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1 . 设关于x的不等式
的解集为S,且
,
则实数a的范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba00fecb78dfb745a0d723d26123e2c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1ea9a804573617cb3e9414c9a74925b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a37e1e7f7463cb4f958a008323b13492.png)
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2 . 已知方程组
,问
在什么范围内取值时,方程组的解集:(1)只含有一个元素;(2)含有两个元素;(3)空集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1a2390db7eecb5c84b76bd2e26846eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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3 . 若关于
的不等式
的解集为
,
的解集为
.
(1)试求
和
;
(2)是否存在实数
,使得
?若存在,求
的范围;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/374d5551b9e7ca9734d0d13301d8001a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/702d9438cd5abb9efc10b661d8732882.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)试求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(2)是否存在实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95321d0e551daa25104d32157249c23d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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4 . 若关于x的不等式
的解集是
,则实数m的取值是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4575cd0117c84640f95b3f94d96f5505.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d0c071e335f27b3354bf6813f003482.png)
A.1 | B.-1 | C.1或-1 | D.0 |
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解题方法
5 . 下列命题中正确的是( )
A.已知函数![]() ![]() ![]() ![]() ![]() |
B.已知定义在![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
C.函数![]() ![]() ![]() ![]() ![]() |
D.函数![]() ![]() ![]() |
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解题方法
6 . 在①
;②
;③设
的面积为
,且
.这三个条件中任选一个,补充在下面的横线上.并加以解答.
在
中,角
,
,
的对边分别为
,
,
,且_____,
.
(1)若
,求
的面积;
(2)求
周长的范围
(3)若
为锐角三角形,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5bdd31043c300b09b096b518729cb7e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f707216c0d2cd7d2c7ec788cd67fce4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/301d953141af3ccb5538af3e6471ea55.png)
在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6129fbf40a950fc8c516f0abaab21957.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9be4380bdcef1c542604a6ad61642c0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd950ec83d93596468e3aff0bb91e0e9.png)
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2024-04-24更新
|
1222次组卷
|
4卷引用:江苏省无锡市江阴市两校联考2023-2024学年高一下学期4月期中考试数学试题
江苏省无锡市江阴市两校联考2023-2024学年高一下学期4月期中考试数学试题江苏高一专题05解三角形(第二部分)吉林省白山市抚松县第一中学2023-2024学年高一下学期5月期中考试数学试题(已下线)专题03 解三角形(2)-期末考点大串讲(苏教版(2019))
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解题方法
7 . 已知函数
.
(1)若函数
在
上是单调函数,求实数
的取值范围;
(2)当
,
时,不等式
恒成立,求实数
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3fb070d57645e54b21b76b97ebaf0da.png)
(1)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71c66152d3eeae2f5154a2eac94c3cfe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab839d8569171afab5ed55c22013aa72.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66f0ca536621ec8db02707ba65917029.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/592b16c3c8627a48fd5cad130955609b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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2020-08-20更新
|
601次组卷
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5卷引用:河北省邯郸市馆陶县第一中学2019-2020学年高一下学期期中数学试题
河北省邯郸市馆陶县第一中学2019-2020学年高一下学期期中数学试题(已下线)【南昌新东方】江西省南昌八中2020-2021学年高一上学期10月第一次月考数学试题安徽省滁州市定远中学2020-2021学年高一上学期第一次阶段检测数学试题江西省赣州市兴国县将军中学2021-2022学年高一上学期期中数学试题(已下线)第07讲 幂函数与二次函数-2021年新高考数学一轮专题复习(新高考专版)
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8 . 在平面直角坐标系
中,抛物线
与
轴交于点
,抛物线
的顶点为
,直线
.
(1)当
时,画出直线
和抛物线
,并直接写出直线
被抛物线
截得的线段长;
(2)随着
取值的变化,判断点
,
是否都在直线
上并说明理由;
(3)若直线
被抛物线
截得的线段长不小于2,结合函数的图象,直接写出
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d2292b9b81580718770d52fa7d9670e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1de14c98dff0e1fb25a27c92e3f35a0f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/5/1d269f71-365e-45f4-9193-fb01e02f6f94.png?resizew=203)
(1)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf0086b054ef120408acac806a1b1318.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
(2)随着
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
(3)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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9 . 已知集合A={x|x2﹣2x﹣3≤0},B={x|x2﹣2mx+m2﹣4≤0,x∈R,m∈R}.
(1)若A∪B=A,求实数m的取值;
(2)若A∩B={x|0≤x≤3},求实数m的值;
(3)若A⊆
,求实数m的取值范围.
(1)若A∪B=A,求实数m的取值;
(2)若A∩B={x|0≤x≤3},求实数m的值;
(3)若A⊆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f1354e5af47bfe0690db58867f493b1.png)
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2020-01-21更新
|
349次组卷
|
2卷引用:吉林省长春市十一高中、白城一中2017-2018学年高一上学期第一次月考联考数学试题
名校
10 . (1)对一切正整数
,不等式
恒成立,求实数
的取值范围构成的集合.
(2)已知
都是正实数,且
,求
的最小值及相应的
的取值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c6489fd62b55ca837e35a3224c44c6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95f451172458110032801ad7e3e68c0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f29d5f376c75c41ae6af0c8a8565449.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b0fffbec1fe851795dfdd448bf0d165.png)
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2019-06-17更新
|
571次组卷
|
2卷引用:广西南宁市第三中学2018-2019学年高一下学期第三次月考数学试题