题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150253-17703.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150253-86380.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150253-89711.gif)
①求a的值;
②对于任意的
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150254-54480.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150254-85436.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150254-86984.gif)
③令
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150254-20063.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150255-88446.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150255-89453.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150255-46789.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150255-40748.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150255-19819.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150256-37352.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150256-79639.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150256-46222.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150257-69689.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150257-15570.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150257-25881.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150257-33229.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150256-46222.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150257-25420.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150258-60946.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150258-47073.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150255-89453.gif)
(2)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150258-32639.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150258-72779.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150259-46405.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150257-25881.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150255-46789.gif)
(3)设数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150255-88446.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150259-86569.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150259-97116.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150259-38497.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150300-25848.gif)
化简得:
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150300-85178.gif)
当n=1时,由(*)式得 b=1,与题意矛盾,当n=2时,由(*)式得 b=4,
即
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150300-81837.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150300-33551.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150301-71558.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150301-71548.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150257-25881.gif)
综上所述,当
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150301-78032.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150301-56995.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011150255-88446.gif)
核心考点
试题【已知等差数列的首项为a,公差为b,等比数列的首项为b,公比为a,其中a、b都是大于1的正整数,且。①求a的值;②对于任意的,总存在,使得成立,求b;③令,问数列】;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/20191011/20191011145905-34337.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011145905-92092.gif)
和
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011145905-39279.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011145756-34041.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011145807-29374.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011145808-99063.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011145808-55493.gif)
A.1 | B.2 | C.3 | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011145751-52686.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011145751-41895.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011145752-48053.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011145752-17649.gif)
(1)“数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011145714-23610.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011145714-98164.gif)
(2)“
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011145714-13471.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011145714-99772.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011145715-29525.gif)
(3)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011145715-40815.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011145715-24869.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011145715-54875.gif)
(4)设
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011145715-32392.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011145727-71084.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011145727-48920.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011145732-10968.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011145733-86332.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011145733-42571.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011145733-17141.gif)
其中真命题的序号是 (写出所有真命题的序号)
设数列
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011145649-35351.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011145650-95928.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011145650-54984.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011145650-94313.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011145650-94266.gif)
(Ⅰ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011145651-49724.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011145651-40022.gif)
(Ⅱ)若
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011145651-24437.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011145651-27050.gif)
(Ⅲ)是否存在p和q,使得
![](http://img.shitiku.com.cn/uploads/allimg/20191011/20191011145652-41406.gif)
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