1 . 若集合
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c12fb338ab330097e0a475a949fd6fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5008888976c5b3f4720b31c1a0baa140.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4b9b470218359a4a47be9244980489e.png)
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2 . 计算题
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1334b6e3d54eb54993c416c4ad5028b2.png)
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f124e55051129f1b7e837ab77e543b14.png)
(3)解不等式
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1334b6e3d54eb54993c416c4ad5028b2.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f124e55051129f1b7e837ab77e543b14.png)
(3)解不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cd5a6cf2073dcef7a92a85f516a963d.png)
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解题方法
3 . 已知集合
,
,不等式
的解集为
.
(1)求
,
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21c2ac0e9e9b64be5fe4b21da9879305.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d6528f783cc91636be9eec7c459df41a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5c485aa0f953783d1c1399283aab4a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc5311539329992d5fe64741550d478.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e426a400cec64e11dc137c5780f53afa.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9d50619b779c1056602f46b2a95e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
4 . 设全集
,集合
,
,集合
.
(1)若
求
和
;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc0dc8098ad6f31bdd87771ca9cfa33a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11a791bca8679260b3245bd33b451fd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bf039c46a25e331446c6ee1e9af3c82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8fe8e2abf32963a16248d9ffb593b5a.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3100b7d03fb818096021a893c15bd8fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eda922978abb112ea099f28ff9ec1170.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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解题方法
5 . 已知函数
.
(1)若
,判断函数的奇偶性,并写出方程
的解集;
(2)若
,解不等式:
;
(3)若
,命题
,当
为真命题时,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9139c9bf68a42c935c274fdb0603795.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f22a4a0dd7307a1323d25331e60782d8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86b92b70365c63607daecdc8deb73ecf.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75cd77f611e2ddd612629875eb899e8e.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/642c63345e7e0af07eda1ea81f452df4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a77cd424e894934eb469afe02b9eaa1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
6 . 求下列关于x的不等式的解集.
(1)
;
(2)
;
(3)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7402ab8b675978ec98307c380693e6cd.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/221001d8870685f12c6831d1e89903cd.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca528e9aee0a4461cdcddd363bc9805.png)
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解题方法
7 . 设不等式
的解集为
,不等式
的解集为
,集合
.
(1)求
,
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11525023e3f47ce039e2b27bb8c95b51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e720d34ced3d82ad59f3c41e7137470.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85a9e9b6c6003a410bf4fb09c4398cf5.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39044392b77990910bf48d859b5cd7ef.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2bed4f3b7d72db3b022165360678e8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-11-04更新
|
281次组卷
|
3卷引用:北京市八一学校2023-2024学年高一上学期期中考试数学试题
名校
解题方法
8 . 已知全集
,
,
,
,在①
;②
;③
;这三个条件中任选一个补充到下列问题中并作答.
问题:设
:______,
:
,是否存在实数
,使得
是
的必要不充分条件?若实数
存在,求
的取值范围;若实数
不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/860ebb6f76cd3cb9a265dfc233002a13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5135a447b3320afef31aa63bf7f727b1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4510f854df1e130ba5390c248e88148a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce1790f847977e17a23b60efee4497be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cde2827722685b8a71f9aae2dc4d7484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/729cabf8892ddf618ddf0afeeca0a3c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39c7b532300e088e4beef3da6442d540.png)
问题:设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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9 . 已知关于x的不等式
的解集为
或
(其中实数
).
(1)求a、b的值;
(2)利用(1)问中的a、b值,解决下列两个问题:
①求关于x的不等式
的解集;
②若点
在第一象限内,并且在反比例函数
的图象上,求
的最小值以及取得最小值时的
、
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e70e14e4f546ed9884f6f237ef3a659c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06826211b92f123ae7838a72eeeba293.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d2212ca63a0f4cac1086319559aa388.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88e42953357fe79c16248ef4c79e6089.png)
(1)求a、b的值;
(2)利用(1)问中的a、b值,解决下列两个问题:
①求关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c114b655a2e84ed6732295240f3bd808.png)
②若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36e257b2b02bcd57c116841807979bbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36aeb6794451e8f43655b55df03779e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36ab9a3c714ffdc043e9e87eadee0b98.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
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名校
10 . “
”是“
”的( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0fde64f4d3c38e43fbdee24eadc4b0dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1a29b653287cc0d342b67d81a61f5b1.png)
A.充分非必要条件 | B.必要非充分条件 |
C.充要条件 | D.既非充分也非必要条件 |
您最近一年使用:0次
2023-09-07更新
|
690次组卷
|
4卷引用:北京交通大学附属中学2024届高三9月开学考数学试题