顶点作等腰三角形DCE，EF⊥x轴，F为垂足，下列结论：①2DP+EF的值不变；②AO-EF2DP的值不变；其中只有一个结论正确，请你选择出正确的结论，并求出其定值．
科目：初中数学
来源：不详
题型：解答题
某班师生组织植树活动，上午8时从学校出发，到植树地点后原路返校，如图为师生离校路程s与时间t之间的图象．请回答下列问题：（1）问师生何时回到学校？（2）如果运送工具的三轮车比师生迟半小时出发，与师生同路匀速前进，早半个小时到达植树地点，请在图中，画出该三轮车离校路程s与时间t之间的图象，并结合图象直接写出三轮车追上师生时离学校的路程；（3）如果师生骑自行车上午8时出发，到植树地点后，植树需2小时，要求13时至14时之间返回学校，往返平均速度分别为每小时8km、6km．试通过计算说明植树点选在距离学校多远较为合适．
科目：初中数学
来源：不详
题型：解答题
如图，直线y=kx+6分别与x轴、y轴相交于点E和点F，点E的坐标为（-8，0），点A的坐标为（0，3）．（1）求k的值；（2）若点P（x，y）是第二象限内的直线上的一个动点，当点P运动过程中，试写出△OPA的面积S与x的函数关系式，并写出自变量x的取值范围；（3）探究：当P运动到什么位置时，△OPA的面积为278，并说明理由．
科目：初中数学
来源：不详
题型：解答题
阅读下面的材料：在平面几何中，我们学过两条直线平行的定义．下面就两个一次函数的图象所确定的两条直线，给出它们平行的定义：设一次函数y=k1x+b1（k1≠0）的图象为直线l1，一次函数y=k2x+b2（k2≠0）的图象为直线l2，若k1=k2，且b1≠b2，我们就称直线l1与直线l2互相平行．解答下面的问题：（1）求过点P（1，4）且与已知直线y=-2x-1平行的直线l的函数表达式，并画出直线l的图象；（2）设直线l分别与y轴、x轴交于点A、B，如果直线m：y=kx+t（t＞0）与直线l平行且交x轴于点C，求出△ABC的面积S关于t的函数表达式．
科目：初中数学
来源：不详
题型：单选题
汽车由绵阳驶往相距280千米的乐山，如果汽车的平均速度是70千米/小时，那么汽车距乐山的路程s（千米）与行驶时间t（小时）的函数关系用图象表示应为（　　）A．B．C．D．
科目：初中数学
来源：不详
题型：解答题
如图，直线OC、BC的函数关系式分别是y1=x和y2=-2x+6，直线BC与x轴交于点B，直线BA与直线OC相交于点A．（1）当x取何值时y1＞y2？（2）当直线BA平分△BOC的面积时，求点A的坐标．
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请输入手机号【数学】已知在三角形ABC中,角CAB=90度,AB=AC=4,BD是AC边上的中线,分别以AC,AB所在直线为X轴,Y轴建立直角坐标系1.求直线BD的函数解析式2.在BD所在直线上找出一点M,使三角形ABM=8/3,求出M的坐标3.坐标平面内是否存在点P(m,n),使得三角形BDP的面积=3/2三角形ABD的面积,若存在,请求M,N的关系式,若不存在,请说明理由.-学路网-学习路上 有我相伴
已知在三角形ABC中,角CAB=90度,AB=AC=4,BD是AC边上的中线,分别以AC,AB所在直线为X轴,Y轴建立直角坐标系1.求直线BD的函数解析式2.在BD所在直线上找出一点M,使三角形ABM=8/3,求出M的坐标3.坐标平面内是否存在点P(m,n),使得三角形BDP的面积=3/2三角形ABD的面积,若存在,请求M,N的关系式,若不存在,请说明理由.
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已知:三角形ABC中,∠A=90°,AB=AC,D为BC中点1)连接ad△ABC,△ACD,△ABD都是等腰直角三角形,∴∠CAD=∠BAD,AF=BE,AD=BD∴△ADF≌△BDE∴DE=DF,且∠EDF=∠EDA+∠ADF=∠EDA+∠EDB=90°...已知在三角形ABC中,AC=BC,角ACB=90度,D是AB的中点,E是...1,由已知条件可得△ABC是等腰直角三角,CD是中垂线。则AC=CB,∠EAC=∠GCB=45度因为∠CFG=∠BDG=90度,∠CGF=∠BGD,所以∠FCG=∠DBG推出∠ACE=∠C...已知三角形ABC中,角A=90度,AB=AC,D为BC中点∴DE=DF∠EDB=∠ADF∴△BEF为等腰三角形∴AD⊥BC∴∠ADB=90°=∠EDB+∠ADE∴∠ADE+∠FDA=90°∴等腰三角形BEF为等腰直角三角形第二问一...已知Rt三角形ABC中,AC=BC,角C=90度,D为AB边的中点,角ED...在图2中S△DEF+S△CEF=S△ABC/2仍然成立证明:连接CD∵Rt△ABC中,AC=BC,即△ABC为等腰直角三角形又∵D为AB边的中点∴CD=BD,∠ECD=∠FBD...已知DC是三角形ABC中角ACB的外角平分线。求证角BAC大于...∠ACD(三角形∠B∵CD是∠ACE的...已知在三角形ABC中,角CAB=90度,AB=AC=4,BD是AC边上的中线,分别以AC,AB所在直线为X轴,Y轴建立直角坐标系1.求直线BD的函数解析式2.在BD所在直线上找出一点M,使三角形ABM=8/3,求出M的坐标3.坐标平面内是否存在点P(m,n),使得三角形BDP的面积=3/2三角形ABD的面积,若存在,请求M,N的关系式,若不存在,请说明理由.(图2)已知在三角形ABC中,角CAB=90度,AB=AC=4,BD是AC边上的中线,分别以AC,AB所在直线为X轴,Y轴建立直角坐标系1.求直线BD的函数解析式2.在BD所在直线上找出一点M,使三角形ABM=8/3,求出M的坐标3.坐标平面内是否存在点P(m,n),使得三角形BDP的面积=3/2三角形ABD的面积,若存在,请求M,N的关系式,若不存在,请说明理由.(图4)已知在三角形ABC中,角CAB=90度,AB=AC=4,BD是AC边上的中线,分别以AC,AB所在直线为X轴,Y轴建立直角坐标系1.求直线BD的函数解析式2.在BD所在直线上找出一点M,使三角形ABM=8/3,求出M的坐标3.坐标平面内是否存在点P(m,n),使得三角形BDP的面积=3/2三角形ABD的面积,若存在,请求M,N的关系式,若不存在,请说明理由.(图6)已知在三角形ABC中,角CAB=90度,AB=AC=4,BD是AC边上的中线,分别以AC,AB所在直线为X轴,Y轴建立直角坐标系1.求直线BD的函数解析式2.在BD所在直线上找出一点M,使三角形ABM=8/3,求出M的坐标3.坐标平面内是否存在点P(m,n),使得三角形BDP的面积=3/2三角形ABD的面积,若存在,请求M,N的关系式,若不存在,请说明理由.(图9)已知在三角形ABC中,角CAB=90度,AB=AC=4,BD是AC边上的中线,分别以AC,AB所在直线为X轴,Y轴建立直角坐标系1.求直线BD的函数解析式2.在BD所在直线上找出一点M,使三角形ABM=8/3,求出M的坐标3.坐标平面内是否存在点P(m,n),使得三角形BDP的面积=3/2三角形ABD的面积,若存在,请求M,N的关系式,若不存在,请说明理由.(图14)已知在三角形ABC中,角CAB=90度,AB=AC=4,BD是AC边上的中线,分别以AC,AB所在直线为X轴,Y轴建立直角坐标系1.求直线BD的函数解析式2.在BD所在直线上找出一点M,使三角形ABM=8/3,求出M的坐标3.坐标平面内是否存在点P(m,n),使得三角形BDP的面积=3/2三角形ABD的面积,若存在,请求M,N的关系式,若不存在,请说明理由.(图17)这是用户提出的一个数学问题,具体问题为:已知在三角形ABC中,角CAB=90度,AB=AC=4,BD是AC边上的中线,分别以AC,AB所在直线为X轴,Y轴建立直角坐标系1.求直线BD的函数解析式已知DC是三角形ABC中角ACB的外角平分线。求证角BAC大于...∠ACD(三角形∠B∵CD是∠ACE的...防抓取，学路网提供内容。2.在BD所在直线上找出一点M,使三角形ABM=8/3,求出M的坐标在三角形ABC中,已知AB=13厘米,BC=10厘米,BC边上的中线A...证明:∵AD是BC边中线,BC=10∴BD=5∵AD=12,AB=13∴AB²=AD²+BD²防抓取，学路网提供内容。3.坐标平面内是否存在点P(m,n),使得三角形BDP的面积=3/2三角形ABD的面积,若存在,请求M,N的关系式,若不存在,请说明理由.如图所示,三角形ABC中,已知角BAC等于45度,AD垂直BC于D,B...又∵AE=AD,AF=AD∴AE=AF.∴四边形AEGF是正方形.(2)解:设AD=x,则AE=EG=GF=x.∵BD=4,防抓取，学路网提供内容。我们通过互联网以及本网用户共同努力为此问题提供了相关答案,以便碰到此类问题的同学参考学习,请注意,我们不能保证答案的准确性,仅供参考,具体如下:如图已知在三角形ABC中AD是BC边上的中线,E是AD上一点,且...证明:延长AD到点G,使得DG=AD,连接BG,∵BD=DC,∴△ADC≌△GDB,∴∠CAD=∠G,BG=AC又∵BE=AC,∴防抓取，学路网提供内容。用户都认为优质的答案:已知,如图,在RT三角形ABC中,角ABC=90,题目中AO=x,应改为AP=x设OB=OE=OD=R在RT三角形AOD中,AO^2=OD^2+AD^2(1+R)^2=R^2+4R=3/2AO防抓取，学路网提供内容。好长的题,（一）画图,由图得A(0,0)B(0,4)C(4,0)D(2,0)由BD坐标求出方程2x-y=4.（二）S△ABM=1/2AB*点M的横坐标=8/3设横坐标为y得点M(4/3,-4/3)已知在三角形abc中角BAC=90度AB=AC点D为直线BC上一动点...AB=AC,∴∠ABC=∠ACB=45°,则∠ABD=180°-45°=135°,∵四边形ADEF是...则△FCD为直角三角防抓取，学路网提供内容。(三）存在,△abd的面积为4,它的3/2为6!△bdp中领bd为底边,计算得高为6√5/5,由点到直线的距离公式得：2m-n-10=0或2m-n+2=0!完成,好累.已知在三角形ABC中,AB=AC,D在AB上,E在AC的延长线上...答：原题中条件“且DF=ED”应该是打字有误，正确条件：且DF=FE（否则无法证明），理由如下：如图，作DG∥AC，交BC与G，∵防抓取，学路网提供内容。======以下答案可供参考======已知在三角形ABC中，AB=AC,AC边上的中线BD把三角形...问：已知在三角形ABC中，AB=AC,AC边上的中线BD把三角形ABC的周长分为12cm和1...答：设AB=AC=x，BC=y则CD防抓取，学路网提供内容。供参考答案1:已知在三角形abc中,ad是bc边上的中线，E是AD上一点...问：：AF=EF(倍长ed的方法来做）答：证明：延长ED到H，使DH=DE，连接CH∵AD是BC边的中线∴BD=CD又∵∠BDE=∠CD防抓取，学路网提供内容。(1)2X+Y-4=0已知在三角形ABC中，角ABC=90度AB=3BC=4点Q是线段A...问：已知在三角形ABC中，角ABC=90度AB=3BC=4点Q是线段AC上的一个动点，过点Q...答：防抓取，学路网提供内容。2)M(4/3,4/3)已知：如图，在三角形ABC中，AD垂直于BC,垂足为D,B...问：已知：如图，在三角形ABC中，AD垂直于BC,垂足为D,BE垂直于AC，垂足为点E...答：证明：（1）∵M为AB边的中点，AD⊥B防抓取，学路网提供内容。3)存在
2m+n=6已知，在三角形abc中，ac等于bc，角acb等于90度，...问：（1）直线bf垂直于直线ce于点g，如图一。求证：ae等于cg。（2）直线ah垂...答：（1）证明：∵点D是AB中点，AC=BC，防抓取，学路网提供内容。供参考答案2:在三角形ABC中，已知内角A=π/3，边BC=2根号3，设...问：求（1）函数y=f(x)的解析式和定义域（2）函数y的最大值答：(1)因为内角C=π-(π/3+x)&0所以0防抓取，学路网提供内容。1.
