题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043422-21276.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043422-86326.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043423-92008.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043423-37797.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043423-65014.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043423-10301.gif)
(Ⅰ)求证:数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043423-62142.gif)
(Ⅱ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043422-21276.gif)
(Ⅲ)求下表中前
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043423-75812.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043423-75416.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043423-62142.gif)
(Ⅱ)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043423-40355.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043423-75416.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043424-87079.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043422-86326.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043423-92008.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043423-37797.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043424-43664.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043424-36979.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043424-32737.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043424-21384.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043424-30644.gif)
∴ 数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043423-62142.gif)
(Ⅱ)由(Ⅰ)得
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043424-37794.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043424-84619.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043425-72605.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043425-61062.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043423-40355.gif)
(Ⅲ)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043425-55753.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043425-87865.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043425-11603.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043426-66482.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043423-75812.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043426-16574.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043426-20673.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043426-89032.gif)
∴ 表中前
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043423-75812.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043427-72309.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043427-18952.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043427-53714.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043424-87079.gif)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043406-55679.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043407-90655.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043407-26909.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043407-23374.gif)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043407-33827.gif)
(2)若点
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043407-43327.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043408-77651.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043408-81212.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043408-57240.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043408-78068.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043409-65097.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043409-61797.gif)
都成立。(8分)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043349-26222.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043349-57492.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043349-20704.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043349-86884.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043349-62767.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043349-64658.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043350-40063.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043350-10467.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043350-11181.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043350-64940.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043350-82276.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043350-58987.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043349-26222.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043350-57835.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043350-57801.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043351-31606.gif)
(1)判断
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043349-86884.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043351-38964.gif)
(2)求
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043351-82573.gif)
(3)当
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043349-26222.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043351-21152.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043352-14865.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043352-30261.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043352-44503.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043334-93238.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043335-59582.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043335-83065.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043335-61736.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043335-80013.gif)
数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043335-27317.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043336-49111.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043336-16976.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043336-73345.gif)
(1) 求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043334-93238.gif)
(2) 设
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043336-60969.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043336-33608.gif)
(3) 若(2)中数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043336-33608.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043337-15559.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043337-57713.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043337-75003.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043337-15559.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043337-97617.gif)
等比数列{
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043326-55838.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043326-63188.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043326-84140.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043326-98213.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043327-24799.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043327-67197.gif)
(1)求r的值;
(11)当b=2时,记
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043327-69804.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043326-84140.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043327-35014.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043316-47025.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043317-89207.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043317-42132.gif)
(Ⅰ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043317-45723.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043316-47025.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043317-22997.gif)
(Ⅲ)设数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043317-31644.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043318-90549.gif)
证明:(1)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043318-26520.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013043318-78688.gif)
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