题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232620-54965.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232620-80914.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232620-67747.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232620-81470.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232621-88562.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232621-15764.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232621-92148.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232621-11601.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232621-69613.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232621-59332.png)
(2)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232622-92984.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232620-67747.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232622-56549.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232622-37961.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232622-62680.png)
解析
试题分析:
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232622-22446.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232620-54965.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232623-57432.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232621-88562.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232623-18004.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232620-67747.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232621-92148.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232621-11601.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232623-59480.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232623-59480.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232621-69613.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232621-59332.png)
(2)根据数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232622-92984.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232620-67747.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232622-56549.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232623-21163.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232623-53808.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232624-54320.png)
由(1)(2)两式两边分别相减,可转化为等比数列的求和问题解决.
试题解析:(1)设
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232620-54965.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232623-57432.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232621-88562.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232623-18004.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232623-57432.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232624-99216.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232624-81557.png)
依题意有
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232624-96903.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232624-36342.png)
解得
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232624-30764.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232625-12426.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232625-56590.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232623-21163.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232625-50762.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232625-72893.png)
两式相减得
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232625-72220.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232626-95728.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232622-62680.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232620-67747.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232554-31733.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232554-55502.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232554-49660.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232555-94131.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232555-85406.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232518-70789.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232519-84656.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232519-89355.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232519-14077.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232519-25663.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232459-16368.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232500-31443.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232459-16368.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232500-72415.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232500-49622.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232500-68702.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232500-49622.png)
(2)令
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232501-31150.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232501-25681.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232500-72415.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011232507-90660.png)
A.-![]() | B.![]() |
C.±![]() | D.-![]() |
A.1 | B.4 | C.14 | D.15 |
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