B(0,4)D(2,0)可得：2X+Y-4=0如图,已知在三角形ABC中,CD是AB边上的高,且CD*CD=A...问：图片地址如图,已知在三角形ABC中,CD是AB边上的高,且CD*CD=AD*BD,问三角...答：△ABC是直角三角形证明：∵防抓取，学路网提供内容。在三角形ABC中,已知AB=13厘米,BC=10厘米,BC边上的中线A...证明:∵AD是BC边中线,BC=10∴BD=5∵AD=12,AB=13∴AB²=AD²+BD²∴∠ADB=90°∴∠ADC=90°∵AD=AD∴△ABD≌△ACD∴A...如图所示,三角形ABC中,已知角BAC等于45度,AD垂直BC于D,B...又∵AE=AD,AF=AD∴AE=AF.∴四边形AEGF是正方形.(2)解:设AD=x,则AE=EG=GF=x.∵BD=4,DC=6∴BE=4,CF=6∴BG=x-4,CG=x-6在Rt△BGC中,BG2+CG2...如图已知在三角形ABC中AD是BC边上的中线,E是AD上一点,且...证明:延长AD到点G,使得DG=AD,连接BG,∵BD=DC,∴△ADC≌△GDB,∴∠CAD=∠G,BG=AC又∵BE=AC,∴BE=BG,∴∠BED=∠G,∵∠BED=∠AEF,∴∠AE...已知,如图,在RT三角形ABC中,角ABC=90,题目中AO=x,应改为AP=x设OB=OE=OD=R在RT三角形AOD中,AO^2=OD^2+AD^2(1+R)^2=R^2+4R=3/2AO=1+R=5/2AB=AO+BO=4如AP=AD,则x=...
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2015年南山自主招生试题(真实考试版)
保密★启用前绵阳南山中学(实验学校)2012年自主招生考试数 学 试 题本套试卷分试题卷和答题卷两部份,试题卷共6页,答题卷共6页,满分150分,考试时间120分钟.注意事项:1.答卷前,考生务必将自己的姓名、考试号用0.5毫米的黑色墨水签字笔或黑色墨水钢笔填写在答题卷与机读卡对应位置上,并认真核对姓名与考号;2.选择题每小题选出答案后,用2B铅笔将机读卡上对应题目的答案标号涂黑,如需改动,用橡皮擦干净后,再选涂其它答案标号,答在试题卷上无效;3.非选择题(主观题)用0.5毫米的黑色墨水签字笔或黑色墨水钢笔直接答在答题卷上每题对应的位置上,答在试题卷上无效.作图一律用2B铅笔或0.5毫米黑色签字笔;4.考试结束后,请将本试题卷、答题卷与机读卡一并上交. 第Ⅰ卷(选择题,共36分)一.选择题(本大题共12个小题,每小题3分,共36分.每小题给出的四个选项中,只有一个符合题目的要求.)1. |-25|的平方根是(
D. ±52.下列运算正确的是(
)A.(?2a2)3??8a6
D.a?a?2a3.下左图是一个由小立方块所搭的几何体,则从不同的方向看所得到的平面图形中(小正方形中的数字表示在该位置的小立方块的个数),不正确的是(
)DBAC4.有两个口袋,其中甲袋中有写着1,2,3,4的四张牌,乙袋中有写着2,3,4的三张牌.从两袋中各取出一张牌,若每张牌被取出的机会相等,则两张牌上数字之和大于6的概率为(
6115.已知圆柱的底面半径为r,高为h,若圆柱的体积为1,表面积为12,则?等于(
D.126.创办于1908年的四川省绵阳南山中学,日迎来了她104周年的校庆日.在校庆后,学生会记者随机采访了部分观看校庆文艺节目的学生,并把调查结果绘成了下面的统计图:1
34 第 1 页 共 1 页 706260男生人数5040302010女生人数442612一般19%满意28%非常满意 非常满意满意一般第6题图已知此次被调查的男、女学生人数相同.根据图中信息,有下列判断:①在被调查的学生中,持非常满意态度的人数占53%;②本次共调查了200名学生;③在被调查的学生中,有30%的女生持满意态度;④在我校高一、高二参加各种社团的900名学生中,根据调查结果估计持满意与非常满意态度的人数之和超过了720人.其中,正确的判断 有(
B.3个C.2个
17.如图:平面上有两个全等的正十边形ABCDEFGHIJ、A1B1C1D1E1F1G1H1I1J1,其中C点与J1点重合,E点与H1点重合,则∠DCA1的度数是(
第7题图 C.118
D.1268.已知正△ABC内接于圆O,四边形DEFG为半圆O的内接正方形(D、E在直径上,F、G在半圆上的正方形),S△ABC=a,S四边形DEFG=b,则a的值等于(
D 9.根据下左图中已填出的“√”和“×”的排列规律,把②、③、④还原为“√”或“×”且符合左图的排列规律,下面“?”中还原正确的是(
)√√①√②③×④√√×第9题√√××√×××√×××A.
