解题方法
1 . 设函数
,若当
时,存在实数
,使得
,则
的值为_______ .若
存在最大值,则实数
的最小值为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09050703ad9eb86cc2211f4400939208.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab839d8569171afab5ed55c22013aa72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c51d3fb60fdba2bc8bd0811fcabfa3fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/42ab7e411be07fd295951b36afa60c0e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
2 . 已知函数
,若
,则实数a的取值范围是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6b242491e70937ac643d9d128754c51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6fa3db8a4ad6975fed21f9d5203c5261.png)
您最近一年使用:0次
2023-03-25更新
|
1341次组卷
|
7卷引用:北京市清华大学附属中学望京学校2023-2024学年高一上学期期中考试数学试题
解题方法
3 . 已知函数
,则下列命题正确的有______ .(写出所有正确命题的编号)
①对于任意
,
,都有
成立;
②对于任意
,
,且
,都有
成立
③对于任意
,
,且
,都有
成立;
④存在实数
,使得对于任意实数
,都有
成立.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/246de316aacce5e2a1b482840ff02f82.png)
①对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1bf60c5e8996d138198fe74f30ce520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4e9b0e8693d64d9a59287e4802c535a.png)
②对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1bf60c5e8996d138198fe74f30ce520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a1ead3649f31edf06d49f015dd7ece3.png)
③对于任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1bf60c5e8996d138198fe74f30ce520.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33bd24e647a626899a243a3f3984f90a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deb572cf70a40f65fb90f3e93cdc439b.png)
④存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef96e6e80e958f6ae218594d4aa2f8b9.png)
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名校
解题方法
4 . 已知函数
为奇函数,且
,当
时,
,给出下列四个结论:
①
图像关于
对称
②
图像关于直线
对称
③![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddd85fcee7c0642f086a190b93843b71.png)
④
在区间
单调递减
其中所有正确结论的序号是_______
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2b8d9335baf572cc19d765fa8b46e43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5844ce5362b357c9e9fe85573f0b730.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1376168658dbe7f5b7f4d75fb1db545a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d51c96b8afba1002180361c35e5a132a.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccc8350b12974ffc8d06fce36d158f02.png)
②
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddd85fcee7c0642f086a190b93843b71.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8c3802e2bb46771120285a11c03bd54.png)
其中所有正确结论的序号是
您最近一年使用:0次
2022-01-24更新
|
1126次组卷
|
3卷引用:北京市门头沟区2022届高三上学期期末调研数学试题
5 . 能够说明“若
在
上是单调函数,则
的值域为
”为假命题的一个函数是___ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
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2019-02-12更新
|
227次组卷
|
2卷引用:【区级联考】北京市房山区2019届高三上学期期末考试数学理试题
6 . 若一系列函数的解析式和值域相同,但定义域不相同,则称这些函数为“同族函数”,例如函数
,
与函数
,
即为“同族函数”,给出下面四个函数:①
;②
;③
;④
.其中能够被用来构造“同族函数”的是__________ .(写出所有符合条件的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53224898de85a85058ad336490bbbaa7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/344ccbf79da6ad7e3709d6fa72efb756.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85a11b8a2fc710d26c89953d4d3a4eee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36cf7675fc49cbdf3611ac547d85c8f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6c3555086d468d12a94ef81b7e7297a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84e881f34fb1fff84838eafb0642ed80.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2702a5539ca829b8b7a08407f0996e8a.png)
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7 . 对于函数
定义域中任意
,
有如下结论:
(
)
;
(
)
;
(
)
;
(
)
.
其中正确结论的序号是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99eaeb2ab68a49074d623ffca072fed8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c814128ea2139e33db94ea590e7c2223.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85a93969738a9bb969f40cf587f1d5d5.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdaa19de263700a15fcf213d64a8cd57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/656f0b5d3194a8cfef50f8823547ff1e.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7708640b13e4a01faeaf9e33b50d4a9b.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/698cf53f76a1d637dfe2732d0a866eec.png)
(
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8860d9787671b53b1ab68b3d526f5ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deb572cf70a40f65fb90f3e93cdc439b.png)
其中正确结论的序号是
您最近一年使用:0次
2018-09-05更新
|
978次组卷
|
5卷引用:北京市石景山九中2017-2018学年高一上学期期中考试数学试题
北京市石景山九中2017-2018学年高一上学期期中考试数学试题广东省广州市培正中学2017-2018学年高一上学期10月段考数学试题(已下线)2019年一轮复习讲练测【新课标版文】专题2.6 指数与指数函数(练)(已下线)第3课时 课中 指数函数的图象和性质(已下线)第2课时 课中 指数函数的图象和性质(完成)
名校
解题方法
8 . 已知函数
,且实数
满足
,则实数
的取值范围是__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f6f0bccebc8047e287c5870bcbe9152.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/347f1aec152be70497d09b8638d45fcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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