计算1/X(X-1)+1/(X-1)(X-2)+1/(X+2)(X-3)+……+1/(X-2012)(X-2013)并求当X=-1时该代数式的值_百度知道x/(1*2)+x/(2*3)+x/(3*4)+....x/()_百度知道您好！解答详情请参考：
菁优解析考点：；．专题：函数的性质及应用．分析：用零点存在性定理，得f（x）在R上有唯一零点x1∈（-1，0），g（x）在R上有唯一零点x2∈（1，2），结合函数图象的平移知识可得F（x）的零点所在的区间，由此不难得到b-a的最小值．解答：解：∵f（x）=1+x-22+33-44+…-20122012+20132013+2015，∴f（0）=1＞0，f（-1）=--＜0，∵函数f（x）有唯一零点x1，∴根据根的存在性定理可知x1∈（-1，0）．∵g（x）=1-x+22-33+…+20122012-20132013-2015，∴g（1）=＞0，g（2）=1-2+22-233+…+20142014-220152015＜0，∵函数g（x）有唯一零点x2，∴根据根的存在性定理可知x2∈（1，2）．由F（x）=g（x+3）f（x-4）=0，则g（x+3）=0或f（x-4）=0．由x-4∈（-1，0）．得-1＜x-4＜0，即3＜x＜4，∴函数f（x-4）的零点在（3，4）．由x+3∈（1，2）．，得1＜x+3＜2，即-2＜x＜-1，∴函数g（x+3）的零点在（-2，-1）．即函数F（x）=f（x-4）og（x+3）的零点在（3，4）和（-2，-1）内，∵F（x）的零点均在区间[a，b]，（a＜b，a，b∈Z），∴b≥4，a≤-2，∴b-a≥6，即b-a的最小值是6．即x2+y2=b-a的面积的最小值为x2+y2=6的面积的最小值2=6π故答案为：6π点评：本题给出关于x的多项式函数，求函数零点所在的区间长度的最小值．着重考查了函数的零点．综合性较强，难度较大．答题：maths老师　
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Oxygen-octahedral phonon properties of
microwave ceramics
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J. Appl. Phys. 101, 084115 (Sun Apr 15 00:00:00 UTC 2007);
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Oxygen-octahedral phonons for both 1:2 ordered
and 1:1 ordered
ceramics were investigated using Raman scattering. Lineshapes of phonons directly reflect structural characteristic of , , , and
octahedral cages that are strongly correlated with microwave performance of the samples. The larger width of stretching phonon, implies poor crystalline structure and short phonon lifetime, giving us lower value of . The atomic polarizabilities of , , , , and
have a strong influence on the structure of oxygen octahedron that dominates microwave performance of
and ceramics.
Received Sat Dec 16 00:00:00 UTC 2006
Accepted Fri Feb 23 00:00:00 UTC 2007
Published online Mon Apr 30 00:00:00 UTC 2007
Acknowledgments:
The work was supported by the National Science Council under Grant Nos. NSC-95–2112-M-003–001 and NSC-95–2627-M-003–003.
Article outline:
I. INTRODUCTION
II. EXPERIMENT
III. RESULTS AND DISCUSSION
IV. CONCLUSION
Key Topics
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Oxygen-octahedral phonon properties of xBaTiO3+(1-x)Ba(Mg1∕3Ta2∕3)O3 and xCa(Sc1∕2Nb1∕2)O3+(1-x)Ba(Sc1∕2Nb1∕2)O3 microwave ceramics
J. Appl. Phys. 101, 084115 (Sun Apr 15 00:00:00 UTC 2007);
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Scitation: Oxygen-octahedral phonon properties of xBaTiO3+(1-x)Ba(Mg1∕3Ta2∕3)O3 and xCa(Sc1∕2Nb1∕2)O3+(1-x)Ba(Sc1∕2Nb1∕2)O3 microwave ceramics
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