名校
解题方法
1 . 过
轴正半轴上一点
作直线与抛物线
交于
,
,
两点,且满足
,过定点
与点
作直线
与抛物线交于另一点
,过点
与点
作直线
与抛物线交于另一点
.设三角形
的面积为
,三角形
的面积为
.
(1)求正实数
的取值范围;
(2)连接
,
两点,设直线
的斜率为
;
(ⅰ)当
时,直线
在
轴的纵截距范围为
,则求
的取值范围;
(ⅱ)当实数
在(1)取到的范围内取值时,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b62769b7177ef4bc952dc1dd51d6b510.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67f8eb63af65ec83b223ac31f18738cb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12a3efb79f35db8448f3391252ab7d4e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8df332f01628130c084fd46aaca0a4b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c93d889bd26df14fe80111534d9c81d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a1440ea23c04adc6e049e57a1de89942.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/343a7ab6571ec674d8ec3dd5492fccaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/60ef95894ceebaf236170e8832dcf7e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/343a7ab6571ec674d8ec3dd5492fccaa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d40b319212a7e7528b053e1c7097e966.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1885efcff0b903e314057dd153578600.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/193b5b41994c2a4dfa5bb0bc984061cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
(1)求正实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)连接
![](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/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed1e9cdd5a82f29ec89b2c53b4fa6f8.png)
(ⅰ)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37e25b9b8e906fa529f5786091bf2317.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2110c1f8d9858bdbcea63eb6cb3cbd2b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed1e9cdd5a82f29ec89b2c53b4fa6f8.png)
(ⅱ)当实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ad5a9147b25285124851a61c7d1a24a.png)
您最近一年使用:0次
2020-05-18更新
|
337次组卷
|
2卷引用:2020届黑龙江省哈尔滨市第三中学高三学年第一次模拟考试理科数学试题
2 . 已知命题
对任意的
恒成立;命题
关于
的不等式
有实数解.若命题“
”为真命题,且“
”为假命题,求实数
的取值
范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ba1abdab88496ca6775fbbcc5f155de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0be07495dbc744e1ecabac66f748218.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce20ef9c08e82df8c7f45bac6dd31d36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/451e12eab40cf38b8ffdf48e93e8a901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0045a603e555d2d2a8ef634f9edf9951.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a31351c3868449fd115650c13152be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
范围.
您最近一年使用:0次
3 . 已知实数a为常数,且
,
,函数
.甲同学:
的解集为
;乙同学:
的解集为
;丙同学:
的极值为负数.在这三个同学中,只有一个同学的论述是错误的,则a的范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20849c00c47cbdc43f18d53341b6c4e5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd594e99f82b7736c44e18b2721e607f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3abfa7f173dc46ec1c5f054547333563.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c73a98c1b3504e09bfbe0db849b0d24.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff6d8d3a028094e677b6a48855a93d56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a71baf6217604517fd98fa97d0f55b43.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ff6d8d3a028094e677b6a48855a93d56.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
4 . 解答:
(1)已知命题p:“
,
”是真命题,求实数a的取值范围;
(2)已知命题q:“
满足
,使
”为真命题,求实数a的范围.
(1)已知命题p:“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c780149aef1bd77162e85f7f8906a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4e4c27b2eaac0f31363172af57ef298b.png)
(2)已知命题q:“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8123b82eb5957f24c35db521504d67f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95842ad442c7f6d5ec4b32939b929e63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0138d994d0b63abd198d1c69f16df1f.png)
您最近一年使用:0次
5 . 已知命题
:“曲线
:
表示焦点在
轴上的椭圆”,命题
:“曲线
:
表示双曲线”,使命题
是真命题的
的范围记为集合
,使命题
是真命题的
的范围记为集合
.若
是
的必要不充分条件,求
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e984f0d9df6f14b9655b2cb5ff01c3ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9d8428ed9246fc1c537466ed42a6c63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aa8a716a31b0f51b70fdf9bdb257909.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a0ac8b620b5eca9daa7276712935ef6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22111b1f07e7873e5a156d1937eaac27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
您最近一年使用:0次
名校
6 . 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
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.
您最近一年使用:0次
名校
解题方法
8 . 关于
的不等式
的解集中有且仅有两个大于2的整数,则实数a的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3767a6c0d225947f6e6db4d2c633b1fa.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2022-11-18更新
|
895次组卷
|
7卷引用:福建省泉州第五中学2023届高三上学期期中考试数学试题
福建省泉州第五中学2023届高三上学期期中考试数学试题(已下线)专题08 导数与函数综合压轴(选填题)-3内蒙古赤峰二中2022-2023学年高二下学期第二次月考数学(理)试题福建省宁德第一中学2023届高三一模数学试题(已下线)专题06 函数与导数常见经典压轴小题归类(26大核心考点)(讲义)-1(已下线)信息必刷卷05(江苏专用,2024新题型)(已下线)重难点突破08 利用导数解决一类整数问题(四大题型)
名校
解题方法
9 . 已知集合
,函数
.
(1)求关于
的不等式
的解集;
(2)若命题“存在
,使得
”为假命题,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7871d04f3cc2c56e2296858cd639f3f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/457e8a17c7b238654b8410288a27741e.png)
(1)求关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ffb694021b52653de5141ae27ba6d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0715b8d8f8cb86bb46837de6efb69b13.png)
(2)若命题“存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c69ce4f3765d075486de47f55942d207.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec7138f289076d58ebd1ca1f906e11f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4887473a8091e1ef53a169cc9f211e3a.png)
您最近一年使用:0次
2022-10-21更新
|
203次组卷
|
2卷引用:江西省鹰潭市贵溪市实验中学2023届高三上学期10月第一次月考数学(理)试题
名校
解题方法
10 . 已知函数
,
.若存在实数
使不等式
的解集为
,则实数
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc55154a1dcd3ba8f67d07206eb08c0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ea6ba0edfb687ba9b292ead709784e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44e312eca38032174f9739126b81d012.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b3713c3e16d495467b3790c3ef3a15b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2021-12-23更新
|
529次组卷
|
2卷引用:陕西省西安市西北工业大学附属中学2022届高三上学期第四次适应性训练文科数学试题