题目
题型:不详难度:来源:
(1)求数列{an}的通项公式;
(2)设bn=log3a1+log3a2+…+log3an,求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100102-60896.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100102-66615.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100102-59575.png)
解析
试题分析:(1)由
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100102-72943.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100103-55821.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100103-41167.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100103-13379.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100103-26927.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100103-51663.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100103-79947.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100104-15037.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100104-40480.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100104-87917.png)
试题解析:(1)设数列{an}的公比为q.由
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100102-72943.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100103-55821.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100104-41288.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100105-51445.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100105-61620.png)
由
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100103-13379.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100105-76880.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100105-94772.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100102-66615.png)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100105-54517.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100105-69668.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100104-15037.png)
故
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100104-40480.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100104-87917.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100106-80148.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100106-61459.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100106-56910.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100108-99641.png)
所以数列
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100102-60896.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009100102-59575.png)
核心考点
试题【等比数列{an}的各项均为正数,且2a1+3a2=1,a32=9a2a6.(1)求数列{an}的通项公式;(2)设bn=log3a1+log3a2+…+log3】;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/20191009/20191009095934-11583.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095934-28646.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095934-77434.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095935-68438.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095915-35966.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095915-86706.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095915-46026.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095916-93450.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095916-79332.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095916-11996.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095916-11996.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095916-11996.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095916-25945.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095615-86397.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095616-27023.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095616-23493.png)
命题
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095616-37172.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095616-27023.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095616-58709.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095617-31732.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095616-23493.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095617-50433.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095617-50178.png)
⑴若
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095616-37172.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095616-58709.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095617-50178.png)
⑵对于⑴中的
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095617-11600.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095618-59666.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095616-37172.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095616-58709.png)
⑶若
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095616-37172.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095616-23493.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095618-25085.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095616-27023.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095618-43424.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095615-86397.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095532-77127.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095532-88059.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095532-46466.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095437-21819.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095437-40595.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095438-98798.png)
(Ⅰ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095437-21819.png)
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095438-11204.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095438-25483.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095438-14380.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095439-20877.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095439-20467.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191009/20191009095439-33622.png)
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