C. 10.若方程(x?a)(x?b)?x?0的两根为c、d,则方程(x?c)(x?d)?x?0的两根为(
D.-c、-d11.如左图:△ABC是边长3的正三角形,点D在线段BC上,点E在射线AC上,点D沿BC方向从B点以每秒1个单位的速度向终点C运动,点E沿AC方向从A点以每秒2个单位的速度运动,当D点停止时E点也停止运动.设运动时间为t秒,若△DEC的图形的面积用y来第 2 页 共 2 页 表示(规定:当三点在一条直线上时,三点组成的三角形面积为零),则y关于t的函数图象是(
)yE4321y4321123Ay4321y4321123BDC第11题图oto123toto123A.B.C.D. 12.如右图:过△ABC的顶点A作对边BC上的中线AE与高AD,E为BC中点,D为垂足.规定mA?DE,特别地,当D与E重合时,规定mA?0.对mB、mC作BE1; 2B类似的规定.给出下列结论:①若∠C=90?,∠A=30?,则mA?1,mC?②若mA?1,则△ABC为直角三角形;ED第12题C③若mA&1,则△ABC为钝角三角形;若mA&1,则△ABC为锐角三角形; ④若mA?mB?mC?0,则△ABC为等边三角形.其中,正确结论的个数是(
D.4第Ⅱ卷(非选择题,共114分)二.填空题(本大题共6个小题,每小题4分,共24分.请将答案填入答题卡相应的横线上.) 13.函数y?14.将如右图所示的正方体的展开图重新折叠成正方体后,和“成”字相对面上的汉字是
. 15.下图是由6个正方形构成的长方形,若最小正方形的面积为1,则这个长方形的面积等于____________.C的自变量x的取值范围是
.第15题图第16题图第17题图 16.上图为△ABC与⊙O的重叠情形,其中BC为⊙O的直径.若?A＝70?,BC＝2,则图中阴影部份的面积等于____________. 第 3 页 共 3 页 17.如上图:在锐角△ABC中,AB=∠BAC=45?,∠BAC的平分线与BC交于点D,M、N分别是AD、AB上的动点,则MB+MN的最小值等于____________.18.如右图,⊙A的半径为r,⊙O的半径为4r,⊙A从图中所示位置出发沿⊙O的表面作无滑动的滚动,当公转一周时,自转的转数为_________.三.解答题(本大题共7个小题,共90分.解答应写出文字说明、证明过程或演算步骤)19.(本题共2个小题,每小题8分,共16分)(1)计算2cos30??|1?(??3.14)0??1; x2?2x2x?1?(x?1?),其中x?1. (2)先化简,再求值:2x?1x?1 20.(本小题满分12分)小王从A地前往B地,到达后立刻返回,他与A地的距离y(千米)和所用的时间x(小时)之间的函数关系如图所示.(Ⅰ)小王从B地返回A地用了多少小时？(Ⅱ)求小王出发6小时后距A地多远？ (Ⅲ)在A、B之间有一C地,小王两次经过C地的时间差为2小时20分,求A、C两地相距多远？ ) 21.(本小题满分12分)某商业集团新进了40台空调机,60台电冰箱,计划调配给下属的甲、乙两个连锁店销售,其中70台给甲连锁店,30台给乙连锁店.两个连锁店销售这两种电器每台的利润(元)如下表:设集团调配给甲连锁店xy(元).(Ⅰ)求y关于x的函数关系式,并求出x的取值范围;(Ⅱ)为了促销,集团决定仅对甲连锁店的空调机每台让利a元销售,其他的销售利润不变,并且让利后每台空调机的利润仍然高于甲连锁店销售的每台电冰箱的利润,问该集团应该如何设计调配方案,使总利润达到最大？ 22.(本小题满分12分)如图,反比例函数y?k(x&0,且k为正常数)的图象经过四边形xOABC的顶点A、C,∠ABC＝90°,OC平分OA与x轴正半轴的夹角,AB∥x轴,将△ABC沿AC翻折后得△AB1C,B1点落在OA上.(Ⅰ)求四边形OABC的面积; 第 4 页 共 4 页 (Ⅱ)若以OA为直径的圆经过点C,且四边形OABC的面积为求直线OB的解析式. 23.(本小题满分12分)如图,AB为⊙O的直径,AM和BN是它的两条切线,E为⊙O的半圆弧上一动点(不与A、B重合),过点E的直线分别交射线AM、BN于D、C两点,且CB＝CE.(Ⅰ)求证:CD为⊙O的切线; AAH(Ⅱ)连结AC与BE交于点H,若tan∠BAC＝,求的值. CH2 MEONB第23题图 C24.(本小题满分12分)如图,在平面直角坐标系中,点A(-1,0),点B(0,点C在x轴上.已知某二次函数的图象经过A、B、C三点,且它的对称轴为x=1,点P是在直线BC下方的二次函数图象上的一个动点(点P与B、C不重合),过点P作y轴的平行线交BC于点F.(Ⅰ)求该二次函数的解析式;
y1(Ⅱ)在对称轴上求一点M,使得MA+MB取到最小值;(Ⅲ)若设点P的横坐标为m,用含m的代数式表示线段PF的长并求△PBC面积的最大值,及此时点P的坐标.
ACx B P 第24题 25.(本小题满分14分)如图,OA=10是半圆C的直径,点B是该半圆周上一动点(点B与点O、点A不重合),连结OB、AB,并延长AB至点D,使DB=AB,过点D作直线OA的垂线,分别交直线OA、直线OB于点E、F,点E为垂足,连结CF.(Ⅰ)当∠AOB=30°时,求弧AB的长度;(Ⅱ)当DE=8时,求线段EF的长; D(Ⅲ)在点B运动过程中,是否存在以点E、C、F为顶点的三角形与△AOB相似?若存在,请求出此时OE的长度;若不存在,请说明理由. B CEAO第25题图 第 5 页 共 5 页 保密★启用前绵阳南山中学(实验学校)2012年自主招生考试英
卷本试卷分试题卷和答题卷两部分。试题卷共8页，答题卷共1页。满分150分，考试时间100分钟。注意事项：1. 答题前，考生务必将自己的 姓名、考号、用0.5毫米的黑色墨水签字笔填写在答题卷和机读卡上，并认真核对。2. 1-45题使用2B铅笔填涂在机读卡对应题目标号的位置上，46-50题及非选择题用0.5毫米的黑色墨水签字笔书写在答题卷的对应位置。在草稿纸、试题卷上答题无效。3. 考试结束后，将试题卷，答题卷和机读卡一并交回。第I卷
（选择题，共100分）第一部分：英语知识运用（共两节，满分60分）第一节：单项填空 （共15小题，每小题2分，满分30分）从（A、B、C、D）四个选项中选出可以填入空白处的最佳选项，并在机读卡上将该项涂黑。1.My best friend Neil is ________ honest boy. You can believe him.A. a
D./2.The fire was completely ________ shortly afterwards with the help of the firemen.A.cut down
C.give out
D.floated away3.---Would you like to have ___________ cake ?----No, thanks. I’ve had two. That’s enough.A.other
D.the other4. —Linda, together with her parents, ______up the mess in the park at the moment.—It’s meaningful to be a volunteer. Let’s join them.A. is cleaning
B. are cleaning
C. has cleaned
D. have cleaned[5. —Do you want to see the painting exhibition at the weekend?—I won’t see it unless I __________.A. will be invited
B. am invited
D. will invite6. —Did you return from Shanghai on time?—No. The train________ I took was late because of the bad weather.A. what
D. where7. —I saw Kevin in the supermarket this morning.—No, it____ him. He moved to Canada last week.
B. must be
C. can’t be
D. mustn’t behe is not rich.A. if
D. because9. ____ you ____ your brother can join us. We want one of you.A. B and
B. N nor C. E or
D. N but also10. Connie arrived ____ the village____ a snowy night.A. on
D. on 第 6 页 共 6 页 11. Lady Gaga’s new CD will_____ next month.A. come along
B. come up
C. come over
D. come out12. The 2012 Olympics
_____ in London on July 27, 2012.A. holds
B. will hold
C. was held
D. will be held13. The Greens will visit Nanshan Middle School as soon as they____ to Mianyang.A. comes
D. will come14. —Yesterday I won the first place in the 100- meter race.—Really ?______!A. Congratulations
B. Never mind
C. That is all right
D. I’m sorry to hear that15. The policeman asked the boy_______.A. where is his mother
B. where his mother isC. where was his mother
D. where his mother was第二节：完形填空 （共15小题，每小题2分，满分30分）阅读下列短文，从短文后各题所给的(A、B、C、D)四个选项中选出能填入相应空白 的最佳选项，并在机读卡上将该项涂黑。ADo you give small money to your children? Do you teach them to use the small money? I agree with you about teaching and talking to your children about small money. This can help them make good use of it and good habits. Children of all ages need to know the of saving money. I think parents should give children small money and let them buy something by
plan their money.16. A. how
D.why17. A. lose
C. develop
D.buy18. A. importance
B. illness
C. instruction
D.disadvantage19. A. yourself
C. themselves
D.ourselves20. A. strongly
B. properly
D.actuallyB them back to the farm. a family member.He often says,“Bobby is the my sheep very well.”If the dog house is 2with his sheep. much.They are getting on well with each other.21. A. villagers
C. farmers
D. sheep22. A. village
D.bank23. A. aged
B. dressed
D. included24. A. comfortable
B. expensive
C. dangerous
D.terrible25. A. by
D. as26. A. looks
C. takes back
D.takes away27. A. full
D. dirty 第 7 页 共 7 页 28. A. communicates
B. compares
C. catches
D.checks29. A. noises
C. whistles
D. conversations30. A. explain
B. express
C. examine
D.excuse 第二部分：阅读理解 （共20小题，每小题2分，满分40分）第一节：短文理解 （共15小题，每小题2分，满分30分）阅读下列短文，从短文后各题所给的(A、B、C、D) 四个选项中选出最佳选项，并在机读卡上将该项涂黑。A 31. We can ___________ in Fun French or Spanish Clubs.A. have a party
B. play chess
C. make friends
D. watch movies32. In LCF clubs, children can ___________.A. join fun painting and gym clubs.B. get education at school clubs only 第 8 页 共 8 页 C. learn with songs, games and cookingD. learn with stories, games and movement33. Jazz-Mataz is for children who can speak _____________.A. Spanish
B. English
C. Chinese
D. French34. If you want to join an LCF club, you’d better NOT __________.A. post a letter
B. send an emailC. go to the local club
D. make a phone call35. From the passage above, we can know ____________.A. LCF is a language and science school in CanadaB. LCF has language clubs and music & gym clubsC. LCF music & gym clubs can be found just onlineD. LCE provides excellent training, teachers and doctors.BMany of us don’t pay much attention to the importance of eye care. It is said that if you take care of your body, then you can surely be healthy. That is why our eyes should be given a lot of care. Natural eye care should be put in a number one place.There are several causes leading to poor eyesight like not enough food, genes(基因) and aging(老化). Televisions, computers and reading are also the causes of having poor eyesight. If you happen to work in front of the computer, it is best to take a break every once in a while. Something dirty can cause redness and they will make you feel uncomfortable. It is bad for your eyes, too. If this happens, the best way is to clean your eyes by using cold water. You must also try your best to protect your eyes from harmful things. For example, sunglasses are not just for fashion but they can also serve as a great way to protect your eyesight from .Eating healthy foods will do good to your eyesight. Remember that vitamins A, C and E are good for eyes. Try to eat food groups that have these vitamins. And you should do eye exercises because exercise protects your eyesight, too. If a person exercises regularly(定期地) and eats the right kind of food, his eyes will stay in good condition for a long time.All above are natural ways of eye care that help us keep healthy eyes. Being happy all the time can be helpful to a person’s eyesight, too. In a word, eye care is very important, no matter how old a person is.36. _______ is the most important way to protect our eyes.A. Natural eye care
B. Taking medicineC. Seeing the doctor
D. Being happy all the time37. All the following causes can lead to bad eyesight except ________.A. age
C. reading
D. computers38. What should you do if you have to work in front of the computer?A. Eat healthy foods. B. Clean the eyes by using cold water.C. Wear a pair of sunglasses. D. Have a rest after working for a while.39. What do the underlined words “UV rays” mean?A. 沙尘
D. 超声波40.Which is the best title of the passage?A. Ways of Eye Care
B. Ways of Eye Exercises
C. Ways of Being Happy
D. Ways of Being HealthyC 第 9 页 共 9 页 Gloria is a famous hostess of a TV station. When she was 15, she happened to walk into a bookstore in her hometown and began looking at the books on the shelves. The man behind the counter, John Smith, asked if she'd like a job. She needed to start saving for college, so she said yes.Gloria worked after school and during summer vacations, and the job helped pay for her first year of college. During college she would do many other jobs: she served coffee in the student union, was a hotel cleaner and even made maps for the Forest Service. But selling books was one of the most satisfying jobs.One day a woman came into the bookstore and asked Gloria for books on cancer. The woman seemed anxious. Gloria showed her practically everything they had and found other books they could order. The woman left the store less worried, and Gloria has always remembered the pride( 自豪顾客).Years later, as a television hostess, Gloria heard about a child who was born with problems with his fingers and hand. His family could not afford an operation, and the boy lived in shame, hiding his hand in his pocket all the time.Gloria persuaded(说服) her boss to agree to let her do the story. After the story was broadcast, some doctors called, offering to perform the operation for free.Gloria visited the boy in the hospital after the operation. The first thing he did was to hold up his repaired hand and say, "Thank you. " What a sweet sense of satisfaction Gloria felt!At Smith's bookstore, Gloria always realized she was working for the customers, not the store. Today it's the same. The TV station pays her, but she feels that she should work for the people who watch the programmes, helping them understand the world better.41. When did Gloria get her first job?A. A few years before college.
