名校
解题方法
1 . 若函数
,且
,
;
(1)当
时,求不等式
的解集;
(2)已知函数
,
(i)求函数
的值域;
(ii)对于区间
上的任意三个实数
,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6e5ed0bc80cf27184c0eb672168cbd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13231f040ceaa51babf63f2802f1e247.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/104375baf5cef5eb92cfc7cf13b80193.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75bde2e500fd5386e355db9040a1946d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9652e30dad4d1ea51c10b229a10252d.png)
(2)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e15e3a9ac9d549de534cb5dcb4df4a00.png)
(i)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61c388166862b3ccfcc7ca749ebe5949.png)
(ii)对于区间
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/417ab20883d799aaf311371393fa7d7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05b8ec9d4206ea66a02de5c4a1e1e911.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed9f6a1fe5746a4c166b70441fb9f771.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
解题方法
2 . 已知二次函数
.
(1)若
的解集为
,解关于x的不等式
;
(2)若
,对于
,不等式
恒成立,求实数c的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1bd0587f5d6a3b5db9e4a93e0dbc0ef.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/da3da6b999bd84dfff12cde8deacae7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19a7a4a8ac33c7e0f223bb688cc9dc44.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa0629a3b19819c9e790466f3a70c670.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de6fba19c28abb2afd91b4b272ade53a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74c09185dfd5d53924c9e806fbbdf11b.png)
您最近一年使用:0次
名校
3 . 已知函数
.
(1)求不等式
的解集;
(2)函数
,若存在
,使得
成立,求实数
的取值范围;
(3)已知函数
在区间
单调递减.试判断
是否恒成立,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b1522396d9ddea1bb3b54dc9f4df4dc.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19af638390206a14da251a2d485efb98.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d351b199bdf658ba647c7c410294e6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45745b3b43bcc8c406bac90ce9bcf3d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e63bbadc6250f7139836ede33205550.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)已知函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17d676c13cd09b56e0edbb741cc77a01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5d6243e93c41978871cb23d8e66148d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94fdaafef6af34f4d5c95f3b398b642.png)
您最近一年使用:0次
2023-12-14更新
|
769次组卷
|
6卷引用:湖北省襄阳市第五中学2023-2024学年高一上学期12月月考数学试题
湖北省襄阳市第五中学2023-2024学年高一上学期12月月考数学试题(已下线)高一数学上学期阶段性考试(12月)-【巅峰课堂】期中期末复习讲练测广东省惠州市第一中学2023-2024学年高一上学期12月阶段考试数学试题湖北省恩施州巴东县第一高级中学2023-2024学年高二上学期第五次月考数学试题(已下线)高一数学期末考试模拟试卷1-【巅峰课堂】热点题型归纳与培优练安徽省宿州市泗县第一中学2023-2024学年高一下学期开学适应性训练数学试题
名校
4 . 已知关于
的不等式
的解集是
,则下列说法中正确的个数为( )
①关于
的不等式
的解集是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e43d10402ece3fe56a9ec5899357f4e0.png)
②
的最小值是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a391005600bdd69c96750589f9adb048.png)
③若
有解,则实数m的取值范围是
或![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17bda892497cea43df67db57b4e2a07a.png)
④当
时,
的值域是
,则
的取值范围是![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7242b2ab643f9470da77e29d043b893.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5f28031b036e4a37be931d5ff28368.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93e89f03984c63f438c5d8d44f768a3f.png)
①关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23e045220e5071c3a7adc357816db322.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e43d10402ece3fe56a9ec5899357f4e0.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3507dd5b819b8e80bdd344580ea831e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a391005600bdd69c96750589f9adb048.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2dc4ef827105ab4d0f46c62979819b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fa204d6b5183969f6da37f369eb7293d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17bda892497cea43df67db57b4e2a07a.png)
④当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6de1d395e6c48c0676a1488a299479d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4fe4269fe210492469ea88634ed3bbf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3527fb8e629dbd2389c186121d9314e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2aaeb1f8daaa2e6659b752992f8fc3d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7242b2ab643f9470da77e29d043b893.png)
A.1 | B.2 | C.3 | D.4 |
您最近一年使用:0次
名校
5 . 已知函数
,函数
.
