名校
解题方法
1 . 已知函数
.
(1)求不等式
的解集;
(2)设函数
的最小值为
,若
且
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/113eff4fc6357344d826ff081714339d.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3a075dce77c9a6b964a8a3fc1ee6e8c.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd517c952785f1b4a87a0ff47260e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/711d33dca588abbd3e2bead7ec99a384.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/576e3d63873b53cc17f79139e674308b.png)
您最近一年使用:0次
2024-02-05更新
|
847次组卷
|
7卷引用:四川省成都市第七中学2024届高三下学期入学考试数学(文)试题
2024·全国·模拟预测
名校
解题方法
2 . 已知函数
的最小值为
.
(1)求
的值;
(2)若
,
且
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3e090b6e9772e67f536771c022a777c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](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/ca27cc54ca0332245f5167488daa3408.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94b68c0d49e3cd6109fa6511cd4b48b7.png)
您最近一年使用:0次
名校
解题方法
3 . 已知函数
.
(1)当
时,求不等式
的解集;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d9ec0892e9e2028c29b5f3bb8e7e29e.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e94f16d5ed858699bfea5039a7bf8ae6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71e3b4e02955066041a5b67549295c15.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/063fedf6f69b46cf9a69cad4a2812b88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-09-11更新
|
196次组卷
|
2卷引用:四川省成都市蓉城联盟2023-2024学年高三上学期入学联考文科数学试题
解题方法
4 . 已知
.
(1)当
时,求不等式
的解集;
(2)若对任意
,不等式
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d687c3f020c9b7d95066be2b45657ba.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e258ab9e600435b37465092243d99f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79d5a0e25aebe1cc182d2247ed344652.png)
(2)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab87accf1942ab80def96d12ef173163.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46810b49fe55d60aaf8dd596f7cec20f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-08-31更新
|
182次组卷
|
4卷引用:四川省巴中市2023-2024学年高三上学期“零诊”考试数学试题(文科)
5 . 已知正实数
、
、
、
.
(1)证明:
,并确定取等条件.
(2)证明:
,并确定取等条件.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c02bc0c74292b1e8f395f90935d3174.png)
(1)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4412956c389f11bc0552df20ae481bbc.png)
(2)证明:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/443ee9ff09e42d3f9feee049abdee5bc.png)
您最近一年使用:0次
2023-08-25更新
|
129次组卷
|
2卷引用:四川省成都市第七中学(高新校区)2024届高三上学期入学考试数学(理科)试题
名校
解题方法
6 . 已知函数
,
.
(1)求函数
的最小值;
(2)设
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a483b28b0a51697e711e832a5ca3d00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0bc6775d59e23a45d1c4357d5ffe228.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cfcc567b95a320abcb25509923cd001.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76acc9d0f0f0f6befbb9d9a64c497d2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef791a5215dfbde16dea9499dda72a53.png)
您最近一年使用:0次
2023-07-27更新
|
302次组卷
|
8卷引用:四川省成都市树德中学2023-2024学年高三上学期开学考试文科数学试题
名校
解题方法
7 . 设
.
(1)解不等式
;
(2)已知实数x、y、z满足
,且
的最大值是1,求a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c8513986191381fede238a02bc1595b.png)
(1)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d24227741bf427e6bd73490baf3c3d6.png)
(2)已知实数x、y、z满足
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76252e677a0adff49cb31f374356aa3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1433c8103033c67232f2f9ae189608d.png)
您最近一年使用:0次
2023-07-22更新
|
266次组卷
|
2卷引用:四川省成都市石室阳安中学2023-2024学年高三上学期开学考试数学(理)试题
名校
解题方法
8 . 已知
.
(1)求
的最小值M;
(2)关于
的不等式
有解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63cc99e8c7a8b7dbc126ee293c2ef552.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bc2818de1c0d7d347718672b0bcec32.png)
(2)关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e896972777fcab95f9f210ffbb067c87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-05-20更新
|
565次组卷
|
8卷引用:四川省成都市第七中学2024届高三上学期入学考试文科数学试题
名校
解题方法
9 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/facd6be947e37552dfa0565d1f21e380.png)
(1)求不等式
的解集;
(2)若函数
的最小值为m,且正数a,b,c满足
,求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/facd6be947e37552dfa0565d1f21e380.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75c4e334b99b21af5a068a1e63a07d85.png)
(2)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8da83effa5528058c00457626a6cef5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d86be2de99fbf7f99cd54ab399146b00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e0d9f33012c8ebd91f2d6941af2d824.png)
您最近一年使用:0次
2023-05-13更新
|
412次组卷
|
6卷引用:四川省泸县第一中学2023-2024学年高三上学期开学考试数学(文)试题
名校
10 . 已知函数
,且不等式
的解集为
.
(1)求实数
的值;
(2)若正实数
满足
,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f801537b719b259b82a01eb4eb6f63d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0abe4960954bb3144b7e86d4233e747.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f6ad85072c47fbb57fb296d4096322c.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/280860dd039e1305a5ccc455f63e8223.png)
(2)若正实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3539640e5344567a1071b64751cecc8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0edcfb51711d1e003a869e03be35942f.png)
您最近一年使用:0次
2023-05-09更新
|
859次组卷
|
6卷引用:四川省兴文第二中学校2023-2024学年高三上学期开学考试理科数学试题