B.Several years after college.C.When she was studying at college. D.When she was working in the TV station.42. In which part-time job did Gloria feel the happiest?A.Cleaning in the hotel.
B.Selling books in the bookstore.C.Serving coffee in the student union.
D.Making maps for the Forest Service.所指) ?A. The boss.
B. The woman.
D. The doctor.44. How did Gloria help the child get the operation he needed?A.Her boss agreed to raise money.
B.She paid for the operation herself.C.She allowed the boy to show on TV. D.Her news report affected some doctors.45. What particularly gives her the feeling of pride?A.Helping people through her work.B.Reporting interesting stories.C.Being able to do different jobs well.D.Paying for her college education herself.第二节：补全对话（共5小题，每小题2分，满分10分）根据下面的对话内容，从方框内的选项（A、B、C、D、E、F或G）中选出最佳选项，并将答案写在答题卷上对应题号后面的横线上。选项中有两个为多余选项。A :
Hello!Is that Lulu Restaurant?B:
I want to know if you send take—away food. 第 10 页 共 10 页 B:
What would you like to have?A:
Ok,Anything else?A：No,thanks,How can I pay you?B:
By the way,what time do you expect your lunch? And A：Around 11:30 a.m. Room110,Building C. 第二卷（非选择题，共50分）第三部分：写作（共两节，满分50分）第一节：选词填空（共10小题，每小题2分，满分20分）阅读下面短文，根据文中意思，从方框中选出恰当的词，并在答题卷上对应题号后面的横线上写出各单词的完整、正确的形式，使短文文理通顺，意义完整。 The 2012 Olympics will open in London on July 27, 2012.London will become the ___51____ first city to host the Olympics three times, in 1908, in 1948 and in 2012.As is known to all, London is a garden city. When you step into the city, you will findyourself _____52______attracted by the beautiful views around.Also, there are
of nice stadiums and gymnasiums for Olympic Games, such as the swimming pools, football playground and basketball gyms. The building of the new stadiums has been completed. London is for the “greatest show on earth”.The All-England club, the site of Wimbledon, will host tennis. Wembley Stadium will be used for football Lord’s cricket(板球)ground will host archery(剑术). London wants to show their historic sites and a few new-classics to the world this summer.Mascots(吉祥物) of the London Olympic Games are Wenlock and Mandeville. They have frightened some people and cheered others . Wenlock is the name of the English village considered by many to be the birthplace of the Olympics. The other mascot's name means the village of Stoke Mandeville, where the Paralympic(残奥会) movement began.The motto(口号)for the London Olympics has been
as “Inspire a generation”.(激励一代人)The organization the athletes from all over the world to the UK to perform at their very best and inspire the world. International Olympic Committee (IOC) president Jacques Rogge said he was
London would meet the expectations of the world. 第 11 页 共 11 页 第二节：书面表达（共1题，满分30分）2002年，绵阳被评为"全国卫生城市"，我们都非常自豪。在今年的6月5日，即世界环境保护日(World Environment Day)这天，南山中学举行了以“ What Can We Do for theEnvironment in Mianyang?"为题的英语演讲比赛。假如你是南山中学学生李华，请写一篇保护环境的英语演讲稿，内容包含：1
购物时用布袋子替代塑料袋；2
尽可能的再利用使用过的课本；3
离开教室应关灯；4
最好走路或骑自行车上学；5
简述理由：保护环境，减少污染，节约能源等等。注意：1 词数80词左右，开头和结尾已经为你写好，不计入总词数；2 可根据要点适当增加细节，使行文连贯；3 参考词汇：布袋子：cloth bags 塑料袋子：plastic bags
保护：protect能源：energyWhat Can We Do for the Environment?
Hello, everyone. It's nice to speak about what we can do for the environment, and I think each of us can do a little bit to help. ____________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________
In fact, even the simplest everyday activities can make a real difference to the environment. I believe we can help to make Mianyang a better place to live in.Thanks for your listening! 第 12 页 共 12 页 保密★启用前 绵阳南山中学(实验学校)2012年自主招生考试理 科 综 合 试 题本试卷分试题卷和答题卷两部分，试卷共10页，答题卷：物理、化学各2页，满分200分。考试时间120分钟。可能用到的相对原子质量：H-1
Cu-64 Zn-65注意事项：1. 答题前，考生务必将自己的姓名、考号用钢笔或黑色墨水签字笔填写在机读卡和答题卡上，并核对相关信息是否一致。2. 选择题使用2B铅笔填涂在机读卡对应题目标号的位置上，非选择题用钢笔或黑色墨水签字笔书写在答题卷的对应位置。在草稿纸、试卷上答题无效。3. 考试结束后，将试题卷、机读卡和答题卷一并交回。 第Ⅰ卷（选择题，共75分）一、选择题（共21个小题，第1～9小题为化学试题，每小题3分；第10～21小题为物理试题，每小题4分。每小题只有一个选项符合题意）1. 化学与生活密切相关。下列说法中不正确的是A. 多用电子邮件、QQ等即时通讯工具，少用传真打印机，属于“低碳生活”方式B. “碘盐”、“高钙牛奶”、“铁强化酱油”等商品中的“碘、钙、铁”都是指元素C. 在腊肉、香肠等食品中加入允许量的亚硝酸钠，不但能防腐，还能使肉的色泽鲜艳D. 家庭厨房常用到醋酸、纯碱、食盐，它们分别属于酸、碱、盐2. 九寨沟门户、大熊猫故乡、深山王宫所在地绵阳市平武县盛产绿毛峰。绿毛峰是一种绿茶，其中含有的茶多酚（化学式为C22H18O11）等活性物质具有清热解毒、抗辐射等功效。下列关于茶多酚的说法正确的是A. 茶多酚属于有机高分子化合物B. 茶多酚的相对分子质量为458C. 茶多酚分子由碳、氢、氧三种元素组成D. 茶多酚中，碳、氢、氧三种元素质量比为22∶18∶113.
利用下列方法制备和收集气体：①用石灰石和稀盐酸制取二氧化碳；②用锌和稀硫酸制取氢气；③用过氧化氢的水溶液和二氧化锰制取氧气；④加热高锰酸钾制取氧气。可以采用右图所示装置的是A.
D. ②③4. 下列有关物质的检验、鉴别、分离、提纯所用试剂或方法不正确的是 第 13 页 共 13 页
5. “绿色化学”（green chemistry）是21世纪化学发展的主导方向。“化学反应绿色化”要求原料物质中的所有原子全部转入期望的产品中。下列符合“化学反应绿色化”的是A. 化工厂用氨、二氧化碳和水制碳铵： NH3＋H2O＋CO2==NH4HCO3B. 实验室用纯碱制取烧碱： Ca(OH)2＋Na2CO3==CaCO3↓＋2NaOHC. 以废铁屑、稀硫酸为原料制取硫酸亚铁：Fe＋H2SO4==FeSO4＋H2↑D. 工业炼铁： Fe2O3＋3CO====2Fe＋3CO26. 进行科学探究活动，需要有正确的判断能力和基本的化学实验技能。下列实验操作正确的是A．使用滴瓶上的滴管滴加试剂后，立即用清水洗净滴管并放回原瓶B．将固体氢氧化钠放在小纸片上称量C．测溶液的pH时，在玻璃片上放一小片pH试纸，将被测液点在试纸中部D．取下正在加热的蒸发皿时，用试管夹夹持7. 通过初中化学的学习，小林同学总结并发现了许多具有一定规律的知识。在下列所给的有关规律的描述中，正确的是A. 金属与酸都能发生置换反应，生成盐和氢气B. 实验室制取气体前，都需要检查装置的气密性C. 所有的酸都含有氧元素高温 9.
