1 . 已知双曲线
的一个焦点是
,且![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25948269cbc72ca1e2aa10ca731d18a3.png)
(1)求双曲线
的方程
(2)设经过焦点
的直线
的一个法向量为
,当直线
与双曲线
的右支相交于不同的两点
时,求实数
的取值范围
(3)设(2)中直线
与双曲线
的右支相交于
两点,问是否存在实数
,使得
为锐角?若存在,请求出
的范围;若不存在,请说明理由
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/914c2124260496e9307d6448c0c943f0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/25948269cbc72ca1e2aa10ca731d18a3.png)
(1)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)设经过焦点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6231056c30a716f03f90aa3e2eed1cc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)设(2)中直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d7b2fe01a33c4825f9974ed9663a99c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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19-20高二·浙江·期末
解题方法
2 . 椭圆
,椭圆的焦距为2,长轴长是焦距的2倍.
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/9107534f-9939-4e7c-a867-0f1e6ed33b0b.png?resizew=206)
(1)求椭圆C的方程;
(2)
,
,
,
分别与椭圆相切,且
,
,
,如图,
,
,
,
围成的矩形的面积取值记为S,求S的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad523e69a1bf925e73a22900b9855df2.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/29/9107534f-9939-4e7c-a867-0f1e6ed33b0b.png?resizew=206)
(1)求椭圆C的方程;
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9fce9427c9b17e4d3cda0c3ff3e2e14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f2813ee8f26cca880b6427f5f545d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cdb9d8425d73a68731f30e0c0e22260.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6707d881334c507dc9f6e7b5bbfd91c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac146a46b4bac02776fb3d916bbd124.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9fce9427c9b17e4d3cda0c3ff3e2e14.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7f2813ee8f26cca880b6427f5f545d0.png)
您最近一年使用:0次
名校
3 . 已知命题
直线
与圆
有公共点;
命题
函数
在区间
上单调递减;
(1)分别求出两个命题中
的取值范围,并回答
是
的什么条件;
(2)若
真
假,求实数
的取值区间.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1a8ba78658831f9fce13aafa1d93973.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a7a5c18ef36a919886d2d1e2f3e5289.png)
命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aadb627a40786091cfd9648360212a58.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c13e38a5ee18ecf4af2d9a8443b4a7bc.png)
(1)分别求出两个命题中
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
您最近一年使用:0次
2019-05-07更新
|
1011次组卷
|
4卷引用:江西省南康中学2018-2019学年高二下学期期中考试(第二次大考)数学(文)试题
17-18高二·全国·课后作业
4 . 已知一元二次方程
的一个根在
内,另一根在
内,试用图表示出以
为坐标轴的点
的存在范围,并求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b8a8a6f718afd6fe4c29806ed7e2da2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44d624920c40fceaba1885c5947f12b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4833ae6be21b353b5ebbaef21e00dba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5329b64d87e8083b16a15aed54b47b4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6dd080f2f7e1a817e541acdbf69f7a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bced49439e6a42742f630ad823a52441.png)
您最近一年使用:0次
名校
5 . 已知命题p:任意
,x2-a≥0恒成立;命题q:函数
的值可以取遍所有正实数.
(Ⅰ)若命题p为真命题,求实数a的范围;
(Ⅱ)若命题p∧q为假命题,p∨q为真命题,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09508e8e64da0f03763be5067b211c2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41497e79c19d24678d64b36032cb6e56.png)
(Ⅰ)若命题p为真命题,求实数a的范围;
(Ⅱ)若命题p∧q为假命题,p∨q为真命题,求实数a的取值范围.
您最近一年使用:0次
2019-01-26更新
|
687次组卷
|
3卷引用:【校级联考】安徽省宿州市十三所重点中学2018-2019学年高二第一学期期末质量检测数学(文)试题
6 . 已知命题p:函数
的定义域为R,命题q:函数
在
上是增函数.
(1)若p为真,求m的范围;
(2)若“
”为真命题,“
”为假命题,求m的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d41e34dfd2cd070f1252ce3630094c8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f880b3936c75c133a4dfaa657d58db0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/363709222cc1a0c4d33d2061f1c405b6.png)
(1)若p为真,求m的范围;
(2)若“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d63e8f7a492b9066d33a7741a74ba621.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c554e9fd580d60d9eff61b0c65199df.png)
您最近一年使用:0次
7 . 已知命题p:(x-2)(x+m)≤0,q:x2+(1-m)x-m≤0.
(1)若m=3,命题“p∧q”为真命题,求实数x的取值范围.
(2)若p是q的必要不充分条件,求实数m的取范围.
(1)若m=3,命题“p∧q”为真命题,求实数x的取值范围.
(2)若p是q的必要不充分条件,求实数m的取范围.
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名校
8 . M={x|
>0},N={x|x2+(a﹣8)x﹣8a≤0},命题P:x∈M,命题q:x∈N.
(1)当a=﹣6时,若“p且q“为真命题,求x的范围;
(2) 若¬q是¬p的必要不充分条件,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c66165958e24accf4b3f7e1971aeb69.png)
(1)当a=﹣6时,若“p且q“为真命题,求x的范围;
(2) 若¬q是¬p的必要不充分条件,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b331bbdd68d110681fc4547748b93bb.png)
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14-15高二上·江苏徐州·期中
9 . 设
命题
.
(1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e7417503cc66631eacc05fcef119c6a.png)
(2)若命题
是命题
的一个必要不充分条件,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee7ad52e33a1e486aa3ea73a09698d2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4832a1611f1a8420ba625d17c0bdee36.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e7417503cc66631eacc05fcef119c6a.png)
(2)若命题
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
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10 . 已知命题
:二次函数
在区间
是增函数;命题
:双曲线
的离心率的范围是
.
(1)分别求命题“
” .命题“
”均为真命题时m的取值范围.
(2)若“p且q” 是假命题,“p或q”是真命题,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bbeb7ddefd2a77f8309b8ba004d0e72f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bf824e83fb9d3e722becb129132c347.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aa178511ff50959354e4d551f141bbac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c3c6067f6d726dc865d9e6a645fac12.png)
(1)分别求命题“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
(2)若“p且q” 是假命题,“p或q”是真命题,求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
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