名校
1 . 已知
,
.
(1)解关于x的不等式
;
(2)若
是方程
的两个实数根,且
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ef2eb4185432994d8037ef5b05a6009a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10bbdef421c976962a270a2beabbad91.png)
(1)解关于x的不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/018857ec6e498113b3b12a730d9313da.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ce7ae90d808f05e86ea063238e4b2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ffbd6d46c75b7454cc1259ed8d818ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b921b1d9cbc9bad8cc999e13e747517f.png)
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解题方法
2 . 已知函数
.
(1)若关于
的不等式
的解集为
,求
的解集;
(2)若
,解不等式
的解集.
(3)若
,对于
,
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19939baec6e2051a8cab2bc02474a876.png)
(1)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/768302bab7e43d9b5adce43cbfa777bd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f37dc17b27d96913fab0552928a9fef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebadf71a3c73c1d82ae821018a7f67c0.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebadf71a3c73c1d82ae821018a7f67c0.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/413a1c16b39e71acf061e7658b5429cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7dbd0607f887e482b89e9c2122496e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
您最近一年使用:0次
名校
3 . 已知集合
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb80ae52c549e41f9128006ddb56a15b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e60375f97ff7854f4d3a8b1108d2e3.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-06-11更新
|
581次组卷
|
2卷引用:江苏省无锡市辅仁高级中学2024届高三下学期高考前适应性练习数学试题
名校
解题方法
4 . 设函数
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc8f3fb58748fc489ef16b5ed4d45808.png)
(1)当
时,判断
的奇偶性,并说明理由;
(2)当
时,若对任意的
,均有
成立,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9f28b48f9ee7f155ca60e022e8c78d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc8f3fb58748fc489ef16b5ed4d45808.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b550ee821ee1838384835e81fc34b67.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e1d3c880f30beda2ebf604976dc159c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a09fcc7732fd7eac9a392b5e4cab0331.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a180d480ee4f68609f4bf7d068e4316.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51442bf0ef97e173588b54ee77db26b5.png)
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名校
解题方法
5 . 已知函数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00df8e9dda6f89d7c16c02d8dacf7461.png)
(1)当
时,求该函数的值域;
(2)若
对于
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00df8e9dda6f89d7c16c02d8dacf7461.png)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b66ef59c3970f3581a5ea29e21fd564d.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bd303ea196ae03b9c08459ad1f2f30b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/829f3fc2a6b50f762c8378283b56023f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
名校
解题方法
6 . 若
是假命题,则实数
的取值范围为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b3e7b30eb82cb815e05720268f7d5bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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名校
解题方法
7 . 解关于
的不等式
.(只需结果,不需过程)
可因式分解为_____________________ .
当_________________ 时,解集为_____________________ ;
当_________________ 时,解集为_____________________ ;
当_________________ 时,解集为_____________________ ;
当_________________ 时,解集为_____________________ ;
当_________________ 时,解集为_____________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72ffbac75dc3443857f7b626c6aa2c33.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/510ce4b3a2844e8defbeda04ebf33e42.png)
当
当
当
当
当
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8 . 若关于x的不等式
恰好有4个整数解,则实数
的范围为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f90747a23ee60b274849edfc6a776048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
您最近一年使用:0次
名校
解题方法
9 . 已知函数
是二次函数,且满足
,
.
(1)求函数
的解析式;
(2)若对任意的
,不等式
恒成立,求
的最大值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/46305fedfb17a208a8b4cab7ebceddfc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9461ff31fddd49e2275b88b9d3cf4222.png)
(1)求函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc4f4ad0751fe0f91c12a4c775dfca23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a90fb5a4da9ac8e75972f0861fef8a6.png)
您最近一年使用:0次
名校
解题方法
10 . 已知函数
,
.
(1)若
在区间
上最大值为2,求实数
的值;
(2)当
时,求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50811577addeba74fb0b3f3c050b9e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2340ec5bbefadfcd6b1f4e92710aa004.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5432187d1c042787433b7633292d00fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/05fce924911d5ed93147dfce9e41c2b0.png)
您最近一年使用:0次
2024-03-07更新
|
244次组卷
|
2卷引用:江苏省无锡市第一中学2023-2024学年高一上学期期末数学试卷(艺术班)