名校
解题方法
1 . 已知
,若
恒成立,则实数
的取值范围___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29e883609bb0d93e4aa55289589a88d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c98dff981b36edecafc1b7fd0c07bacb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2021-09-16更新
|
1231次组卷
|
4卷引用:河北正定中学2021届高三上学期第四次半月考数学试题
名校
解题方法
2 . 已知函数
,则关于
的不等式
的解集为___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15cf390ae3cbec09fc211ffa347dc7a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea74ca4a5fe5f62d9d086ad89727b1f8.png)
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2020-05-09更新
|
1117次组卷
|
4卷引用:河南省九师商周联盟2019-2020学年高一12月联考数学试题
名校
3 . 已知函数
,若
,则
的取值范围是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e376c842a2c9d28900db4c9e3751c8b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ed5093d2715cfd0274c966c29fd1dda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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4 . 已知
表示不超过
的最大整数,如
,
,
.令
,
,则下列说法正确的是__________ .
①
是偶函数
②
是周期函数
③方程
有4个根
④
的值域为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fab6009ffb15a88bd843a1c2b8d7770.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91a5576725ed5aab23ccf609a0439ed7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9d38a4f28e1d02c0129c2dbdb40d319.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/80714bbea1a946b7d51a83975d3e1ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a68e4768aea82c834d48062e562389a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4db663f5503804d3482f82c090dd51ec.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
③方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f79779c9eb6ba0d2dc8a2c236b9f096.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be1ce3f01e2b6364f9a9fdaf197d5e29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1924f683f9c883587b48ccddd8f00f99.png)
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名校
5 . 已知函数
,
,其最大值与最小值分别为
和
,则
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ef9fa0bfeba2b9d793cc19d0269be88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/679c9edadb198dae2983e88f9ee58beb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0484e78c959195390eb58a07b1d7946.png)
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6 . 函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3c988d875438535244ee2b092a779b.png)
的最大值与最小值的和为__________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd3c988d875438535244ee2b092a779b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8fdf91c07ffa67c0f9dfb241541cb9e.png)
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11-12高三上·甘肃兰州·阶段练习
7 . 关于函数
(
R)的如下结论:
①
是奇函数; ②函数
的值域为(-2,2);
③若
,则一定有
; ④函数
在R上有三个零点.
其中正确结论的序号有 .(请将你认为正确的结论的序号都填上)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26540b7fe28e6a10c2f52c6bed3310ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e44c45ef0334070fc149b452dee26ae5.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360880b267f405ee5900bcbda6c9576b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5e426b4873e854107c88134b14dfb64.png)
其中正确结论的序号有 .(请将你认为正确的结论的序号都填上)
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10-11高三上·江苏南京·期中
8 . 对于函数
,下列结论正确的是 .
①![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffa087c1e661019fbec0eef9c5f2424b.png)
②
使得方程
有两个不等的实数解;
③
使得函数
在R上有三个零点;
④
若
,则
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69e999854d5a53dd452409da3f718c18.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffa087c1e661019fbec0eef9c5f2424b.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/317f8b79b1e37f44b7c6fbb557b02b78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8eb2e46f49adba6036e2624639a1b966.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e355a9dece3bbe27e4ad5b35e18b1567.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab6b28c29a9e823cf1d6c764323d7e15.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/daa6b79379306d076bc20888425f16dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/360880b267f405ee5900bcbda6c9576b.png)
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