题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182532-35811.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182532-28464.png)
(1)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182532-33329.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182532-28464.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182532-28464.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182533-27249.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182532-33329.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182533-57946.png)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182533-85576.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182532-28464.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182533-37985.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182533-85576.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182534-60365.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182534-93766.png)
解析
试题分析:解: 因数列
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182534-45011.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182534-61107.png)
又
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182534-17485.png)
当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182535-30510.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182535-62015.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182535-45416.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182535-74976.png)
两式相减
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182536-68663.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182534-60365.png)
由(1)知
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182536-76998.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182536-91969.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182536-68502.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182536-79179.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182536-68502.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182537-69625.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182536-68502.png)
只需
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182537-31531.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182537-76082.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182537-48960.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182537-65709.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182538-50894.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182538-48992.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182538-57408.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182534-93766.png)
点评:主要是考查了数列的求和以及数列的单调性的运用,属于中档题。
核心考点
试题【已知函数f(x)=(m为常数0<m<1),且数列{f()}是首项为2,公差为2的等差数列.(1)=f(),当m=时,求数列{}的前n项和;(2)设=·,如果{}】;主要考察你对函数的相关概念等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182510-49448.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182510-74598.png)
(Ⅰ)当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182510-19113.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182511-25126.png)
(Ⅱ)当
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182511-88219.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182511-25126.png)
(Ⅲ)求证对任意不小于3的正整数
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182511-32043.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182511-99742.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182500-15843.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182501-60455.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182501-41431.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182501-77080.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182501-50728.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182447-97902.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182447-26250.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182448-72297.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182448-66454.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182448-42353.png)
(Ⅰ) 如果只投放1个单位的固体碱,则能够维持有效的抑制作用的时间有多长?
(Ⅱ) 第一次投放1单位固体碱后,当污染河道水中的碱浓度减少到
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182448-42353.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182448-64680.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182448-64680.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182425-81101.png)
(1)若曲线
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182426-42648.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182426-42439.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182426-23365.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182426-42648.png)
(2)若对于
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182426-88623.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182426-34543.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182427-64293.png)
(3)记
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182427-31877.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182427-34695.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182427-51676.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182428-93408.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182428-43667.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182341-30980.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182341-74573.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182342-48365.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182342-34958.png)
![](http://img.shitiku.com.cn/uploads/allimg/20200204/20200204182342-52250.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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