50 g镁、铁、锌的混合物与足量稀硫酸反应产生氢气3.6 g，将反应后的混合溶液蒸发、脱水后得到无水硫酸盐，其质量是A.
无法计算10．在2012年“绵阳十佳歌手”大赛中，南山中学高二学生“钟华律舒”等几名同学踊跃报名参加比赛,获得了“一等奖”的优异成绩，有关她们歌声下列说法错误的是
．． 第 14 页 共 14 页 A.我们听到她们歌声是靠空气传到人耳的B.小钟同学在台上“引吭高歌”说明她的声音响度大C.小钟同学发出的歌声是她的舌头振动产生的D.我们在幕后能听出是小钟的歌声是根据音色判断的11．下图中的光学现象及其说法中正确的是A．图a中，漫反射的光线杂乱无章，因此不遵循光的反射定律B．图b中，木工师傅观察木板是否光滑平整利用了光沿直线传播的性质C．图c中标示的是近视眼的成像情况，应该配戴凹透镜来矫正D．图d表示太阳光经过三棱镜色散后的色光排列情况12．用普通照相机拍照时，要按被照物体距相机镜头的远近进行“调焦”，使用起来不太便捷．有一种“傻瓜”相机，只要把想拍摄的景物全部纳入取景器内，不论远处还是近处的物体，在照片上都比较清
晰，从而使拍照的过程变得十分快捷．这种“傻瓜”相机不用“调焦”的奥秘是A．采用了短焦距的镜头,使远近不同的物体成像的位置相差不大B．采用了长焦距的镜头,使远近不同的物体成像的位置相差不大C．采用了短焦距的镜头,使远近不同的物体成像的位置相同D．采用了长焦距的镜头,使远近不同的物体成像的位置相同13．用同一热源加热某种物质，使其从固态变成液态，直至沸腾．整个过程中物质的温度与时间关系图像如图所示，下列判断正确的是A．与液态相比，物质在固态时的比热容较大B．熔化和沸腾的过程，都要吸热C．t1与t2相比，物质的内能相同，因为温度相同D．从t2到t3到t4，物质都处在沸腾的过程中14．家用电冰箱中消耗电能的器件主要是电动压缩机和照明灯泡．其中电动压缩机M受温控开关S1控制，照明灯泡L受门控开关S2控制．温控开关S1和门控开关S2既能单独工作又能同时工作．如图所示是几个同学画的家用电冰箱的电路图,其中正确的是 14题图15．在如图所示的电路中，A、B两点之间电压U保持不变，电路连接完好且使用的电表均为理想电表.当滑动变阻器的滑片P向右滑动时A．电压表V1和电流表A的示数之比增大B．电压表V2和电流表A的示数之比不变C．电压表V1示数的变化量和电流表A示数变化量的 15题图 第 15 页 共 15 页 比值绝对值增大不变 D．电压表V2示数的变化量和电流A表示数变化量的比值绝对值16．世界上密度最小的固体“气凝胶”是人类探索新材料取得的重要成果．该物质的坚固耐用程度不亚于钢材，且能承受1400℃的高温，而密度只有3kg/m3。一架用钢材（ρ钢＝7.9×103kg/m3）制成的质量约160t的大型飞机，如果用“气凝胶”做成，其质量大约是A．几千千克
B．几百千克
C．几十千克
D． 几千克17．质量为m的木块沿倾角为?的斜面匀速下滑，如图所示，那么斜面对物体的作用力方向是A．沿斜面向上
B．垂直于斜面向上C．沿斜面向下
D．竖直向上18．探月卫星“嫦娥一号”是中国第一颗月球卫星.在用火箭发射卫星时，下列说法中正确的是A．火箭发射升空时，卫星动能减少，势能增大B．火箭发射升空时，卫星动能增大，势能减少C．火箭发射升空时，卫星机械能增大D．在卫星绕月飞行的过程中，若以月球为参照物，“嫦娥一号”卫星是静止的19．能源、信息、材料是现代社会发展的三大支柱，下列说法正确的是A．秦山核电站是利用原子核裂变释放的核能来发电的B．光纤通讯是依靠超声波来传递信息的C．太阳能、风能和核能都是可再生能源D．在通常情况下，铜、碳棒和陶瓷都属于导体20. 下列选项的估测，其中最接近实际的是A．一个中学生的质量约为500g
B．一层居民楼房的高度约为3mC．一块橡皮所受的重力约为10N
D．一个成年人跑步的速度约为25m/s21．如图所示，木板可绕固定的水平轴O转动．木板从水平位置OA缓慢地转到OB位置，木板上的物块始终相对于木板静止．在这一过程中，物块的机械能增加了2J．用F1表示物块受到的支持力，用F2表示物块受到的摩擦力，在这一过程中，下列说法：①F1和F2对物块都不做功；②F1对物块做功为2J，F2对物块不做功；③F1对物块不做功，F2 对物块做功为2J；④F1和F2对物块所做的总功为2J；⑤物块的重力势能增加了2J，其中正确的是A．①⑤
D．②④⑤第Ⅱ卷（非选择题，共125分）二、填空与解答题（第22~24题为化学试题，共53分；第25~27题为物理试题，共72分） 22.（共3小题，满分22分）（1）南山中学学生食堂的营养师们为高三同学冲刺高考竭尽全力，每日三餐为同学们精心准备了包括中餐、西餐在内的50多个营养菜品，如：a. 系列牛奶
b. 时鲜蔬菜
c. 系列米粥
d. 大米干饭
e. 各式花卷
f. 系列蛋品
h. 系列肉制品等①其中能提供大量维生素的是
；能提供大量蛋白质的是
；能提供大量糖类物质的是
（填字母代号）。②流星雨同学早餐吃的是鲜肉小包、花生牛奶、卤鸡蛋；中餐吃的是米饭、水煮鱼片、香菇丸子汤；晚餐吃的是咖喱兔柳饭、熊掌豆腐；夜宵吃的是醪糟汤圆。从科学摄入营养角第 16 页 共 16 页 度看，流星雨同学缺乏___________营养素的摄入。③流星雨同学每餐饭后都用洗涤剂清洗餐具上的油污，这是因为洗涤剂具有
的功能。（2）铝是当前应用最广泛的金属材料之一，铝的化合物在日常生活和工农业生产中也有 许多重要用途。①元素周期期表中铝元素的部分信息如右图所示，下列说法正确的是________。 A．铝的元素符号是AL
B．铝的原子序数是26.98
C．铝的原子核内质子数是13
D．铝在反应中易得到电子②家里的铝制饮具不宜用钢刷来擦洗，其原因是
。 ③在建筑装修中，常在铁管表面刷一层“银粉漆”，其实，银粉就是金属铝粉；盛装饮料的易拉罐和家用高压锅都是用铝合金制造的；铝合金还应用于飞机制造上。作为材料，铝及其合金与钢铁相比，其主要优点有（答两条）：
。④明矾是一种含铝的硫酸盐，可用于净水，这是因为明矾溶于水生成的胶状物可以___ ______悬浮于水中的杂质，使之从水中沉降出来。⑤胃舒平是治疗胃酸过多的常用药物，其中含有的有效成分是氢氧化铝，其治疗原理用加入稀盐酸的体积大于V时发生反应的化学方程式
。23.（共2小题，满分21分）（1）某化学兴趣小组取出废干电池筒内的黑色物质（可能含有C、MnO2、ZnCl2、NH4Cl等）进行研究，实验过程如图所示： ①操作Ⅰ中玻璃棒的作用是
；操作Ⅱ的名称是
。 ②操作Ⅲ中灼烧滤渣的化学反应方程式是
。③操作Ⅳ的试管中产生无色气体，该反应的化学方程式是
。检验试管中产生的气体的方法是
。④若ZnCl2和NH4Cl混合溶液中含有杂质CuCl2，会加速对电池的腐蚀，不利于混合溶液的回收利用。欲除去其中的Cu2+，最好选用下列试剂中的
（填字母序号）。A. NaOH
D. Na2CO3（2）塑料诞生一百年来风光无限，它的发明者贝克兰也因此荣获“塑料之父”的美誉。 ①当今，由于人们滥用塑料直接引发的一大环境问题是
。②在纪念塑料诞辰一百周年的活动中出现这样一幕：“塑料之父”的曾孙子一手拿着上第 17 页 共 17 页 世纪三十年代的塑料制成的手机，另一只手持可降解塑料制成的手机,,,,根据上述材料，你认为以下评价中合理的是
。A．塑料是二十世纪最糟糕的发明B．为了减少污染，应该禁用塑料制品C．在未来，塑料可能会以我们想象不到的方式服务于人类D．化学科学技术的发展可以解决塑料带来的环境污染③塑料制品在生产生活中应用十分广泛，南山中学高一化学兴趣小组的同学们欲探究市售塑料袋的组成。【查阅资料】市售塑料袋有的用聚乙烯 [ (C2H4)n ] 制成，有的用聚氯乙烯 [ (C2H3Cl)n ] 制成（其中n是上千或上万的数值）；HCl气体极易溶于水，有刺鼻气味，其水溶液即是盐酸；AgCl沉淀不溶于硝酸，而Ag2CO3沉淀要溶于硝酸。【实验鉴别】通过点燃的方法可以鉴别聚乙烯和聚氯乙烯。如果塑料袋点燃时有强烈的刺鼻气味，这种塑料袋可能是由
制成的。【实验探究】同学们通过讨论设计了如下图所示实验来探究塑料燃烧的产物。 Ⅰ. 若A瓶中燃烧的是聚乙烯塑料，则C瓶中的溶液会不会变浑浊？
（填“会”或“不会”）。Ⅱ. 若A瓶燃烧的是聚氯乙烯塑料，在B中集气瓶内可以看到的现象是瓶内有白雾产生，
；C、D瓶中分别发生反应的化学方程式为：C瓶
、D瓶___________________（若无反应发生，则此空不填）。24.（共1小题，满分10分）有一包固体粉末，可能是Na2SO4、CuSO4中的一种或两种组成的混合物，某化学实验小组的同学对其组成进行了以下探究活动：首先用托盘天平称取46.2 g该粉末，溶于水配成174.6 g溶液，所得溶液呈蓝色；其次往溶液中加入溶质质量分数为8 %的NaOH溶液至不再产生沉淀为止；最后过滤、洗涤、烘干，称量所得沉淀的质量为14.7 g。请通过计算回答下列问题（结果保留小数点后一位）：（1）所加NaOH溶液的质量是多少克？（2）46.2 g固体粉末的组成及相应的质量。（3）最后所得溶液中溶质的质量分数。 25.（本题共6个小题，每空2分，共28分）（1）为了探究声音产生的原因，小明和小华一起做了下面的实验：小明把手放在喉咙处大声讲话感觉喉头振动了；小华把正在发声的音叉靠近竖直悬挂的小球，小球被弹开。通过对这两个实验现象的分析，你得出的结论是：
．小华同学第 18 页 共 18 页 用手使劲敲桌子，桌子发出了很大的响声，但他几乎没有看到桌子的振动，为了明显地看到实验现象，你的改进方法是：
．（2）科学研究表明：空气对运动物体的阻力与物体速度的大小有关，物体速度越大，其受到的空气阻力越大．若不考虑风速的影响，跳伞运动员从高空向地面下落到打开降落伞之前的过程中，其运动情况是先做
运动，后做
运动．(选填“加速”、“减速”或“匀速”)（3）某同学(可看成一个点)第一次从足球场的一角O点开始以4m/s的速度向东匀速跑动10s，接着以3m/s的速度向北跑动10s到达P点。若该同学第二次直接从O点沿直线匀速跑到P点，所用时间也为10s，该同学第二次运动过程中的速度大小为_____m/s．（4）如图，建筑工地上有一块厚度、密度均匀的长方形水泥板放在水平地面上，工人用一竖直向上的力，欲使其一端抬离地面则:F甲_______ __F乙（填“&”、“&”或“＝”），因为_________________. （5）日上午，我国“向阳红09”试验母船搭载蛟龙号载人潜水器从无锡江阴苏南国际码头起航，奔赴马里亚纳海沟区域执行蛟龙号载人潜水器7000米级海试任务，挑战中国载人深潜历史的新纪录。蛟龙号在下潜过程中，受到水的压强不断
