1 . 用分析法证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14c19d94ff48082c1cd213c82c99abf0.png)
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2021-10-10更新
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214次组卷
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2卷引用:新疆阜康市第一中学2020-2021学年高二下学期期中考试数学(文)试题
2 . (1)设x>0,y>0,且x+y=1,求证
.
(2)已知a>0,b>0,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/128294be1f10b83df30ad60d4c696224.png)
(2)已知a>0,b>0,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8f3bf714dcba0fcc8483f0fa0f3d64f.png)
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解题方法
3 . (1)当
时,求证:
;
(2)已知 a,b,c是互不相等的正实数,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0935b0d5568370418871fa7a6c47162d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36d8c989061fa3712dd8d77ec300443e.png)
(2)已知 a,b,c是互不相等的正实数,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/983641d3f9989defc90191fc21f244a2.png)
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2021-09-08更新
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88次组卷
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2卷引用:陕西省渭南市尚德中学2020-2021学年高二下学期第二次质量检测文科数学试题
4 . (1)用分析法证明;
;
(2)用反证法证明:三个数中
,至少有一个大于或等于
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ceed227c026ff8d94237c63ace92cf78.png)
(2)用反证法证明:三个数中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2e6a8e3f3ac3af2452dad7ad1e37a4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cf3f23bfec394769b4670962b219999.png)
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解题方法
5 . (1)用综合法证明:
;
(2)若
且
,用分析法证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/099f01fae3e972ca8973834f51fe1489.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2584d4e78881413d8ddd1ec84011db2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91a871ef7bf13de3e15489d65b57a3cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e952a9dd5173a03d651db38fdcf6512.png)
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6 . 已知
都是正数,且
成等比数列,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98c986e2fa317d42d770c5c114609e65.png)
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7 . 欲证
成立,只需证( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de75df97690357fda14d110f37db70d9.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() |
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2021-08-15更新
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107次组卷
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2卷引用:安徽省宣城六校2020-2021学年高二下学期期中文科数学试题
8 . 已知函数
.
(1)证明:
仅有一个零点,且该零点为负数.
(2)判断
,
的大小,并证明你的结论.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85fbde4d1d77324c6755b6898c363803.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b90da5f9f40bcd8c26d4ffb64824439.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b0c79b85a9494414257356025bc4993.png)
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2021-08-12更新
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158次组卷
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3卷引用:河南省新乡市2020-2021学年高二下学期期中考试数学(文)试卷
9 . (1)已知
,
,用分析法证明:
;
(2)已知
,
,
,用反证法证明证:
,
,
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8f3bf714dcba0fcc8483f0fa0f3d64f.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12e7ef804eeb23618fbf91ead47587f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caefa8167a011d549cd51c614f7d7500.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73c21bd0bd90a89b7ff5ac0eacf612a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cec12441802f71e803efaf2c62ee588.png)
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10 . (1)设a、b是两个不相等的正数,若
,证明:
.
(2)已知
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f00f997ae12c30f551adb834e1d7ef8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5d2a320b9ff137ce3632296c4b1d79a.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b6c5526947e9bef051bc3bdf7fd186d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2b1411bbc505b5056e68e077d18e06b.png)
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