名校
解题方法
1 . 设
,
,
,则
的大小关系为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb3e2274288267aa73ddb003b040962c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4e08b5af66e6e93886a7472cf8b7a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9490c299f7753b55d7885ba9bcace0eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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名校
解题方法
2 . 已知定义在
上的函数
关于
对称,且
关于点
对称.当
时,
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a43b2faa4f81f32d94612dce724e772b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b384412acba251d87902ab928902f16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e356a6e54a669fda721085096c8416db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcac1e85463a3177f487d896b3d1d24c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2560cf974cde02ebbd97f02e2b5a7411.png)
A.函数![]() |
B.函数![]() ![]() |
C.![]() |
D.当![]() ![]() ![]() |
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名校
3 . 定义运算“&”如下:
,且
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7bc12ec0e7672f994abb9dec68bd9565.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fae56530fb36c35829812cb4ef00ffd.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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名校
解题方法
4 . 已知
(
且
)是指数函数.
(1)求关于x的不等式
的解集;
(2)函数
在区间
上的值域.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/443f79de69ddf3a3e9871366804aadd5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
(1)求关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9af3805f722964d881a001cc5936b5fb.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f4b026104086da528964fa6c9d56ded.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02a43ded43fac49796bcc2142670802c.png)
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名校
解题方法
5 . 若非空集合A与B,存在对应关系f,使A中的每一个元素a,B中总有唯一的元素b与它对应,则称这种对应为从A到B的映射,记作f:A→B.
设集合
,
(
,
),且
.设有序四元数集合
且
,
.对于给定的集合B,定义映射f:P→Q,记为
,按映射f,若
(
),则
;若
(
),则
.记
.
(1)若
,
,写出Y,并求
;
(2)若
,
,求所有
的总和;
(3)对于给定的
,记
,求所有
的总和(用含m的式子表示).
设集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f471707062efa20856b51c22e6f84dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21baa8bc435ec6b2c9b67877171a3173.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/361386446d504a14471b9fd89130f1c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78e2cf3c6d97e637b06bc3f173e2294b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caf22d7d1a965bda25168a233fb6290c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e2cab9bca9269b6a450c4b52f0557ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32cb04516f1b2735ce3f3b4650dd44d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab9dd64d5d8d3e0da1bd6a1821735620.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/804359bfe1c504ea7c4fef24f816c1ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64a050b856ea45102abeca042f7fa51c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e951e5ed59afb9cbca7ba7b3f57d637.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/454dd532a75670c2c5fe340e7cf6394e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66803407d09e203ad26667f83d13cb73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e951e5ed59afb9cbca7ba7b3f57d637.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/65882cdf1d004742addf809d8b9085cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e3e85ec77053cebbd8b2f6f6300ac66.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/024b3cc2f0b74a8e3b34bae24fa44707.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab44704e5aa4ff926a58cebdcc4dad99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1eb6e559b36bbfab633520897b7c9d8.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3334356ffb98a848fe7a027437e8fbcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab44704e5aa4ff926a58cebdcc4dad99.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1eb6e559b36bbfab633520897b7c9d8.png)
(3)对于给定的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f278ad5460e4a89bea4068beabb8df15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a31ccd147dd0dd022bd2e605d2b0f7fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1eb6e559b36bbfab633520897b7c9d8.png)
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2024-04-08更新
|
584次组卷
|
2卷引用:重庆市乌江新高考协作体2023-2024学年高一下学期第二阶段性学业质量联合调研抽测(5月)数学试题
名校
解题方法
6 . 函数
对任意的实数a,b,都有
,且当
时,
.
(1)求
的值;
(2)求证:
是R上的增函数;
(3)解关于实数x的不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba5b5f09650569f1846f451c09585728.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2180e18416d40abb243bd23984e7aba.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e38fffbc7ab9882480f4faa72390e23.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(3)解关于实数x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b6706a0de427b238c481d4bb5fcc692.png)
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名校
解题方法
7 . 已知函数,若对任意
都有
,则实数a的取值范围是( )
A.![]() | B.![]() | C.![]() | D.![]() |
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8 . 已知,且方程
无实数根,下列命题正确的是( )
A.方程![]() |
B.若![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() |
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9 . 设函数
的定义域为
,满足
,且当
时,
.若对任意
,都有
,则m的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/704eed612a90f7369fdec07a5ecdb686.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d0f4e311edd359f2885c46f6e5752e23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74ad8f7a67af3d197d74c6b47a1d67ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9135161292cd899936b2972d90fde8d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cc83237d8c18e4745d112ffaf70fbb8.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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10 . 已知集合
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78ea013074ec92be8b463a7d85ee9121.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb436bbcbd23e79f3429d0a4d769c13b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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