名校
解题方法
1 . 已知a,
,试比较
与
的大小,并证明.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19339e3904e9541ff26b30ae5f1242b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b088a739322bb548eaab80a1356b51cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d89b07015d69f835f80567f23a0ad4c.png)
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名校
2 . 求下列关于x的不等式或不等式组的解集.
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c9552c814744708381d7f1381273795.png)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8301bdd2bd0d88a27cbe953705ca99cc.png)
(3)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c9552c814744708381d7f1381273795.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8301bdd2bd0d88a27cbe953705ca99cc.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3df92243fe43320abec3cd0f4a2a2c30.png)
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名校
3 . 求下列关于
的不等式的解集:
(1)
;
(2)
(其中
常数,
);
(3)
(其中
常数,
).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0432f4e2161f2d82b8afbcccb799f8db.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ace91dbe03f5345e737b36ec262d344.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/085f0aa35d8f86b5e4fd152bc6b123e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22dd8b3dc4c609bab82d356a5cc2208d.png)
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4 . 已知
,求
的最小值及取得最小值时相应的
值
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/865d7b5e7044c62667e82080d1552056.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
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5 . 求下列不等式的解集
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/392ad3a85cb00d53e536959687a7c7a0.png)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3d8a600e7b6a10eeb9f96c3462cf35e.png)
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d042515ff69a42c9cbcacfdf96251c.png)
(4)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/392ad3a85cb00d53e536959687a7c7a0.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3d8a600e7b6a10eeb9f96c3462cf35e.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d042515ff69a42c9cbcacfdf96251c.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf1e54788475ada391af43b0643784eb.png)
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名校
6 . 解下列关于
的不等式:
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f90af9ba1a3d2362ecba6775e1d0030.png)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb8d102771553eb5225ad4642b402bf5.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f90af9ba1a3d2362ecba6775e1d0030.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb8d102771553eb5225ad4642b402bf5.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85b9c5013ad61d07ee719d4201517ae7.png)
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名校
7 . 已知
,求证
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f9a08d1833e21bc30650cc8e470f3f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78a0aa068c979c53361d049ce49987a8.png)
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2022-10-09更新
|
421次组卷
|
5卷引用:北京市育才学校2022-2023学年高一上学期9月月考数学试题
北京市育才学校2022-2023学年高一上学期9月月考数学试题北京市育才学校2023-2024学年高一上学期10月月考数学试题北京市第一六一中学回龙观学校2023-2024学年高一上学期10月月考数学试题(已下线)2.1 等式性质与不等式性质精讲-【题型分类归纳】(已下线)3.1 不等式的基本性质(5大题型)-【题型分类归纳】(苏教版2019必修第一册)
8 . 某制造商要制造一种体积为
立方厘米的圆柱体金属饮料罐(包含上下盖),设该圆柱体的高为h(单位:厘米),底面半径为r(单位:厘米).当底面半径r为多少厘米时,每个金属饮料罐所用的材料最少.(提示:圆柱体的体积
)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5336762254e4560fa5bef6330b8eaeef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7f66ce12a6d736791becead9c4733cb.png)
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解题方法
9 . 已知正实数
满足
,求
,的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99bc8f020e80837253d72aa58cc6ede0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ac91af7b4b67d918b7c40f28807398f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfcb7eaf03a27a7425edaa4cc9fa9405.png)
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解题方法
10 . 求函数
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/226bf8292d5258bb91079d5e5e91a3c6.png)
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