题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001045-48934.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001045-13216.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001045-59883.png)
(1)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001045-55615.png)
(2)若等差数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001046-28728.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001046-89045.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001046-23638.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001046-42308.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001046-82452.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001047-12437.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001047-28065.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001047-63828.png)
解析
试题分析: 本题是三角函数与数列的综合题目,考查三角函数的最值、解析式,数列的通项公式、求和公式等基础知识,考查数形结合思想、转化思想和计算能力.第一问,根据已知条件,当
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001045-59883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001047-76145.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001048-14006.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001048-53165.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001048-77555.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001049-41912.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001046-28728.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001046-89045.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001046-82452.png)
试题解析:(1)由题意
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001049-29367.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001049-66418.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001049-37094.png)
又因为
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001049-31841.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001050-32834.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001050-60359.png)
(2)因为
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001050-33839.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001050-57957.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001051-32420.png)
设等差数列公差为
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001051-82819.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001051-16698.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001051-66198.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001052-62385.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001052-49138.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001029-66563.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001029-54529.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001029-39485.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001029-66563.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001030-74326.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001030-30566.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001030-15121.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001030-35109.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001030-19759.png)
(1)设夏某第
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001000-42306.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001001-61052.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001001-23122.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001001-64330.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001001-96068.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001001-64330.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012001001-61052.png)
(2)预计年底夏某还清银行贷款后的纯收入。(参考数据:1.1211≈3.48,1.1212≈3.90,0.1211≈7.43×10﹣11,0.1212≈8.92×10﹣12)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012000951-44666.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012000951-26113.png)
(1)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012000951-47066.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012000951-11922.png)
(2)若等差数列
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012000951-28777.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012000952-80764.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012000952-49356.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012000952-85498.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012000952-78003.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012000953-25725.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012000927-28036.png)
A.3 | B.4 | C.6 | D.7 |
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012000846-41088.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012000846-37361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012000846-26224.png)
(1)已知
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012000847-11735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012000847-11735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012000847-33706.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012000847-31795.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012000847-63273.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012000847-54761.png)
(2)已知
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012000847-11735.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012000847-68771.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012000847-79733.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012000847-43025.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191012/20191012000847-54140.png)
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