题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093212-95314.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093213-11112.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093213-20333.png)
(1)求函数
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093213-77247.png)
(2)若等差数列
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093214-87453.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093214-39133.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093214-32459.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093214-61143.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093215-30812.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093215-62502.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093215-18023.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093215-96084.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/20191009/20191009093213-20333.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093215-49430.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093216-96316.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093216-38389.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093216-68930.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093216-26500.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093214-87453.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093214-39133.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093215-30812.png)
试题解析:(1)由题意
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093216-94604.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093217-45822.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093217-22944.png)
又因为
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093217-58348.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093217-77011.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093218-79288.png)
(2)因为
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093218-56971.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093218-34940.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093218-81808.png)
设等差数列公差为
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093219-50268.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093219-39311.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093219-32435.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093219-95742.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093220-14845.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093003-16369.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093004-45225.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093004-19377.png)
(1)求
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093003-16369.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093004-55162.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093004-37566.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093004-44499.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093005-54422.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009093005-88413.png)
(1)设夏某第
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009092957-33410.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009092957-51116.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009092957-39464.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009092957-90382.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009092958-47672.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009092957-90382.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009092957-51116.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/20191009/20191009092556-65274.png)
A.3 | B.4 | C.6 | D.7 |
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009092530-26888.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009092530-40811.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009092531-93029.png)
(1)已知
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009092531-87774.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009092531-87774.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009092531-30678.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009092532-76800.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009092532-23150.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009092532-68559.png)
(2)已知
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009092531-87774.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009092532-95178.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009092532-97326.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009092533-51419.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009092533-63566.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009092525-66804.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009092525-47568.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009092525-66804.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009092525-22008.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009092526-79053.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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