1 . 设命题
实数
满足
,其中
;命题
:实数
满足
.
(1)当
时,若命题
和命题
都是真命题,求实数
的取值范围;
(2)若
是
的充分不必要条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6048ff0be99a96698fc535d887840f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de46aa3509b4582523937ff4fe0218de.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
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解题方法
2 . 已知函数
且
的图象过点
.
(1)求不等式
的解集;
(2)已知
,若存在
,使得不等式
对任意
恒成立,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12291a5bb418dbfdc6e31c5ffc26acea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fa1476cf3552b9ae91ef039b1c6c80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94ac87c1bd6a7938e64651ac58d051bc.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d4204cf940be2b578a056a7854db2a2.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7905fd422e78a1d22ff6f11950bc5cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbeda12757923af6302d15fe252b5681.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cc7b8e63ed05e5bc3a00281b86720cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a0b1eb807465b9f7fe538d444703ee1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-02-29更新
|
393次组卷
|
4卷引用:河南省部分学校2023-2024学年高一上学期期末大联考数学试题
解题方法
3 . 已知函数
.
(1)求不等式
的解集;
(2)若对于
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aeafd95bddad3cc3148adc5481c989fa.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
(2)若对于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22e799c1971ec9b387e94d04fad4230e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-02-17更新
|
440次组卷
|
3卷引用:河南省商丘市2023-2024学年高一上学期期末考试数学试题(B版)
4 . 已知函数
,
.
(1)解不等式
;
(2)若对任意的
,存在
,使得
,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/896dcd460ed3143bd1e6dd94a960ed19.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/672342e1b8d06b252559e107ec1ff720.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea0a2a1ebc67f3f8cf87d6ddc4285168.png)
(2)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71f985718530cae9003dd401c044ef3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d8d908773b59dd4e5056341faa2a962.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f3bb43da17137e6c50874a8086df278.png)
您最近一年使用:0次
名校
解题方法
5 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bc80dbbe84c6eaf2310fc863c86532c.png)
(1)解关于x的不等式:
;
(2)若
(
),求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bc80dbbe84c6eaf2310fc863c86532c.png)
(1)解关于x的不等式:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c2e0bb6d63b7bcaee92a470d58cc399.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aba934874cc9f2ab272fdff67ea23bf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2958030ec9d7543dda1f529593a915e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce460941cf3ff54ccb6aec5085689a91.png)
您最近一年使用:0次
2024-01-24更新
|
390次组卷
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3卷引用:河南省新乡市封丘县第一中学2023-2024学年高一下学期开学考试数学试题
解题方法
6 . 已知函数
且
.
(1)若
,函数
,求
的定义域;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/147b8ee2c8555bcad18dd4d7ab3eb3eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65397f11ea8af736f38debadf420c4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4633de9335d15d7685bdecb007a3678c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46be55c8f2760d6db125f46691a3de48.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b56f3ad6403abcd1e0acf5fd69edaa06.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2024-01-24更新
|
421次组卷
|
7卷引用:河南省新乡市2023-2024学年高一上学期期末测试数学试题
23-24高一上·陕西榆林·期末
名校
解题方法
7 . 已知函数
为偶函数.
(1)求实数
的值;
(2)解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5cc8bfe0cd6f4ce7da4489e04a41371.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/117516c23bb50dd896aa7103a5554202.png)
您最近一年使用:0次
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解题方法
8 . 已知函数
(
且
),
.
(1)求使
成立的
的值;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72e349f49908801a73999320f7a49820.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/3704b4e99a44bd00103c74acce6921f1.png)
(1)求使
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1975919f32db444566577c88dd5bc0ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/393bf26438986e1a0cc2b9f88028d1bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-01-18更新
|
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3卷引用:河南省南阳市方城县第一高级中学2023-2024学年高一上学期期末模拟预测数学试题
名校
解题方法
9 . 已知函数
.
(1)当
时,求不等式
的解集;
(2)若方程
只有一个解,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd4194bed79a863407d9355b1f9c477c.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddea382d8bece5514a9cbd6a225667e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/881cc36bf316d72c99b079a491661403.png)
(2)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0105b95730592d199e9055a4fc73dbf1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
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解题方法
10 . 已知函数
,且
.
(1)解不等式
;
(2)设不等式
的解集为集合
,若对任意
,存在
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc01bfef9579122887181a4fa8eb43a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c012344e12698a7d964186eb9e24b380.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d752d8db8a05b3ec7312f6ac8b64a07.png)
(2)设不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d752d8db8a05b3ec7312f6ac8b64a07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fa273c6bf06db59f93c900e6bf8eb55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a49684ba67f71171321586f1a77ad4a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8740294d8fdf22bc9d2ad526a6b9acb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2024-01-06更新
|
773次组卷
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8卷引用:河南省新高中创新联盟TOP二十名校2023-2024学年高一上学期1月调研考试数学试题
河南省新高中创新联盟TOP二十名校2023-2024学年高一上学期1月调研考试数学试题江西省上饶市广丰贞白中学2024届高三上学期1月考试数学试题(已下线)第14题 对数不等 单调优先(已下线)专题04 指数函数与对数函数4-2024年高一数学寒假作业单元合订本江西省部分学校2023-2024学年高一上学期1月期末教学质量检测数学试题安徽省阜阳市2023-2024学年高一上学期期末联考数学试卷广东省茂名市高州市第一中学2023-2024学年高一下学期开学考试数学试题辽宁省本溪市第一中学2023-2024学年高一下学期寒假验收考试数学试题