名校
1 . 函数
.
(1)若
的解集是
或
,求不等式
的解集;
(2)当
时,求关于
的不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0abfd04f8105daef57bf83758c4ae3d6.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2953a95e8901470ddac64b65c951b570.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5806497d3b5ec15d89eef8202d54d7a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59c9a9f2ada248b83f8d8e550c890444.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/364857865783986bb5272aac364b2b95.png)
您最近一年使用:0次
2024-01-24更新
|
247次组卷
|
2卷引用:天津市部分区2023-2024学年高一上学期期末练习数学试题
名校
2 . 已知函数
.
(1)若关于
的不等式
解集为
,求关于
的不等式
的解集;
(2)求关于
的不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b42b47fa7e2bc66fa1da79767cbcff9c.png)
(1)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e433d8cb4c0416cc82aac3b5d2bcdc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/773b2c9473cb275bed0c93061606e29f.png)
(2)求关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/535eefc390a168a27c00550044db034c.png)
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名校
3 . 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
4 . 已知a,b∈R,若
的最大值为m,且不等式
的解集为
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f165335687a1db6ba9930966268448b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33a1f86b4a5330727015867732ff6a0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a96023d0ca41b4d97965dac8b1fffbd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c972205b7d47a23c250f3234f487c845.png)
A.3 | B.43 | C.7 | D.11 |
您最近一年使用:0次
名校
5 . 已知关于
的不等式
.
(1)若不等式的解集是
,
(ⅰ)求
的值;
(ⅱ)求关于
的不等式
的解集.
(2)解关于
的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e42f8f84a31f60237b44e7eef98c6e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d164d8ec820adeb4e8603a0970cf118.png)
(1)若不等式的解集是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af523679dc9e5197789780cef640bc85.png)
(ⅰ)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4de32d2e6d715ac3a7a9e7f2950ab640.png)
(ⅱ)求关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/befd66e32185759453b81817b23db257.png)
(2)解关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e42f8f84a31f60237b44e7eef98c6e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d164d8ec820adeb4e8603a0970cf118.png)
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名校
解题方法
6 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c830818d342726379d43e947bfb0dbf.png)
(1)若
是二次函数,过点
,顶点坐标为
,求
解析式
(2)当
时,若函数
在
上为单调递增函数,求实数
的取值范围;
(3)若关于
的不等式
的解集为
,求不等式
的解集(所求解集要求用区间的形式来表示).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6c830818d342726379d43e947bfb0dbf.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/afa482d7bcaa385bfc3548b42a4bfb60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b69abe959988e4c8c0739f5857ccfb0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6a1182481cb21386d5ceeb70f41740f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/499a8449e8bb253065463c23f3ff5860.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0376e851b46f7ea41759fb56b877b0cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7450f0033ae9a03a687db98c0d76719.png)
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解题方法
7 . 设函数
,不等式
的解集为
,若存在
,
成立,则实数
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af6d816a0d049a59337193507f07fb33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8b788993791f235ee6df8ca37d2551a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6070f2ee5e48cce77eb4a2cb9f11ccfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03e3ee1abd077f750fa0932fb31265c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-10-20更新
|
561次组卷
|
2卷引用:天津市第一0二中学2023-2024学年高一上学期10月月考数学试题
8 . 若不等式
的解集是
,则不等式
的解集为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5f28031b036e4a37be931d5ff28368.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67fb11a5dc5060d8a57ad9fa942eb982.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66d2e0287acc0e45c6b443ab3de5787c.png)
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名校
9 . 已知不等式
的解集为
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a31a236a2101c170576f3c8f8e2edc1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81e12a49601927242c500e1e3b331112.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/892560dcff6af9f66a3f735652f69dd7.png)
您最近一年使用:0次
名校
10 . 若不等式
的解集为
,则不等式
的解集为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f41563598c0fd893422c087bb3bd31e6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c851951a833480d8a0ef3ad1ca751b9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a611e471b9c95621cea7cb6df44d2be9.png)
A.![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() |
您最近一年使用:0次