题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124738-89306.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124739-87641.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124739-84693.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124739-40936.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124740-45551.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124740-13798.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124740-36634.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124740-45551.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124740-83872.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124741-10952.jpg)
(Ⅰ)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124740-83872.gif)
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124741-68135.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124741-23607.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124739-40936.gif)
答案
(Ⅰ)略
(Ⅱ)
解析
解:
(Ⅰ)将直线
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124739-84693.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124741-76835.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124741-83385.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124742-82215.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124740-45551.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124742-45799.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124742-31393.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124743-27378.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124743-80944.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124743-43611.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124743-27378.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124743-40261.gif)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124743-48036.gif)
(Ⅱ)由于
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124744-84216.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124744-51610.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124744-47546.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124744-12397.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124745-99507.gif)
则有
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124745-41962.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124745-70910.gif)
① - ②,得
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124745-31946.gif)
=
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124746-99577.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124746-87263.gif)
核心考点
试题【设是坐标平面上的一列圆,它们的圆心都在轴的正半轴上,且都与直线相切,对每一个正整数,圆都与圆相互外切,以表示的半径,已知为递增数列.(Ⅰ)证明:为等比数列;(Ⅱ】;主要考察你对等差数列等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124657-70267.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124657-44951.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124657-71405.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124658-79649.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124658-79469.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124658-81825.gif)
(1)试求
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124657-70267.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124657-70267.gif)
(2)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124658-56007.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124659-62209.gif)
(3) 求
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124659-13760.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124622-26526.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124623-44580.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124623-38446.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124623-21650.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124623-60498.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124624-18702.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124624-31276.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124623-60498.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124623-60498.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124624-62350.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124614-75682.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124614-34860.gif)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124543-71625.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124548-79110.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124548-43843.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124549-10116.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124549-59655.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124549-65555.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124550-61226.gif)
A.18 | B.24 | C.60 | D.90 |
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124527-62960.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011124533-85996.gif)
A.![]() | B.![]() | C.![]() | D.![]() |
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