名校
1 . 圆形是古代人最早从太阳、阴历十五的月亮得到圆的概念的.一直到两千多年前我国的墨子(约公元前468-前376年)才给圆下了一个定义:圆,一中同长也.意思是说:圆有一个圆心,圆心到圆周的长都相等.现在以点
为圆心,2为半径的圆上取任意一点
,若
的取值与x、y无关,则实数a的取值范围是____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/990eaf5dbba84f199bdc438da81fcfa6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3b9eb2780c00dcea20ac3e337141071e.png)
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2023-10-14更新
|
655次组卷
|
4卷引用:湖北省黄冈市浠水县第一中学2023-2024学年高二上学期期中数学试题
名校
2 . 若实数
的取值使函数
在定义域上有两个极值点,则叫做函数
具有“凹凸趋向性”,已知
是函数
的导数,且
,当函数
具有“凹凸趋向性”时,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/724340d69477c0ec2418c392b22b1cab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c6d8c37886c5e16ee2485c2d35aa357.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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解题方法
3 . 函数
,且
,若关于x的不等式
的解集为
,则实数a的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc248024c0f87f8a6717bbd4a8f42927.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e9c599e8d420006448905acec2b8234.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3b2856045b940760ebabe6606df19a6.png)
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2023-04-21更新
|
551次组卷
|
2卷引用:湖北省武汉市华中师范大学第一附属中学2022-2023学年高二下学期期中数学试题
解题方法
4 . 关于
的不等式
的解集是
,
的取值范围___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb1365964b1aaae20c268f960912f763.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12ff4a1f5d3ad9d7668fe555e70b774c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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5 . 已知函数
,在下列命题中,其中正确命题的序号是_________ .
(1)曲线
必存在一条与
轴平行的切线;
(2)函数
有且仅有一个极大值,没有极小值;
(3)若方程
有两个不同的实根,则
的取值范围是
;
(4)对任意的
,不等式
恒成立;
(5)若
,则
,可以使不等式
的解集恰为
;
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ab0b80ec509aa5b39b2e6afc813c1e3.png)
(1)曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
(2)函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c530f4b7491b95acb8ce3eef9aa09d.png)
(3)若方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e9c6e8adb2580204c195e2321f91895.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60852c3e67a737aeb2979130a125e9c9.png)
(4)对任意的
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dafce249be1aeee0581417db4ce841db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e64831d66b64c0125dbc386ffc7744fb.png)
(5)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00f9af438458d89c88ba7071afe654ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c1da576d803aede2bd2306a70d1189a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c1312d640aa773779a34e9d50791ef5d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2d21e8c00e2bbbd848c35e007552b64.png)
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2017-08-22更新
|
773次组卷
|
4卷引用:【校级联考】湖北省郧阳中学、恩施高中、随州二中三校2018-2019学年高二下学期期中考试数学(理)试题
名校
6 . 若关于x的不等式
的解集为空集,则m的取值范围为_________
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41136c54c6c1776368b2a31d8399c9c6.png)
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7 . 设
:
在
和
上是单调增函数;
:不等式
的解集为
.若
为假,
为真,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1fb8e5e03b89beb57be016a282cfa4e.png)
![](https://img.xkw.com/dksih/QBM/2016/5/5/1572616689238016/1572616694980608/STEM/e59a426c335c4148b365ab8b6fa5eab5.png?resizew=64)
![](https://img.xkw.com/dksih/QBM/2016/5/5/1572616689238016/1572616694980608/STEM/7498d9f1d3e844ef9b5c1bab6f0b8106.png?resizew=55)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://img.xkw.com/dksih/QBM/2016/5/5/1572616689238016/1572616694980608/STEM/89299597488b4ebabd16da5f29c232b2.png?resizew=77)
![](https://img.xkw.com/dksih/QBM/2016/5/5/1572616689238016/1572616694980608/STEM/998b64d955274b8d9123041982604a77.png?resizew=16)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13472bf0353e16784a22e1f890fba40.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f675824e539f50cec53120959d32e554.png)
![](https://img.xkw.com/dksih/QBM/2016/5/5/1572616689238016/1572616694980608/STEM/bf06a17e2c3447339f1193db31d52675.png?resizew=13)
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