名校
解题方法
1 . 已知
,
.
(1)若
,求
的取值;
(2)若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ffabf0dbdeb8518fe6fad342b9f0a7e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c64b59e12792d6b2654cc8a4a77e213.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e43d049930577cc9a7e0db5803daf2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd9d50619b779c1056602f46b2a95e90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
名校
2 . 已知集合
,
.
(1)若
,求实数
的取值;
(2)当
,且
时,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af0d80bc1dc4fb9c04d25368bc8dab88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9a739d9d29191fa9d1efb4618751e1b.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2ad78dc8b8aed907b4fe9640c997454.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632244ea6931507f8656e1cc3437d392.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3320a13248a3a1208ff6ee85c9d26f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdbbe46a98a8fdebfc46fcbc45dc88e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
2021-10-16更新
|
978次组卷
|
8卷引用:广东省广州市培英中学2023-2024学年高一上学期10月月考数学试题
名校
解题方法
3 . 已知不等式
的解集为
或
,集合
,
(1)求实数
,
的值;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c08d73f977753194e240f220f124e16a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/944f2e34bac486689b2e30445a2df228.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ac3e627026a67df982843808f5115d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcd95f6da6e20172b41cef9d1eb71238.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
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2023-12-17更新
|
367次组卷
|
3卷引用:广东省佛山市H7教育共同体2023-2024学年高一上学期第二次联考数学试题
名校
解题方法
4 . 已知集合
,不等式
的解集为
.
(1)当
时,求
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/305dfff0b39558061cc139cf804f3466.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a77cdb8806a697e8e5480fad9c380baa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a35cb1ca80751bbad5cd2b1b67950a12.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04ceb1f338fa60976229d7ec6531b626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2023-10-22更新
|
462次组卷
|
2卷引用:广东省广州市天河中学2023-2024学年高一上学期基础考试数学试题
名校
解题方法
5 . 定义一种新的集合运算
且
.若集合
,
.
(1)求集合M;
(2)设不等式
的解集为P,若
是
的充分条件,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fdc825bb9828fe408ad5a30e65d46ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b998f1e3675e0fa3b790c416a751af63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/605068ffcff010dc98245aabc482ef43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a632557f76ab3a3d5e3f3e92236d674.png)
(1)求集合M;
(2)设不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd43a521b94ed88e07960302568daae7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/320a7c616f6f7207a0a38bb707ac2205.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acfc595518cf752e1c7903dfff93dbda.png)
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解题方法
6 . 已知不等式
的解集为
,集合
,集合
.
(1)求b和c的值:
(2)若
,求实数m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfb56d9418f1a3cb2baa6b0c862010ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e90e4491b77c3dbba0e71329cd596e30.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd6b96a278e2d40ef6fabe9b27b66f8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20c2e68b4094a31c81d9ef86b4e38f67.png)
(1)求b和c的值:
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b05d2be27e8f53e4de3071846dffb41.png)
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名校
解题方法
7 . 已知集合
,试从以下两个条件中任选一个补充在上面的问题中,并完成解答.
①函数
的定义域为集合
;②不等式
的解集为
.
注:如果选择多个条件分别解答,按第一个解答计分.
(1)当
时,求
,
;
(2)若
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa6053b07cd2f3a4cd87cc0e1568474c.png)
①函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/787ec58a971dc0ab6265773e6c873366.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a77cdb8806a697e8e5480fad9c380baa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
注:如果选择多个条件分别解答,按第一个解答计分.
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3744e71abf4b43e128eabea9181b712.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfb17a2a90cd479b604258d1258e9636.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04ceb1f338fa60976229d7ec6531b626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2023-09-27更新
|
69次组卷
|
2卷引用:广东省汕头市潮阳区河溪中学2023-2024学年高一上学期期中数学试题
8 . 定义一种新的集合运算
且
.若集合
,
.
(1)求集合M;
(2)设不等式
的解集为P,若
是
的充分条件,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64728253724138a62ac0009d6e286c0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09bb7c317f907cd7fda5ae49b24f2d41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3530b9ac69019714b0d5c6e6ee888c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dde1535fe87eec15c25996ec0709bf2b.png)
(1)求集合M;
(2)设不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f91b29762bb18325bb6174d299fdb865.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/320a7c616f6f7207a0a38bb707ac2205.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acfc595518cf752e1c7903dfff93dbda.png)
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名校
9 . 符号[x]表示不大于x的最大整数(x
R),例如:[1.3]=1,[2]=2,[-1.2]=-2.
(1)已知[x]=2,[x]=-2,分别求两方程的解集M、N;
(2)设方程[|x-1|]=3的解集为A,集合
,若
,求k的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a02d44492b51b0e08208fdc0d1707025.png)
(1)已知[x]=2,[x]=-2,分别求两方程的解集M、N;
(2)设方程[|x-1|]=3的解集为A,集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b15b9356484f0fd38cec684c723c6c79.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d7f14bf7f60fe19b509223284455f05.png)
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2022-10-28更新
|
179次组卷
|
2卷引用:广东省广州市二中2023-2024学年高一上学期10月月考数学试题
名校
10 . 已知函数
的定义域为集合
,关于
的不等式
的解集为
.
(1)当
时,求
;
(2)若
是
的充分条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/183605113183eb92043ab253e80e26d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/292c0f43668e17ddccc92c50a2cf9ffd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a964b99d839b459f7f14af1d512edcf4.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e8723f62855096c7012bd3f724167e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2022-09-29更新
|
393次组卷
|
2卷引用:广东省珠海市斗门区第一中学2023-2024学年高一上学期阶段性(11月)考试数学试卷