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1 . 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 |
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名校
2 . 我国著名数学家华罗庚曾说:“数缺形时少直观,形缺数时难入微,数形结合百般好,隔裂分家万事休.”在数学的学习和研究中,常用函数的图象来研究函数的性质,已知函数
的部分图象如图所示.则
的解析式可能是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/20/17580c85-b43f-44d5-82dd-0d6708a5acd2.png?resizew=172)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/20/17580c85-b43f-44d5-82dd-0d6708a5acd2.png?resizew=172)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2023-11-22更新
|
650次组卷
|
4卷引用:天津市五区重点校联考2023-2024学年高三上学期期中考试数学试题
天津市五区重点校联考2023-2024学年高三上学期期中考试数学试题福建省厦门第六中学2023-2024学年高一上学期1月月考数学试题青海省西宁市2024届高三上学期期末联考数学(理)试题(已下线)热点2-3 函数的图象及零点问题(8题型+满分技巧+限时检测)
名校
3 . 已知函数
是定义域在
上的奇函数.
(1)求实数
的值;
(2)判断函数
的单调性并证明;
(3)若对任意的
,不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88900edcbb1e193ffc4ee5954bf24565.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72be8aa75ea0206f296c54f2ded8a1b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed7ec4782f8989c67cc2dae8fab7bd36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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2023-11-21更新
|
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4卷引用:天津市第一百中学、咸水沽第一中学2023-2024学年高一上学期期中联考数学试题
名校
解题方法
4 . 已知函数
,满足对任意的实数
,都有
成立,则实数
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96d269ddee89b64173bafbd0e24cc64f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/717a1efcded39ade5c5e98eeb21013e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2023-11-21更新
|
576次组卷
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3卷引用:天津市第一百中学、咸水沽第一中学2023-2024学年高一上学期期中联考数学试题
解题方法
5 . 设函数
若
,且
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6519f19f62269ccb49c7e840dab6468.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc0af419f4bc6f089e3304a477589d38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2684b72f9f38f5046c8ecd4280b7b14b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce460941cf3ff54ccb6aec5085689a91.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
6 . 函数
,集合
.
(1)求函数
的定义域
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5fdbc4a4c665cab2d3285339c36b6d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b072a6e93dd175e18c417f46ee9fea29.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61094ca172e46e09ee8697a007c89f3a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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名校
7 . 已知奇函数
在R上是增函数,
.若
,
,
,则a,b,c的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c532b5af7b88f1c21a7584cfac5fea6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1a066813a8e5005cad45bcfa9377628.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b57626b9f4f12188fb8b04803391afc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65944bbab245ca79e3aa0c669ba20e54.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
8 . 函数
是定义在R上的奇函数,下列说法:
①
;
②若
在
上有最小值1,则
在
上有最大值
;
③若
在
上为增函数,则
在
上为减函数;
④若
时,
,则
时,
.
其中正确说法的个数是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01bea8bf593f594c51fc7cc547482bee.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad2edd8edcb21bd41584daf9bb95a5c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acbc6a613224461ade69362d46550474.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d562dc22dfb3b81d0c3f88b54d063c2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad2edd8edcb21bd41584daf9bb95a5c7.png)
④若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/becd598a11b876d858728161a7a09705.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/787c2e85b77a019736904b284d6e8017.png)
其中正确说法的个数是( )
A.1个 | B.2个 | C.3个 | D.4个 |
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9 . 已知函数
的图象关于直线
对称,当
且
时,
恒成立,设
,
,
,则
的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3391c61f5b569c58f0ad76588ddab39c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d8b1c9aa45f5adbc1cfea566e2d9fb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2054560796ab052c5db91d50698cfdd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/541d20a456d47fe4fb27c509d3158ac3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c91129052699d43eaedd7c993d6ef6c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bba1e7a657ed134e68efd159b606620f.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
10 . 设函数
(
且
)是定义域为R的奇函数.
(1)求
及k的值;
(2)若
,试判断函数单调性(不需证明)并求不等式
的解集;
(3)若
,设
,且
在
上的最小值为
,求m的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5bda9e69bcf53e0821f3388b56eae7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e38fffbc7ab9882480f4faa72390e23.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04d8742c296a7949b598114a34c51f69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ee892008628f72b90f5a37d45d7ec4b.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56fbec93189276445b83c6df4e9f4866.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b7b6896225389f109ead55e87897181.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1938c093dd2fbcb752d0eb7a18d143b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed6d804ef44bfc64f824b0ccef71765e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
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