名校
解题方法
1 . 已知一块直角梯形状铁皮
,其中![](https://staticzujuan.xkw.com/quesimg/Upload/formula/810ee7bc82b6f452afb3fc18691abc3b.png)
,现欲截取一块以
为一底的梯形铁皮
,点
分别在
上,记梯形
的面积为
,剩余部分的面积为
,则
的最小值是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/810ee7bc82b6f452afb3fc18691abc3b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86ba3f5391136efa04c00479b70a10b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32c05247f6998d7a70d31d13be4148c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cea77ba313fcc751481ac1ca214df3fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b32c05247f6998d7a70d31d13be4148c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ad5a9147b25285124851a61c7d1a24a.png)
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名校
解题方法
2 . 已知定义在
上的函数
满足:
是偶函数且
在
上单调递增,若
,
,则实数
的取值范围为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1fe17821ea81c6fec60bd5273901bd50.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03db4ea1dcb63b22cf4e917df5db581e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/503a002dd51f5338c4bc0e15fb201c3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37f6a8ef49c20d9d3f6dc1dd6a526993.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-11-19更新
|
345次组卷
|
3卷引用:福建省福州市仓山区福建师大附中2023-2024学年高一上学期期中数学试题
名校
解题方法
3 . 已知指数函数
(
且
)在其定义域内单调递增.设函数
,当
时,函数
恒成立,则x的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d894b0a2edbe018fd3578a37b1ead047.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32b447cf39cab4a304a236ac23d88713.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/700aa260b897caf06b0a8341f2178a5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85187c85826beeca12137805293fff77.png)
您最近一年使用:0次
2023-11-19更新
|
599次组卷
|
4卷引用:广东省深圳市福田区深圳市高级中学2023-2024学年高一上学期期中数学试题
广东省深圳市福田区深圳市高级中学2023-2024学年高一上学期期中数学试题(已下线)4.2.1指数函数的概念+4.2.2指数函数的图象和性质【第三课】河南省鹤壁市高中2023-2024学年高一上学期第三次段考数学试题河南省南阳市社旗县第一高级中学2024届高三上学期1月月考数学试题
名校
解题方法
4 . 如图,已知
为等边三角形,点 G是
的重心.过点G的直线l与线段AB交于点D,与线段 AC交于点
设
,
,且
设
的周长为
,
的周长为
,设
,记
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea7ef4a3da53511ce0ef1b55b28b990b.png)
__________ ,
的值域为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e28ce60503fab70ce1797449d90dadc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63b83647557c93d7f7e9ceee524601a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2694abaac969cf6ce51a009a679fe300.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee843b8908f021e14f112b87e4e48d61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a25c28359f8d8da9eaf4672a6cf8ae4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7936359df4c926b72b48c6fdae55f12d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b76f79be89b8c6227b68eded6b675546.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89a911a7aae28cca3434079307fb5ae8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6d5cc439e1e4a8922491a7bbad68494.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea7ef4a3da53511ce0ef1b55b28b990b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2709ca478fb15ea08e8aa55328eae8e6.png)
![](https://img.xkw.com/dksih/QBM/2023/11/15/3368355709321216/3369163603230720/STEM/5b50e14d4b624d36bbb9af9537f22c48.png?resizew=159)
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名校
解题方法
5 . 设函数
,
,且函数
,
定义域均为
,记:①
;②
;③
;④
.
(1)若
,
满足条件④,则a的取值范围为______ .;
(2)若
,
恰满足条件①、条件②、条件③、条件④的一个,则a的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a89c8e007ed4ecb87d90f7176e48d88f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0c4473159277aed64ea96c4af087954.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cda591d3909af06eabf6b37c65bfe571.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf9093e67bb937df85711d3ab08fb0d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b5b017de7aec0711fef053f1a0197a3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11189f5ca49aad543dfda75290cc8c0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81e1339e7a8dc1b46b1358f87c82902a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
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名校
6 . 已知
,
,若存在
个实数
、
、
、
、
,使得
成立,且
的最大值为
,则
的取值范围为_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f383004d804f85645692422b2374b80b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0058caf0f8d28668fb03942f9cd6c1fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4557947641608d13744cf9087d5b64dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aec19b68e3add9d5bfcc6269a1855b87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/291c25fc6a69d6d0ccfb8d839b9b4462.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa5e9bd516f6282483b92cfe6074623.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36b4b067f668c00f72c0cc5498aa3874.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51cee6b8f4cb3a8f1b40132e8a2be59f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f8c4c029e552954bd493b49aeab82d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
7 . 已知函数
的定义域为
,满足
,且当
时,
,若对任意
,都有
,则
的最大值是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea2b880a6e4a2c31658e2b2d49875bd7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcac1e85463a3177f487d896b3d1d24c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09c7bba069a33fd4d8d2ac6449148da9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58640a13608e28bdba923ce9b0fc2f83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9aedaed9e0206fb13fff7c7136938ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2023-11-13更新
|
645次组卷
|
6卷引用:上海市建平中学2023-2024学年高一上学期期中数学试题
上海市建平中学2023-2024学年高一上学期期中数学试题安徽省合肥市第一中学2023-2024学年高一上学期期中联考数学试题安徽省合肥市合肥一中2023-2024学年高一上学期期中数学试题(已下线)5.2.2 函数的单调性-数学同步精品课堂(沪教版2020必修第一册)(已下线)专题14函数的基本性质-【倍速学习法】(沪教版2020必修第一册)四川省雅安市名山中学2023-2024学年高一上学期12月月考数学试题
8 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c84496f87abcf6d9c51c25391d6f55d7.png)
,
,给出下列四个结论:
①函数
在区间
上单调递减;
②函数
的最大值是
;
③若关于
的方程
有且只有一个实数解,则
的最小值为
;
④若对于任意实数a,b,不等式
都成立,则
的取值范围是
.
其中所有正确结论的序号是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c84496f87abcf6d9c51c25391d6f55d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcd9218a657b17654c5d757a6f7dee9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ba56d22e9f7803b5545f91e1e0c2a62.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccfdd3d02b54e997cbec983d80f6bafd.png)
②函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
③若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c0008d46dc238d710a1efe7e2c17237.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
④若对于任意实数a,b,不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0dec45d8c4760288f233275bdfcae96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19094cbb9d60021934728b1d3daf8a9b.png)
其中所有正确结论的序号是
您最近一年使用:0次
名校
解题方法
9 . 设函数
,存在最大值,则
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d36a37e53ecef8c11fef696ed753063.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-11-12更新
|
637次组卷
|
5卷引用:浙江省温州市乐清中学2023-2024学年高一上学期期中数学试题
浙江省温州市乐清中学2023-2024学年高一上学期期中数学试题浙江省浙南名校联盟2023-2024学年高一上学期期中联考数学试题江西省抚州市资溪县第一中学2023-2024学年高一上学期期中调研数学试题(已下线)江西省南昌市第二中学2023-2024学年高一上学期第二次月考数学试题江西省南昌市第二中学2023-2024学年高一上学期12月月考数学试题
解题方法
10 . 已知不等式
对任意的
恒成立,则实数
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71e6c6485fc491fa7a5329d616d60acd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次