(1)求不等式
的解集;
(2)如果对于任意
,都存在
,使得
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a18c676c5ef0a2291e17011c9af2848.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d044bb9bf8aac3bf00f903cddee13608.png)
(1)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b77be60d7a88911c49a1600d36488287.png)
(2)如果对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/309a5945d32b015fe77dd33909b70a61.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14ad9ae0d505effa2fd81a62b569e78f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/347ac85769012f89d1f9951684e1d7b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
6 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e241ad67832ef92e201241fbb4239d2.png)
(1)若
,写出函数
在
上的单调区间,并求
在
内的最小值;
(2)设关于对
的不等式
的解集为 A,且
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e241ad67832ef92e201241fbb4239d2.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d188ec2580e273ce87e51653a2177ee.png)
(2)设关于对
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e71da41961d96784f3ea7198b838a51b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45242b802854eb7fc3ed681c4acdbf58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-11-27更新
|
245次组卷
|
2卷引用:江苏省苏州中学校2023-2024学年高一上学期期中数学试卷
解题方法
7 . 已知函数
,函数
.
(1)若
,求不等式
的解集;
(2)求函数
在
上的最小值;
(3)若对任意
,均存在
,使得
成立,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46aedb86b4930d42db7f4afbc6931e9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af3d04c01e2b293c4e2ae46cc2a6096e.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc304a55feec5d8312d3082f1bb91a23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0879734ee766cb630cfeb3f25fea7d.png)
(2)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6dc64c9fc732c76bec3e691d7ddbbefe.png)
(3)若对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d656062e1c9b55eae53d3cee40d1af89.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4596f406a45c5062923167792c4349c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17d095844022a8ed5fefc23b24878d20.png)
您最近一年使用:0次
解题方法
8 . 已知函数
.
(1)若
的图象与x轴的两个交点分别为
,
,且
,求关于x的不等式
的解集;
(2)若存在
,使
,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7729bd0cd502a5133e2349f7646cc74.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9df2062940530232ab124a571e951ed.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb652143b43cc9439a347b2b1dc5cf6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0a855f87322a71a76f969753fd809cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b666663ce3537a634a3b427b418eb62.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd7d2bb9fd6de312a742ef10c81b9b1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b666663ce3537a634a3b427b418eb62.png)
您最近一年使用:0次
名校
9 . 已知函数 ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1f088d1005c95bb6e1b8dd4c151616.png)
(1)当
时,求方程
的解集;
(2)设
在
的最小值为
,求
的表达式;
(3)令
若
在
上是增函数,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b1f088d1005c95bb6e1b8dd4c151616.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d8b002680c476b8323c4b67e8bc999e.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9210e75c35fb455d0446eb7ddba7d79c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b3ae7e5228fd1acb0d46f6941143a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b3ae7e5228fd1acb0d46f6941143a7.png)
(3)令
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a040e579bed22012e8f3a2cdd3482645.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9210e75c35fb455d0446eb7ddba7d79c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2023-10-29更新
|
398次组卷
|
2卷引用:重庆市西南大学附属中学校2023-2024学年高一上学期拔尖强基联合定时检测(一)数学试题
解题方法
10 . 已知函数
且
.
(1)若
,求不等式
的解集;
(2)若存在
,使得不等式
对于任意的
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69c5dad340991112758226fd3b5dc1f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e30c903d8f8a05332af0b19e7e40df3.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb8e1dd8da540badcb9a8f427c5b202e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/256f3981024e53f373a80aad40e994ae.png)
(2)若存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77ea47220258260d54537f7b5b4be915.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cd73b03919e2cd703417b4c3c1fe281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/308c33e7a29c84cbad2252e44f6acb80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次