名校
解题方法
1 . 已知
均为正实数,且满足
.
(1)求
的最小值;
(2)求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/385a639c53a7a1168e703621f0bc7a71.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b8581efe011a9daffa9d3e48a3814ab.png)
(2)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb547e76f38d767adfb5125f4b56d82e.png)
您最近一年使用:0次
2024-05-08更新
|
566次组卷
|
3卷引用:四川省成都锦江区嘉祥外国语高级中学2024届高三第二次诊断性考试理科数学试题
名校
2 . 已知
,则“
成立”是“
成立”的______ 条件.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb63478132d4c1fef3c17e591919da83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dc4662298a4d0c25c2c7f7e01ab873fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/091dceca183c4c0f709c274e41d8e274.png)
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3 . 求关于x的不等式的解集:
(1)已知集合
,则求集合P;
(2)设数轴上点A与实数3对应,点B与实数x对应,已知线段AB的中点到原点的距离不大于5,求x的取值范围.
(1)已知集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32cde9476fe8509f06a9de1a303b03bb.png)
(2)设数轴上点A与实数3对应,点B与实数x对应,已知线段AB的中点到原点的距离不大于5,求x的取值范围.
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解题方法
4 . 已知
且
.
(1)若
,设
,比较
和
的大小;
(2)若
,求
的最小值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f95dc1d6e605dfbe05b38f19685df87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33ecda7bfb0a2043306bf7707a136ad0.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9eae9ba258299eb489b490594397e23c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f330fbbd672ffc482a77a5cbae0ad76f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e10e1c43b86a8cd4360ca9b57232164.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b23789f5aa1e63e9b40077fc09b8741.png)
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名校
解题方法
5 . 能说明“若
,则
”为假命题的一组
的值依次为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
___________ ; ![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb54b1b3617ebc502cb44194cbcd1dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/490ef0026e53c689960cc92802036bda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ccd4162c7d09f970cb77cadacdbe521.png)
您最近一年使用:0次
2024-03-12更新
|
55次组卷
|
2卷引用:北京市第五十中学分校2023-2024学年高一上学期期中练习试卷
6 . 已知
,则
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/210bd436958916bc2a848c46365af767.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/765b4dea4f6db129680d2f7658d5d171.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
7 . 已知
为实数,则下列命题成立的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
A.若![]() ![]() |
B.若![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() |
您最近一年使用:0次
名校
解题方法
8 . 已知函数
,且不等式
的解集为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d846fd8aa11cfd66a948218fc49cdd9e.png)
(1)求
的值;
(2)设函数
,若不等式
对任意
且
恒成立,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6d0d8546284558d2c168e52086cee37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b3449a8a558267c2a1baab2acc6a37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d846fd8aa11cfd66a948218fc49cdd9e.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)设函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e2825e22f98e16bb5899141881d75b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff00b3c0cbf6fac434a83e667971f5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40e72f6b2ef3329828cb8fc873eeba7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0baedc4d7e690ab3f7d80d30ba0a9efe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
您最近一年使用:0次
名校
9 . 已知
,
,则
的取值范围是________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f82df4fd90b9200d23f380f4c1519fe9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96a90bc05ca5be4b1fffc9d2d7eab970.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/869038b9db23bc6cfcf558faa5a39c64.png)
您最近一年使用:0次
2024-02-04更新
|
257次组卷
|
2卷引用:贵州省黔东南苗族侗族自治州锦屏中学2023-2024学年高一上学期期中考试数学试题
解题方法
10 . 关于
的不等式
的解集为
,则实数
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29710e94d40693e53c28a9fb2f9a9990.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7da3a6d011679952771607b3a166676b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次