1 . 若数列
的前
项和
满足
.
(1)证明:数列
是等比数列;
(2)设
,记数列
的前
项和为
,证明:对任意的正整数
,都有
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83cf38189d5cbf627d2b82ac0eb76006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08eb71ecf8d733b6932f4680874dbbf3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88d60948fb65e86c170ede4c1cd9fc4f.png)
(1)证明:数列
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c895d4ce5ce82ef9b311b9369b4de11.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40220744c7ec0c805b9828a256cdfda3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5da72309d2507e2f5e5ed88d8cc08963.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1ae9a3b0b7aeb1545b65d91aa371b3c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9928e46511e601913619a427ded84a3.png)
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2023-10-26更新
|
2843次组卷
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7卷引用:黄金卷03
(已下线)黄金卷03(已下线)模块四 专题6 大题分类练(数列)基础夯实练(人教A)(已下线)第二篇 “搞定”解答题前3个 专题2 数列解答题【练】高三逆袭之路突破90分(已下线)黄金卷01上海市行知中学2024届高三上学期10月月考数学试题(已下线)2024年高三模拟押题卷02上海市浦东新区进才中学2024届高三上学期11月月考数学试题
2 . 已知函数
.
(1)判断函数
的单调性;
(2)已知函数
,其中
,若存在
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ec3d05907ba9fbd6fd72f34144c1d1d.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/470272f85d0a426c8ed621f785889f96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e34f42b3be15518c29e3689c9fe6d6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccfb4ecfcd09ce9d668607c2f209238c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5780eb4c477b3344c04f8b93237f6404.png)
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解题方法
3 . 如图,在直三棱柱
中,
,
,D为
的中点.
;
(2)若点
到平面
的距离为
,求平面
与平面
的夹角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42d3a82b8e587ee890467835bc4e854c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10d331850e91390d587ccddcb892f977.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c4559d27e3905980d1a4f1856f07de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1f229274a6e17977cc047814212589.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ed4b84d38a6c0916bc4ac92f011e8e.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7abd284f76d9f5769bc189508ce2572b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bef5239ddbb0972700ce01daf9ee7cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca67a5b8f69507c8b80379e86f90a8ce.png)
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2023-11-10更新
|
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|
5卷引用:黄金卷03