题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030016-58366.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030016-13781.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030016-90964.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030017-22618.png)
(I)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030017-23919.png)
(II)设等比数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030017-56677.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030017-37715.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030018-54971.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030016-13781.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030018-52098.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030018-28154.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030018-64536.png)
解析
试题分析:(I)求等差数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030017-23919.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030017-23919.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030018-35170.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030019-86921.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030018-35170.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030019-86921.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030018-35170.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030019-86921.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030017-23919.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030019-70525.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030017-23919.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030018-54971.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030016-13781.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030018-52098.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030018-54971.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030019-56861.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030019-90317.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030016-13781.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030018-52098.png)
试题解析:(Ⅰ)由
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030020-79198.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030020-35196.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030020-38229.png)
又因为
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030020-35317.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030020-25368.png)
从而
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030021-87029.png)
(Ⅱ)由上可得
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030021-89043.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030021-93084.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030022-20918.png)
从而
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030022-94741.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030022-15462.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012030016-13781.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025942-34628.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025943-78745.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025943-28447.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025943-24601.png)
(I)证明数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025943-57189.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025942-34628.png)
(II)若
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025944-44828.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025944-10485.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025944-40242.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025944-40330.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025902-11544.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025902-81342.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025902-85521.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025902-64220.png)
(I)证明数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025902-86398.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025902-11544.png)
(II)若
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025903-16618.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025903-65954.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025903-46779.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025904-90796.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025848-24129.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025848-89460.png)
A.20 | B.21 | C.22 | D.23 |
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025843-63816.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025843-96258.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025843-63816.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025843-96258.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025843-18179.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025843-12333.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025844-60274.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025844-88700.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025808-78592.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025808-67081.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025808-78671.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025808-53924.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025809-60989.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025809-66697.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025809-86696.png)
(Ⅰ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025808-78592.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025808-53924.png)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025809-78486.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025809-63522.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025808-67081.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012025810-73311.png)
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