题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034155-53267.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034155-69903.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034155-17892.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034156-99454.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034156-40858.gif)
当
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034156-34254.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034156-69932.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034156-63750.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034157-18714.gif)
(Ⅰ)求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034155-53267.gif)
(Ⅱ)设
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034157-62905.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034157-99393.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034157-40897.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034155-17892.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034156-40858.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034157-99393.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034158-30011.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034158-76211.gif)
解析
⑵由⑴知,
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034158-30011.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034158-37680.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034158-48053.gif)
①-②,得
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034158-77001.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034159-76290.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034158-76211.gif)
核心考点
举一反三
已知一非零向量列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034137-10997.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034137-65752.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034137-79971.gif)
(1)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034138-23493.gif)
(2)设
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034138-86170.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034138-83337.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034138-45347.gif)
(3)设
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034139-84708.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034139-19212.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034128-31121.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034128-14332.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034128-99644.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034129-32768.gif)
且满足
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034129-19450.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034129-20161.gif)
(Ⅰ)求
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034129-66407.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034129-95474.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034128-14332.gif)
(Ⅱ)试确定实数
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034129-38571.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034129-86279.gif)
设数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034113-87139.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034113-30131.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034114-68452.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034114-80555.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034114-97107.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034114-59307.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034114-79491.gif)
(1) 求数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034113-87139.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034115-84229.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034115-95343.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034115-26023.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034113-30131.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034115-18342.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034107-32707.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034108-54986.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034108-41818.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034108-42997.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034108-66894.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034108-71632.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034109-87329.gif)
A.22 | B.21 | C.20 | D.19 |
已知数列
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034051-31133.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034051-61898.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034052-98596.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034052-61937.gif)
(1)若
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034052-38951.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034052-53972.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034052-58036.gif)
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034053-88636.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034051-31133.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034053-65630.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034053-69164.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034053-63937.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034053-32011.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034054-84780.gif)
求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034054-67108.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191013/20191013034054-12904.gif)
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