（选填“增大”、“不变”或“减小”），当蛟龙号下潜到7000m深处时，受到海水的压强为
Pa，某探测仪探头面积为0.12dm2，则海水在这块面积上产生的压力为
N。（取ρ海水=1.03×10kg/m3，
3g=10N/Kg） （6）如图所示，将一根导线平行置于静止的小磁针上方，当开关闭合时，小磁针发生偏转，这说明通电导体周围存在着
，将电源的正负极对调，再闭合开关，观察小磁针偏转方向的变化，可发现电流的磁场方向与
有关.（7）在我国的整个南海盆地群，石油地质资源量约在230-300亿吨之间，天然气总地质资源量约为16万亿立方米，占我国油气总资源量的1/3，还有储量极为丰富的可燃冰。我国海洋石油981深水钻井平台5月9日在南海成功开钻，将来可通过海底输油或输气管道，将南海的油气源源不断地输送到我国沿海一带能源紧缺地区．石油和天然气燃烧时，都是将________能转化为内能，已知天然气的热值为4×107J/m3，则每输送1000m3的天然气，完全燃烧后就相当于向城市输送了_____________J的能量。26.（每空2分，共22分）（1）玲玲同学为了探究同一物体所受的浮力大小与哪些因素有关，首先用弹簧秤测得均匀圆柱体重为G，进而完成了下面的实验：①将该柱体的一半浸在水中，如图甲，弹簧秤示数为F1；②将该圆柱体的一半浸在酒精中，如图乙，弹簧秤示数为F2；③将该圆柱体恰好没入酒精中，如图丙，弹簧秤示数为F3； 第 19 页 共 19 页
④将该圆柱体没入酒精中更深一些，如图丁，弹簧秤示数为F4；实验中保持物体处于静止状态，比较弹簧测力计示数大小的关系是：F1 ＜ F2 ＞ F3 ＝ F4，则：甲
丁a.由图甲和图乙的探究可以得出的结论是：
；b.由图乙和图丙的探究可以得出的结论是：
；c.由图丙和图丁的探究可以得出的结论是：
； (2)如图所示，把导线ab放在磁场里，接通电源，发现导线向左运动，由此可以判定ab中的电流是_________（填“a到b”或“b到a”），若将磁场反向同时将ab中电流反向，接通电源后，ab将向________运动（填“向左”或“向右”）（3）在“用伏安法测电阻”的实验中：①实验原理是
。②在下左图中将滑动变阻器正确连入电路（未知电阻大于5Ω，电源为两节干电池串联） ③如某次测量中，老师只提供了下列器材：电压恒定的电源一个（电压未知）、电压表一只、定值电阻R0一个（电阻已知）、单刀开关两只、导线若干．测待测电阻Rx的值，请用给定的器材（可不用完）按下列要求完成实验：a、在上右图的虚线框内画出你设计的电路图b、扼要写出实验的主要步骤（指出物理量的名称并用相应的符号表示）i.
.c、Rx的数学表达式为：RX=
（用所测量的物理量及相应的符号表示）. 第 20 页 共 20 页 27.（本题2小题，共22分解答过程中必须写出必要的文字说明、公式和重要的演算步骤，只写出最后答案的不能得分，有数值计算的题，答案中必须明确写出数值和单位）（1）、（8分）如图所示，弹簧测力计下面悬挂一个重8N的物体。当把物体浸没在水中时，弹簧测力计示数变为6N，此时圆柱形容器内水的高度为0.2m（g=10N／kg）．求： ①物体受到水的浮力多大？②物体的体积为多大？③当物体浸没在水中时，水对容器底部的压强为多大？ （2）、（14分）如图所示，绵阳南山双语学校科技小组的同学制作了一个打捞物体的自动 控制模型，E为配重，AOB是一个质地均匀的长方形横杆，其质量不计，OA∶OB=1∶3，在水平位置保持平衡。通过电动机Q可以控制杠杆B端抬起，从而将被打捞物体提起．已知滑轮D重为10N，B端定滑轮和提升电动机P的总质量是1kg，提升电动机P的功率为3W且保持不变，物体M的质量是1kg。只让提升电动机P工作，当物体M匀速上升时，提升电动机P对绳子的拉力为F1 ，B端滑轮组的机械效率为η1．若用质量为1.5kg物体N代替物体M，只让提升电动机P工作，当物体N匀速上升时，提升电动机P对绳子的拉力为F2， B端滑轮组的机械效率为η2，且η1∶η2=8∶9．不计绳的质量，不计滑轮与轴的摩擦,g取10N/kg，求：① F1 与F2的比值；② 只让提升电动机P工作，当物体M匀速上升时的速度υ；③ 当物体N被提升到一定高度后，提升电动机P停止工作，启动电动机Q将杠杆B端匀速抬起的过程中，电动机Q对绳子的拉力F的大小． 电动机B P 0.2m第 21 页 共 21 页 保密★启用前绵阳南山中学（实验学校）2013年自主招生考试数 学 试 题本套试卷分试题卷和答题卡两部份，试题卷共6页，满分150分，考试时间120分钟.注意事项：1.答卷前，考生务必将自已的姓名、考试号用0.5毫米的黑色签字笔填写在答题卡对应位置上，并认真核对姓名与考号;2.选择题每小题选出答案后，用2B铅笔将答题卡上对应题目的答案标号涂黑，如需改动，用橡皮擦干净后，再选涂其它答案标号，答在试题卷上无效;3.非选择题（主观题）用0.5毫米的黑色墨水签字笔直接答在答题卡上每题对应的位置上，答在试题卷上无效.作图一律用2B或0.5毫米黑色签字笔;4.考试结束后，请将本试题卷、答题卡一并上交. 第Ⅰ卷（选择题，共36分）一、选择题（本大题共12个小题，每小题3分，共36分.每小题给出的四个选项中，只有一个符合题目的要求）1．?4的相反数是
D．?4 42．绵阳科技城是四川省第二大城市，2012年国民生产总值约为万元，用科学记数法表示应为
B．1.4?1077
D．0.14?10
673．一次数学测试后，随机抽取九年级某班5名学生的成绩如下：91，78，98，85， 98．关于这组数据说法错误的是
)A．平均数是91
B．极差是20C．中位数是91
D．众数是984．在一个不透明的盒子中装有3个红球、2个黄球和1个绿球，这些球除颜色外，没有任何其他区别，现从这个盒子中随机摸出一个球，摸到黄球的概率为
D．1 2365．已知x是实数，且(x?2)(x??0，则x2+x+1的值为（
D． 13或7或36. 如图，在四边形ABCD中，E，F分别是AB，AD的中点，若EF=2，BC=5，CD=3，则sinC等于
4355（第6题图） 第 22 页 共 22 页
（第7题图）
7．如图，在平面直角坐标系中，过格点A，B，C作一圆弧，点B与下列格点的连线中，能够与该圆弧相 切的是
)A．点(0，3)
B．点(2，3)
C．点(6，1)
D．点(5，1)8．将抛物线y?3x向左平移2个单位，再向下平移1个单位，所得抛物线为
）A．y?3(x?2)2?1
B．y?3(x?2)2?1C．y?3(x?2)2?1
D．y?3(x?2)2?129．图中各图是在同一直角坐标系内，二次函数y=ax+(a＋c)x＋c与一次函数y?ax?c的大致图象，有且只有一个是正确的，正确的是
10. 如图⊙O是△ABC的外接圆，是的直径，⊙O半径为为
） 3AC?2nB，，则si223B．
3234 C．D．
43A． 11．如图，在矩形ABCD中，AB=2，BC=4．将矩形ABCD绕点C沿顺时针方向旋转90°后，得到矩形FGCE（点A、B、D的对应点分别为点F、G、E）．动点P从点B点E后停止，动点Q从点E开始沿EF-FG运动到点G后停止，这两点的运动速度均为每秒1个单位．若点P和点Q同时开始运动，运动时间为x（秒），△ APQ的面积为y，则能够正确反映y与x之间的函数关系的图象大致是（
D12. 如图，在?ABC中，AB?AC?5，CB?8，分别以AB、AC为直径作半圆，则图中阴影部分面积是
D．4A． 第Ⅱ卷（非选择题，共114分） 第 23 页 共 23 页 二、填空题（本大题共6个小题，每小题4分，共24分.请将答案填入答题卡相应的横线上.）x的取值范围是．3214．分解因式：a?4a?4a?．215．已知⊙O1与⊙O2的半径分别是方程x?8x?15?0的两根,且两圆的圆心距O1O2?t?2,若这两个圆相交,则t的取值范围为13．函数y?16. 在平面直角坐标系xOy中，有一只电子青蛙在点A(1,0)处．第一次，它从点A先向右跳跃1个单位，再向上跳跃1个单位到达点A1；第二次，它从点A1先向左跳跃2个单位，再向下跳跃2个单位到达点A2；第三次，它从点A2先向右跳跃3个单位，再向上跳跃3个单位到达点A3；第四次，它从点A3先向左跳跃4个单位，再向下跳跃4个单位到达点A4；……依此规律进行，点A7的坐标为An的坐标为（），则． 17. 如图，PA与⊙O相切于点A，PO的延长线与⊙O交于点C，若⊙O的半径为3，PA=4．弦AC的长为 C 第17题图AB边上一点，，AB?BC，E为18. 在直角梯形ABCD中，AD∥BC，?ABC?90°?BCE?15°，且AE?AD．连接DE交对角线AC于H，连接BH．下列结论：①△ACD≌△ACE； ②△CDE为等边三角形；③EHSAH?2；
④△EBC?． BES△EHCCH其中结论正确的是
. 三、解答题(本大题共7个小题，共90分.解答应写出文字说明、证明过程或演算步骤)19．（本题共2个小题，每小题8分，共16分）（11)0?2sin60??3?1． （2）先化简，后计算：，其中a?3.20．（本小题满分12分）近年来，绵阳郊区依托丰富的自然和人文资源，大力开发建设以农业观光园为主体的多类型休闲旅游项目，城郊旅游业迅速崛起，农民的收入逐步提高．以下是根据绵阳市统计局2013年1月发布的“绵阳市主要经济社会发展指标”的相关数据绘制的统计图表的一部分． 第 24 页 共 24 页
请根据以上信息解答下列问题：(1) 绵阳市2010年农业观光园经营年收入的年增长率 是；（结果精确到1%）(2) 请补全条形统计图并在图中标明相应数据；（结果精确到0.1）(3) 如果从2012年以后，绵阳市农业观光园经营年收入都按30%的年增长率增长，请你估算，若经营年收入要不低于2008年的4倍，至少要到
