名校
解题方法
1 . 设函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe2ab5c4e0e536807a39ed9a85acf0c3.png)
(1)若不等式
的解集为
,求
的值;
(2)若
,且
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe2ab5c4e0e536807a39ed9a85acf0c3.png)
(1)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b666663ce3537a634a3b427b418eb62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27cf818dd484cc4cebd40a5f28eb8e9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d87cd4403487962c38c8707ba3ab3fa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57e1cda660d1176d8c93210d038cb0fc.png)
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2023-07-16更新
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4卷引用:新疆维吾尔自治区普通高中2022-2023学年高二7月学业水平考试数学试题
名校
2 . (1)设
,
,求证:
;
(2)已知
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1a66b19a1bc76f5d1b9a9c43b1656e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be97cd1c7111b654d87d8fbb63b6a84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2129e8ec4f374ae282fb9785461a64c7.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09568754a8422dd90e9cb040b4c70544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f352f97803f55b21c0dd569caa4956f9.png)
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2021-09-08更新
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2卷引用:新疆皮山县高级中学2020-2021学年高二5月月考数学(文)试题
名校
解题方法
3 . 证明下列不等式:
(1)
;
(2)
(
).
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/734f585f8cfc92522f6daf997ebec04d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/840ab5202c0dd51fb0d9aa14a500fd45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3eb9b6fe8959ae9e71e857b6d6fed49.png)
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2022-04-01更新
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2卷引用:新疆伊犁州新源县2021-2022学年高二下学期期末考试数学(文)试题
名校
4 . 《几何原本》卷 2 的几何代数法(以几何方法研究代数问题)成了后世西方数学家处理问题的重要依据,通过这一原理,很多的代数的公理或定理都能够通过图形实现证明,也称之为无字证明.现有如图所示图形,点
在半圆
上,点
在直径
上,且
,设
,
,则该图形可以完成的无字证明为( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/31/e3d1e861-b551-4db3-a401-8d9559541a89.png?resizew=143)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ebef5bab02280cdc99cc7f689135cd4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a3d296e0d7154a170cb7d3ae42989b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4a88b719166fcc1431f876bc8c5656c.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/31/e3d1e861-b551-4db3-a401-8d9559541a89.png?resizew=143)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2022-01-02更新
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4卷引用:新疆喀什第六中学2021-2022学年高二12月月考数学试题
新疆喀什第六中学2021-2022学年高二12月月考数学试题四川省成都外国语学校2019-2020学年高一下学期期中考试数学(理)试题四川省成都外国语学校2019-2020学年高一下学期期中考试数学(文)试题(已下线)专题2.4 基本不等式-重难点题型检测-2022-2023学年高一数学举一反三系列(人教A版2019必修第一册)
解题方法
5 . (1)已知a,b,c是不全相等的正数,求证:![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de16c4a38c88173267431891e9e73db4.png)
(2)已知
,且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de16c4a38c88173267431891e9e73db4.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be97cd1c7111b654d87d8fbb63b6a84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30f1662916329f5ae29b055f9760a1b2.png)
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名校
6 . 已知定义在
上的函数
,且
恒成立
(1)求实数
的值;
(2)若
,且
,求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74b5070ce370431d6701e17eaaee0d66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4d0cd47609b9d1865dfff4979161cf5.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98f0784ce7148d8fed3dee5c508eae05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0538b39e703cc71355da6cfc5faea4e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b9d61d98c3d75e65b45f98b9f41da38.png)
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2019-09-12更新
|
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5卷引用:新疆新源县第二中学2019-2020学年高二下学期期末考试数学(文)试题