名校
1 . 已知集合
,
,若
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f20286438324375659c671c26fa1cfdb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/924972ab1392e09a7ba76c8c6d5f3125.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46a70d32c64918aa4d1d9d3ce0bdbf7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/edff1881635893293dd411ead8194aca.png)
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真题
解题方法
2 . 已知
,
,且
是奇函数,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f8066c2d6115e3ede16f0bfa2f42f4d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24a57996290794e082b21d8f1dfc322a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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3 . 已知
则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72253d846d8750db2bf695df99c53f3e.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56382fc7587c5570de7131665ff113b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72253d846d8750db2bf695df99c53f3e.png)
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解题方法
4 . 已知函数
为奇函数,当
时,
,当
时,
的表达式为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c6b7b66e2c1f08682f3d7615e80295e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e2e79843faf62dde86bf858d1e0569.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/918746bef9a7a63c2abad4a3ec6df97c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e541ea2f855f981c96207070683d388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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解题方法
5 . 已知函数
,其中
.若关于x的方程
恰有四个不同的实数根,则该方程所有实数根之和的取值范围是_______________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c7028a5fa4d781d382ca3b73b74796e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90c47efa8231090fc09a5884a3107ea5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/baf9b29edeea2257cdd19dabd24c529e.png)
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6 . 数集
,
,
,若
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fd1847cae62189ef22fe7d512200705.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e65038fdcf3ffb162a15b4d0dab65dc9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33506b43f2d07e9b003a6b21c631a38d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3cc020b0997a2f37b214718112b79d8e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2317480af8719266bb92ee59d6b2c3b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c97ee473c0a6e3d9158a7b8cbc1171d.png)
A.![]() | B.![]() | C.![]() | D.A,![]() ![]() |
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名校
7 . 若函数
(
且
)的图象恒过定点
,则
的坐标是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99df5018f2f2d4a670bde38f9c1cbc1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
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2023高一上·上海·专题练习
解题方法
8 . 解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60f8cd6cfe2ec2fc39992c4280ac7fb4.png)
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2023高一上·上海·专题练习
解题方法
9 . 解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0c3403a1c209ee923ee695abf10e3e1.png)
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名校
10 . 集合
是由
个正整数组成的集合,如果任意去掉其中一个元素
之后,剩余的所有元素组成的集合都能分为两个交集为空的集合,且这两个集合的所有元素之和相等,就称集合
为“可分集合”.
(1)判断集合
、
是否为“可分集合”(不用说明理由);
(2)求证:五个元素的集合
一定不是“可分集合”;
(3)若集合
是“可分集合”,证明
是奇数.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3a3f24673b6e954db3a8b229d8c4564.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eecf4b08032eee10b91a418ec091773b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c4392f75c09edaec2e70c9eccb2b85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(1)判断集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36cd2052417ccb1650cc533f62273aab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38aa0ba6ea6e8f10a2159defda4e67f8.png)
(2)求证:五个元素的集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1752a1d13ec6a233405fce4d5af61d8f.png)
(3)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ea7fcdb5423c1c8c032a3efcf245682.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
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