年（填写年份）. 21. （本小题满分12分）如图，已知等腰直角△ABC中，∠BAC=90?，圆心O在△ABC内部，且⊙O经过B、C两点，若BC=8，AO=1，求⊙O的半径. 22．（本小题满分122300元，销售单价定为3000元.在该产品的试销期间，为了促销，鼓励商家购买该新型产品，公司决定商家一次购买这种新型产品不超过10件时，每件按3000元销售;若一次购买该种产品超过10件时，每多购买一件，所购买的全部产品的销售单价均降低10元，但销售单价均不低于2500元.（1）商家一次购买这种产品多少件时，销售单价恰好为2500元？（2）设商家一次购买这种产品x件，开发公司所获得的利润为y元，求y（元）与x（件）之间的函数关系式，并写出自变量x的取值范围. 23．（本小题满分12分）如图，在△ABC中，AB=AC，以AC过点D作FE⊥AB于点E，交AC的延长线于点F．(1) 求证：EF与⊙O相切；(2) 若AE=6，sin∠CFD= 3，求EB的长． 5第 25 页 共 25 页 24. （本小题满分12分）如图，AB为⊙O的直径，AB=4，P为AB上一点，过点P作⊙O的弦CD，设∠BCD=m∠ACD．12?，求m的值，及∠BCD、∠ACD的度数各是多少？ mm?2AP 1?，求弦CD的长； （2）在（1）的条件下，且PB2AP 2-3（3）当时，是否存在正实数m，使弦CD?PB2?（1）已知如果不存在，说明理由. 25. （本小题满分14分）如图1，在平面直角坐标系xOy中，直线l：y?3x?m与x轴、4y轴分别交于点A和点B(0,?一个交点为C(n,)． 323)，抛物线y?x?bx?c经过点B，且与直线l的另4294(1) 求n的值和抛物线的解析式；(2) 点D在抛物线上，且点D的横坐标为t(0?t?n)．DE∥y轴交直线l于点E，点F在直线l上，且四边形DFEG为矩形（如图2）．若矩形DFEG的周长为p，求p与t的函数关系式以及p的最大值；(3) M是平面内一点，将△AOB绕点M沿逆时针方向旋转90°后，得到△A1O1B1，点A、O、B的对应点分别是点A1、O1、B1．若△A1O1B1的两个顶点恰好落在抛物线上，请求出点A1的横坐标． 第 26 页 共 26 页 绝密★启用前绵阳南山中学（实验学校）2013年自主招生考试英
题本试题分试题卷和答题卡两部分。试题卷共8页。满分150分，考试时间100分钟。 注意事项：1． 答题前，考生务必将自己的姓名、考号、用0.5毫米的黑色墨水签字笔填写在答题卡上，并认真核对。2． 1-50题使用2B铅笔填涂在答题卡对应题目标号的位置上，非选择题用0.5毫米的黑色墨水签字笔书写在答题卡的对应位置。在草稿纸、试题卷上答题无效。3． 考试结束后，将试题卷，答题卡一并交回。 第Ⅰ卷 （选择题，共 100 分）第一部分：英语知识运用（共两节，满分60分）第一节：单项填空（共15小题，每小题2分，满分30分）从 （ A、B、C、D) 四个选项中选出一个可以填入空白处的最佳选项，并在答题卡上将该项涂黑。1. He was told that ____10:00 bus would take him to Mianyang in time to reach ____NanshanHigh school.A. /
D. /; the2. Mother was so angry at all I was doing ____she walked out.A. which
D. as3. ---Who is late for class again?--- ____you ask? Tim, of course.A. Can
D. Need4. The traffic in the city was ____today, so as you guess, Mary got home far earlier than usual.A. heavy
D. scare5. When she was awake, she found that she was standing on____seemed to be a piece of stone.A. that
D. it6. It is difficult for most of us to eat better, exercise more, and sleep enough, ____we know weshould.A. as if
B. even though
D. before7. Starting a business is one thing, while keeping it running smoothly is quite____.A. the other
B. another
C. neither
D. others8. Let’s learn to use the problem we are facing____a stepping stone to future success.A. to
D. by9. Grandma found it increasingly difficult to read, for her eyesight was beginning to____.A. disappear
D. damage10.---I hear you are working at the Smith’s.---Yes, I _____ there for about three months.A. worked
B. have been working
C. was working
D. am working11.On the wall ____many pictures Mary drew during her childhood.A. hang
C. is hung
D. are hung12.While walking along the bank, he fell into the river but fortunately he was____by a passingboat.A. taken up
B. picked up
C.turned up
D. made up13.Eyes are known ____a powerful part of human body, known as the window of the heart.A. being
B. having been
D. to have been14.Usually John would be late for meetings. But this time, ____to my surprise, he arrived on time.A. little
D. even 第 27 页 共 27 页 15.---Excuse me, Mum, but I am going to the club to meet my friends in the football team.
---OK. ____________.A. Good luck
B. Congratulations
C. You’re welcome
D. Have fun第二节：完形填空（共15小题，每小题2分，满分30分）阅读下列短文，从短文后各题所给的( A、B、C、D)四个选项中选出能填入相应空白的最佳选项，并在答题卡上将该项涂黑。I used to doubt whether there was love between my parents. Every day they were very trying to earn money in order to pay the
tuition(学费) for my brother and me. They didn’t in the romantic ways that I read in books.One day, my mother was sewing a quilt(被子). I sat down beside her. “Mom, I have a question to ask you. Is there love between you and Dad?” I asked her a very low voice. She didn’t answer immediately and continued to sew the quilt. I was verybecause I thought I had hurt her. But I heard my mother say the following words:“Susan,” she said thoughtfully, “look at this thread(线). Sometimes it appears,most of it disappears in the quilt. The thread really makes the quilt strong and durable. If life is a quilt, then love should be a thread. It can be seen anywhere or anytime, but it’s really there. Love is inside.”I listened carefully but I couldn’t understand her the next spring. At that time, my father suddenly got sick seriously. My mother had to stay with him in the hospital for a month. When they
from the hospital, they both looked very and dusk, my mother helped my father walk slowly on the country road.“Dad, how are you now?” I asked him one day. “Susan, don’t worry about me,” he said gently. “To tell you the
, I just like walking with yourMom.”
