名校
解题方法
1 . 已知函数
是定义在R上的奇函数,且当
时,
.
(1)求
在R上的解析式;
(2)判断
的单调性,并解不等式
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/becd598a11b876d858728161a7a09705.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)判断
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e13946479f49d80b67eade8ab3759ae2.png)
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2024-01-25更新
|
808次组卷
|
3卷引用:海南省海口市琼山区海南中学2023-2024学年高一上学期1月期末数学试题
名校
解题方法
2 . 已知函数
是定义在R的奇函数,当
时,
.
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/f45c0d1a-cb19-4ff5-a946-235bca846105.png?resizew=243)
(1)请画出函数
图像并求
的解析式;
(2)
,对
,用
表示
,
中的最大者,记为
,写出函数
的解析式(不需要写解答过程),并求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/119e06d01d35c30f2166624271535bff.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/1/17/f45c0d1a-cb19-4ff5-a946-235bca846105.png?resizew=243)
(1)请画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74912a4bdbd89fb1d0b9fd10a1bc87b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a976d91358362fa49d6da8021fd47e2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c694cf892ee07daa54bdd9f2fb421e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d275fbb3ee5cd1177ca5a2ceecbbef0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/028517e8bebe634441e0a5c79828e88a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/316f701027f4bd38abca039b3499b498.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c694cf892ee07daa54bdd9f2fb421e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c694cf892ee07daa54bdd9f2fb421e2.png)
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3 . 求下列不等式的解集:
(1)
.
(2)
;
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4224ee0a054ddbe2214c34bb3ea75de.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfd93f846ba62080dbc0c04b2b67418b.png)
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名校
4 . 求下列不等式的解集
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1eb9574b53b3aa460d0ac42d54d01a5e.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/025c87e359c840b9268219769127ee37.png)
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名校
解题方法
5 . 设全集为
,集合
,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d04748ba401dc464eac29bc9339958.png)
(1)若a=1,求
;
(2)问题:已知_________,求实数a的取值范围.
从下面给出的两个条件中任选一个,补充在上面的问题中,并进行解答(请选出一种方案进行解答,若选择多个方案分别解答,则按第一个解答计分)
①
;②
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3ed15aa3dcc4211fb520b5b942c989.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/881717e4566c6d5ed162c2b846a8f49e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2d04748ba401dc464eac29bc9339958.png)
(1)若a=1,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cfb17a2a90cd479b604258d1258e9636.png)
(2)问题:已知_________,求实数a的取值范围.
从下面给出的两个条件中任选一个,补充在上面的问题中,并进行解答(请选出一种方案进行解答,若选择多个方案分别解答,则按第一个解答计分)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d7f14bf7f60fe19b509223284455f05.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dea9a4259cca10c1f5af28e621ebafd6.png)
您最近一年使用:0次
2023-10-13更新
|
95次组卷
|
3卷引用:海南省文昌中学、华迈实验中学2023-2024学年高一上学期期中段考数学试题
解题方法
6 . 已知集合
,
.
(1)若集合
,求此时实数
的值;
(2)若
,已知命题
,命题
,若
是
的充分条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d55c25f7abd39ff2b34ebf1784ac4cc8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63267bdc6206b7423edf292b7ddf5506.png)
(1)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbfabac8e355e96a1139cc505337b6bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be466586da8810ccfd811c59a747adb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12bfe9f9cb46771b219db1932e335053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b1a3fcc1e37cf582bf6cf8f457160d3.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)
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解题方法
7 . 解下列不等式
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a8902ec50e725e98ea7ca6623754f51.png)
(2)
;
(3)
;
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a8902ec50e725e98ea7ca6623754f51.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c3cfa3a4541930559edc90e4e6ed846.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72dddc387ec882b4d6e0e0ce3798f3eb.png)
您最近一年使用:0次
2023-02-19更新
|
180次组卷
|
2卷引用:海南省万宁市民族中学2021-2022学年高二上学期期中考试模拟数学试题
8 . 求下列不等式的解集:
(1)(x+1)(x-4)>0
(2)-x2+4x-4<0
(1)(x+1)(x-4)>0
(2)-x2+4x-4<0
您最近一年使用:0次
名校
9 . 某生猪养殖公司欲将一批猪肉用冷藏车从甲地运往相距120千米的乙地,运费为每小时60元,装卸费为1000元,猪肉在运输途中的损耗费(单位:元)是汽车平均速度
(千米/小时)的2倍.(运输总费用=运费+装卸费+损耗费)
(1)请写出运输总费用
关于
的函数;
(2)为使运输总费用不超过1260元,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(1)请写出运输总费用
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)为使运输总费用不超过1260元,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
名校
10 . 已知集合
,
.
(1)求
,
;
(2)若集合
,且
.求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31fa2dc4e8fa9445781ff2f96c965af0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f19a615861444982f2e79e63874aab9.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e36107591b80216ded064f86af687b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94b0cbfbb7f9547c3bdcc8356d456935.png)
(2)若集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/74749a4160641e18b20cf2e1201fd21b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c29cd450d0feaea9acb27a60430f4a3c.png)
您最近一年使用:0次
2022-11-13更新
|
82次组卷
|
2卷引用:海南华侨中学2022-2023学年高一上学期第一次段考(期中)数学试题