名校
1 . 已知实数
满足
,给出下列不等式:①
;②
;③
;④
;⑤
;其中必定成立的不等式是__________ (请填写你认为正确的所有不等式的编号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7e91bf434f28e4b539fcb96344f729d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/169f16799989570bdf81c1798ac9392f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9911539b53f97a3dca374796355b622.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/34a8228209e23be85caca1f209c9ea60.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ecfe44d471fced88e16214afff4e16b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/befa0d5176f91789927ca94920b0344c.png)
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2 . 下列命题中为真命题的是________ .(填写序号)
①若
,则
;②若
,则
;③若
且
,则
;④若
且
.则
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c22b9d08cf536bbb76bce1b0f135772.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca24341509c05e672999202f2df0ebaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c2ca67148f90890830b769c6a92c0be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a0c4c098615c6bc7e6dcf72e5b5201a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f75807858b7804a1ad2039c41f323a18.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7859a7c3904dc2985f4776fa63f9fea0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/432d77fe5ad3032d59a237dd94c8a638.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec8201ff29a2091d40eee10db6bbc1f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94ed37ee7432002cd0e0978b2012e184.png)
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2021-11-10更新
|
126次组卷
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2卷引用:福建省福州市鼓山中学2023-2024学年高一上学期12月适应性训练数学试题
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解题方法
3 . 比较大小![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28f723466e973079cd0b6167918c1ca4.png)
________
(用>或<填写).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28f723466e973079cd0b6167918c1ca4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4289f5dbfe7198f1403585965fc1fa6.png)
您最近一年使用:0次
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4 . 实数
,且
,则下列不等式正确的是______ .(仅填写正确不等式的序号)
①
;②
;③
;④
;⑤
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76f0649064a085fb74c997fb507a9b6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca24341509c05e672999202f2df0ebaf.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cb54b1b3617ebc502cb44194cbcd1dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0cee165c7a747253e69ab1a6e6a7076.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ca37933cf74f93e7748dfd060b12127.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fa4b46e83d1879329257896c3795c42.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48940098c4fad7f31422563c3ef44675.png)
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2020-08-31更新
|
297次组卷
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5卷引用:陕西省西安市雁塔区第二中学2023-2024学年高一上学期第一阶段检测数学试题
陕西省西安市雁塔区第二中学2023-2024学年高一上学期第一阶段检测数学试题天津市天津中学2023-2024学年高一上学期第一次月考数学试题湖北省武汉市华师一附中2019-2020学年高一下学期期中数学试题青海省海东市第二中学2019-2020学年高一下学期期中考试数学试题(已下线)第2章 一元二次函数、方程与不等式(二)-2020-2021学年高一数学必修第一册单元提优卷(人教A版(2019))
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5 . 给定下列命题:
;
;
;
;
.其中错误的命题是______
填写相应序号
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/871b79d04683c88f3fbe4b9b46b1b5c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36fde76091abe7b21ed5890990c2ad72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d23ab72882d70f32c92bb351e3e2b1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a63fdbf65d88cec81df4449fc9b98642.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c2ba0209305ec0dce17e384195b7369.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd995178601c2ad7b40f973d268c7bb7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04582116cd765fcc5a52f44279ad6c94.png)
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2019-12-18更新
|
443次组卷
|
4卷引用:吉林省长春市第七中学2020-2021学年高一上学期第一次月考数学试题
吉林省长春市第七中学2020-2021学年高一上学期第一次月考数学试题天津市静海区瀛海学校2020-2021学年高一上学期11月月考数学试题天津市静海区四校2019-2020学年高一上学期11月联考数学试题(已下线)2.1等式性质与不等式性质-【新教材】人教A版(2019)高中数学必修第一册限时作业
2023·全国·模拟预测
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6 . 已知函数
.
(1)画出
的图像,并直接写出
的值域;
(2)若不等式
恒成立,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30db98fe551616759903e7d00b688c50.png)
(1)画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1490a63ab582698e2b10a59a4e8348d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
解题方法
7 . 已知函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/29/9f21cd86-1a52-4877-a800-b699f4e092a2.png?resizew=233)
(1)画出
的图象;
(2)求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0786c73ff352a423d6a75393b7876029.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/1/29/9f21cd86-1a52-4877-a800-b699f4e092a2.png?resizew=233)
(1)画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c9e31fa6b435ef513c9be86c7583cd4.png)
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2023-01-13更新
|
158次组卷
|
4卷引用:云南省楚雄州2022届高三上学期期末教育学业质量监测数学(文)试题
8 . 已知函数
,
.
(1)当a=2时画出函数
的图象,并求出其值域;
(2)若
恒成立,求a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5165f6ec1894dc2f5421e6cb59bc95d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6cb7bf17b1117057a25e29115b504ea9.png)
(1)当a=2时画出函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43920f5171ed31db2520ef00e4c5fc24.png)
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2023-01-15更新
|
158次组卷
|
2卷引用:2022-2023学年高三上学期一轮复习联考(五)理科数学试题(全国卷)
9 . 设函数
.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/22/0d919244-906d-4c63-be88-bc2d9ee54c2f.png?resizew=200)
(1)画出
的图象;
(2)求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2744488e4b53031e3a57200e9c15785a.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/22/0d919244-906d-4c63-be88-bc2d9ee54c2f.png?resizew=200)
(1)画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
(2)求不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7468f570e41451a147f727b2b84ae1c9.png)
您最近一年使用:0次
名校
10 . 已知函数
,
.
![](https://img.xkw.com/dksih/QBM/2022/4/15/2958801674084352/2960124753125376/STEM/ce4c482e-f8da-4732-b856-4bb2ba30de2f.png?resizew=337)
(1)在给出的坐标系中画出
和
的图象;
(2)若
恒成立,求实数
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e32fe6eea89758fe843a869976d08fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4343355685d9f682200f13e9d50755dc.png)
![](https://img.xkw.com/dksih/QBM/2022/4/15/2958801674084352/2960124753125376/STEM/ce4c482e-f8da-4732-b856-4bb2ba30de2f.png?resizew=337)
(1)在给出的坐标系中画出
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2611b565b7b59630fdd46ad820573221.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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2022-04-17更新
|
273次组卷
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2卷引用:安徽省鼎尖联盟2022届高三下学期4月联考理科数学试题