his eyes, I know he loves my mother deeply.Once I thought love meant flowers, gifts and sweet kisses. But from this that love is just a thread in the quilt of our life. Love is inside, making life strong and warm.16. A. hard
D. free17. A. expensive
D. high18. A. act
D. treat19. A. in
D. by20. A. disappointed
B. worried
D. serious21. A. in end
B. at last
C. at least
D. in fact22. A. but
D. so23. A. possibly
D. hardly24. A. before
D. since25. A. left
C. returned
D. came26. A. sad
B. healthy
D. weak27. A. going
C. feeling
D. getting28. A. secret
C. information
D. matter29. A. Looking
B. Reading
C. staring
D. Noticing30. A. experience
B. knowledge
D. inspiration 第二部分：阅读理解（共20小题，每小题2分，满分40分）第一节：短文理解（共15小题，每小题2分，满分30分）阅读下列短文，从短文后各题所给的( A、B、C、D)四个选项中选出最佳选项，并在答第 28 页 共 28 页 题卡上将该项涂黑。AIn most languages, a greeting is usually followed by “SMALL TALK”. Small talk means little things we talk about at the start of the conversation. In English speaking countries people often make small talk about the weather. “Nice day, isn’t it?” “Terrible weather, isn’t it?” But there is something special about small talk. It must be about something that both people have the same opinion about. The purpose of small talk is to let both people agree on something. This makes meeting people easier and more comfortable. People usually agree about the weather, so it is a safe topic for small talk in English. The topics for small talk about the game they are watching, “Great game, isn’t it?” At bus stops, people may comment about the transport system, “The bus service is terrible, isn’t it?”Greetings and small talk are important parts of conversation in any language. The way people greet each other and the things they talk about ,however, may be different from one language to another. This shows that there is much more to learn when we learn a language than just the vocabulary and the grammar of the language. We also have to learn the social behavior of the people who speak it.31. Small talk is __________.A. a kind of conversation with short wordsB. a greeting when people meet each otherC. to let people disagree about somethingD. something we talk about to start with a conversation32. The favorite topic of small talk is about __________.A. the weather
B. politics
D. languages33. The text suggests that when we learn a language ___________.A. we should learn about the transport system of the countryB. we should only master the grammar and vocabularyC. we should know the culture about the countryD. we should know the importance of the language34. When we say “Great game, isn’t it?”, we in fact ________.A. ask a question
B. have a conversation
C. greet each other
D. begin a small talkBI didn’t have many friends growing up. I didn’t realise what I was missing until I met Alicia. We met in a history class my freshman year of college. The first time we hung out, she asked me a question to test my character.“If you were in a sinking boat, would you try to fix it or just build a new one?” I admit I was a little u I didn’t know how big the boat was, or how much water was in it, or if I even had any tools for rebuilding. I never gave her a straight answer! But our friendship began.We went walking, doing things in the dorms and studied togther in coffee shops. She was a bridesmaid(伴娘) in my wedding, and we both walked 100 miles an hour. People even thought we were sisters because we looked alike in pictures. I really loved having a best friend. Yet as time went, we found ourselves in a trouble.We were very different from each other. Lighthearted differences of opinion quickly turned into heated discussions, and it seemed to take a lot of work to keep the relationship. For a while, it just wasn’t fun—it was a trouble to be together. At times we both just wanted to give up. I have to第 29 页 共 29 页 admit that if it had been up to me, our friendship would have ended. Why push something that just isn’t working anymore?But Alicia saw something in me that was worth keeping. I know she swallowed more of her pride than I did. Now, I’m extremely glad we worked things out. Next to my husband and my sister, she is my closest friend. Even though we reach life from entirely different world views, we often find ourselves helping others together and seeing results only God could have brought. What a surprising life lesson God has taught us about forgiveness! Now, our differing opinions are easy to laugh about. She can eat her vanilla while I have my chocolate.35. When did “I” meet Alicia?A. When I was a child.
B. When I was a college student.C. After I began to work.
D. When I hung out with her.36. Why do people think Alicia and “I” are sisters?A. Because they looked alike.
B. Because they often stayed together.C. Because they call each other sister.
D. Because Alicia was my bridesmaid.37. What was the trouble between us?A. We disliked each other.
B. We both got tired of each other.C. we both had new friends.
D. We had different opinions on things.38. According to the passage, which of the following is the most important in removing thetrouble?A. Forgiveness
D. GodCIf you wish to become a better reader, here are four important things to remember about reading rate:Know why you are reading or what you are reading to find out. This will often help you to know whether to read quickly or slowly.Some things should be read slowly throughout. Examples are directions for making or doing something, math problems, science and history books. They are full of important information. You must read such things slowly to remember each important step and understand each important ideas.Some things should be read quickly throughout. Examples are simple stories meant for enjoyment, new letters from friends, pieces of news from local, or hometown, papers. They are telling what is happening to friends and neighbors.In some of your reading, you must change your speed from fast to slow and slow to fast, as you go along. You will need to read certain pages quickly. Then slow down and do more careful reading when you come to important ideas which must be remembered.39. Which should be read slowly according to the passage?A. Stories for enjoyment.
B. Math problems.C. Letters from friends.
D. News from hometown newspapers.40. How fast should we read?A. The faster, the better.
B. The more slowly, the better.C. Neither too fast nor too slow.
D. It depends on what we are reading.41. According to the passage which of the following is NOT ture?A. Read slowly when you are reading something important to you.B. Read fast when you are reading something unimportant to you. 第 30 页 共 30 页 C. Read the materials that you are interested in slowly.D. Read the materials that you are interested in fast.DI will tell you the truth about plastic bags—the good and the bad sides and give a solution to this problem. Whether it is a shopping bag, a food bag or a trash bag, they are all made of plastic. Grocery store owners are very generous（慷慨的） in using plastic bags. They place the fruit in one bag and drop the box of milk in another. Ever wonder why?The good side of plastic bagsGrocery stores, shopping centers, and restaurants are not thrifty in using and giving out plastic bags because they cost no more than a cent each,while a paper bag costs four cents. Plastic bags are produced so cheaply and massively（大量地） that they are used by 80% of store owners. In addition,they are light and very easy to carry and store.The production of plastic bags has increased greatly over the last 20 years and producers of plastic bags are making large profits（利润）. However, the bad side of plastic bags is becoming well-known. More people are now getting worried that the earth is becoming a victim（受害者） of the plastic bag success story.The bad side of plastic bagsWhile production and use of plastic bags is good for business, it is not so for our Mother Earth. They have resulted in an increase in the amount of litter found floating in water or in the streets where we live.Plastic storage bags, after usage, usually go to landfills as trash bags. They make the oceans dirty. They kill sea animals. They give off bad gases when burned. They simply pollute the ground, air and water.That is the true cost of plastic bags and it looks like it is more than a cent. These are very alarming concerns and proper action needs to be taken.42. What is this passage mainly about?A. Why people use plastic bags.
B. The harm of using plastic bags.C. How to prevent the use of plastic bags.
D. The good and bad sides of plastic bags.43. If some people are very thrifty, we probably mean they _________.A. are careful with money
B. like using plastic bagsC. like using paper bags
D. are careful with everything44. According to Paragraph 3, plastic bag producers _________.A. are now worried that the earth will become a victim of plastic bagsB. don’t think they have done enough to popularize plastic bagsC. have not realized the harm of plastic bagsD. have succeeded in popularizing the use of plastic bags45. What will the writer most probably talk about in the following paragraph?A. How plastic bags are produced.B. How plastic bags are used.C. How to popularize the use of paper bags.D. How to solve the problems caused by plastic bags.第二节：补全对话（共5小题，每小题2分，满分10分）根据下面的对话内容，从方框内的选项( A、B、C、D、E、F或G)中选出最佳选项，并在答题卡上将该项涂黑。选项中有两个为多余选项。(D-doctor
P-patient) 第 31 页 共 31 页 D: Can I help you?P:D: What’s the matter with it?P: Oh, it’s terrible! I was burnt in a fire caused by smoking.D: P: Oh,nothing. I didn’t know what to do.D: Ok. Let me examine it and put some medicine on it.P: Ah, I feel a great pain here. Would you mind me lying down?D: Of course not. Luckily, it is not badly burnt.P:D: Just stay in bed until next Friday. Don’t move.P:D: No, you can’t do that. Take this medicine three times a day.P: Oh, it’s terrible! Terrible! I hate it!第II卷 （非选择题，共 50 分）第三部分：（共两节，满分50分）第一节：选词填空（共10小题，每小题2分，满分20分）阅读下面短文，根据文中意思，从方框中选出恰当的词，并在答题卷上对应题号后面的横线上写出各单词的完整、正确的形式，使短文文理通顺，意义完整。The answer largely on cultural values as well as
experiences. To the Egyptians, green is a color that gives the hope and joy of spring, while for Muslims, it means Heaven. Red is a symbol（象征） of good luck in many . In China, children are given money in a red envelope to bring good fortune in the New Year. For many nations, blue is a symbol of
and gods. Greek people often wear a blue necklace,
to protect themselves against bad things.People’s of colors is also influenced by their bodies’
reactions towards them. Green is said to be the most restful color. It can reduce pain and relax people both mentally(精神地) and physically（身体地）. people who work in green environment have been found to have
stomachaches.Red can cause a person’s blood pressure to rise and make people eat more. Many decorators(装饰人员) will include red in the restaurant. Similarly, many commercial websites will have a red “Buy Now” button because red is a color that
easily a person’s eye. 第 32 页 共 32 页 Blue is another calming color.
red, blue can cause people to eat less. So if you want to lose weight, some suggest that eating from blue plates can help.The next time you are on what to wear or what color to decorate your room, think about the color carefully.第二节：书面表达（共1题，满分30分）为了帮助刚进入高中学习的高一新生适应新的学习生活环境并正确认识和处理各种压力，南山中学校团委特意开展了一次以"Less Pressure, Better Life"为主题的英语演讲比赛，请你准备发言稿，谈谈你的看法，与同学分享，内容包括：1. 同学们中普遍存在的压力；2. 我的压力；3. 我缓解压力的方法。注意：文中不得出现真实的姓名和}