解题方法
1 . 当自变量x在什么范围取值时,下列函数的值等于0?大于0?小于0?
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bcbebab8e7701746cd56119b7f5a1f6c.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04a4440fa06228bbbf984fca45bdc9aa.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e9cc1287c5b9f8236501604c91fc97b.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6749363b596713553555f8c16527408f.png)
您最近一年使用:0次
2020-02-06更新
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1074次组卷
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7卷引用:人教A版(2019) 必修第一册 逆袭之路 第二章 2.3 二次函数与一元二次方程、不等式
人教A版(2019) 必修第一册 逆袭之路 第二章 2.3 二次函数与一元二次方程、不等式人教A版(2019) 必修第一册 新高考名师导学 第二章 2.3 二次函数与一元二次方程、不等式(已下线)2.3 二次函数与一元二次方程、不等(已下线)2.3 二次函数与一元二次方程、不等式 (第1课时)(导学案)-【上好课】人教A版(2019)必修第一册课本习题2.3 二次函数与一元二次方程、不等式(已下线)高一上学期期中复习【第二章 一元二次函数、方程和不等式】八大题型归纳(基础篇)-举一反三系列(已下线)2.3二次函数与一元二次方程、不等式【第一练】
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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解题方法
4 . 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
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1227次组卷
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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))
5 . 已知函数
.
(1)讨论
的单调性;
(2)设
,若函数
的两个极值点
恰为函数
的两个零点,且
的范围是
,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5197dfd4017ba3d8cacfdb92b68ed2d1.png)
(1)讨论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e3fb57a44ad1242bd15e4b09bf8e80b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca579894dad67bc82cb715fd48e0d70.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4669810732b633b60dbeaf0bf57204f6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/918611f83cead72b29416684934ce2c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f6dd12056eadde0d766567ca83445b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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解题方法
6 . 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)
您最近一年使用:0次
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)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)(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
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7 . 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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解题方法
8 . 已知向量
,
,设![](https://staticzujuan.xkw.com/quesimg/Upload/formula/053d40610c39e4ffca665bf4206cfa29.png)
(1)若
,求
的所有取值;
(2)已知锐角
三内角
,
,
所对的边分别为
,
,
,若
,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa74231b6b7acd78f0a621961f11ac0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/346f9fa481695c3272cdbc08d3db265f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/053d40610c39e4ffca665bf4206cfa29.png)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c9e57f9051895c43eb87215f444a8bb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)已知锐角
![](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/8477c9237d6d23fcdd6a6ff35ca7aa25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38e3d87be9f706832ef25537d78a201b.png)
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9 . 已知函数
.
(1)判断函数
的奇偶性并求当
时函数
的单调区间;
(2)若关于
的方程
在
范围内有实数解,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/613c8cf2e1ee87a86e18d3af16fdf96b.png)
(1)判断函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fe7d5809da02c15a43a0e9a898b9086.png)
(2)若关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d20424289bbdde29f6ce6f29f4fe5dc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
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10 . 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)
您最近一年使用:0次
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