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
,
为假命题,记实数
的取值为集合
.
(1)求集合
;
(2)设关于
的不等式
的解集为
,若__________,求实数
的取值范围.
从①“
”是“
”的充分不必要条件;
②“
”是“
”的必要不充分条件,这两条件中任选一个,填入上面的横线中,并解答.
注:如果选择多个条件分别解答,按第一个解答计分.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/248d3fb187b56abeb0317dee8ae6a010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17ca710fe3374b17f856cc90163ae2c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(1)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)设关于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac7725026d64d0083488985f8e1431fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
从①“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acfc595518cf752e1c7903dfff93dbda.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54c50fb5615e36df436d747356b00d78.png)
②“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5353e276298ba6a05b6fef7a997c43b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54c50fb5615e36df436d747356b00d78.png)
注:如果选择多个条件分别解答,按第一个解答计分.
您最近一年使用:0次
3 . 已知使不等式
对于一切实数
恒成立的实数
取值的集合为
,关于
的不等式
的解集为
.
(1)求集合
;
(2)若
,且
是
的必要不充分条件,求实数
的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd96bfc711d21f7cb2e8076c118f6f12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/176f0ad4b9d581715dff883b0e414044.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
(1)求集合
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a7da3317af42e7e05d771b1b1187976.png)
![](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)
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名校
4 .
,且
.
(1)方程
在
有且仅有一个解,求
的取值范围.
(2)设
,对
,总
,使
成立,求
的范围.
(3)若
与
的图象关于
对称,求不等式
的解集.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89a615271711750f4e18797f6c45404a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/221d133bc38df7ae4bf1717cb3ca12d4.png)
(1)方程
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e029124b4cd659d0596a955e6b93ce5b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8284604d4499d6ee65dbefed20c7800f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0a532e15e232cb4b99a8d4d07c89575.png)
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6b324aceadfd941605fa757a5ea014c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95e21dc6fe0ae3b5c607b274227b547e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a58a804ac94af91bb076b7bf3184a24c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ec6154e00013d9dee84c0e941f676ea9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a813b5adbf5c7082561237894ba6d599.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b28dd80f024a2ad50d7d5838a1cd80c5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7eb89f9fa268fc91676108a58c29e114.png)
您最近一年使用:0次
2023-05-21更新
|
1196次组卷
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6卷引用:辽宁省沈阳市第十一中学2022-2023学年高一下学期4月月考数学试题
辽宁省沈阳市第十一中学2022-2023学年高一下学期4月月考数学试题江西省吉安市双校联盟2022-2023学年高一下学期期中考试数学试题(已下线)专题5.9 三角函数全章八类必考压轴题-举一反三系列(已下线)专题5.4 三角函数的图象与性质-举一反三系列(已下线)第七章 三角函数(压轴题专练)-单元速记·巧练(沪教版2020必修第二册)(已下线)模块四 专题2 重组综合练(江西)(北师版高一期中)
名校
解题方法
5 . 已知命题:“
,使得
”为真命题.
(1)求实数m的取值的集合A;
(2)设不等式
的解集为B,若
是
的必要不充分条件,求实数a的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02491f9709f00a1bc169278fbe01f576.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb7b12e33cf59ca118b6f7c5a7bfa351.png)
(1)求实数m的取值的集合A;
(2)设不等式
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c4cba0fe60beceb1cd8cffb9e385ec4b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e23af61cd402b3789af2401bde9cbefe.png)
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2023-02-01更新
|
655次组卷
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5卷引用:河南省郑州航空巷区育人高级中学2021-2022学年高一上学期11月月考数学试题
河南省郑州航空巷区育人高级中学2021-2022学年高一上学期11月月考数学试题(已下线)1.5 全称量词与存在量词(AB分层训练)-【冲刺满分】(已下线)专题2.3 全称量词命题与存在量词命题(2)-【帮课堂】(苏教版2019必修第一册)广东省珠海市第二中学2023-2024学年高一上学期10月月考数学试题重庆市永川中学校2023-2024学年高一上学期期中数学复习题(一)
名校
6 . 已知命题“![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
,
”为真命题.
(1)求实数
的取值的集合
;
(2)若
,使得![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07fdf7b8cfcf3d6de8706f44d780c0be.png)
成立,记实数
的范围为集合
,若
中只有一个整数,求实数
的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51441c8788ff11be766766227793246d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c780149aef1bd77162e85f7f8906a6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ed98d1b20bf77377c1374a3de92f7a.png)
(1)求实数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dd066d97b6cb1bbeee0ff803bc2bc39d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07fdf7b8cfcf3d6de8706f44d780c0be.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/137d62e10f2d801736ae733d21721a29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fdbfa7a63fdf5717d40c8c9a73ec160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
您最近一年使用:0次
2021-10-16更新
|
730次组卷
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4卷引用:河南省驻马店市西平县高级中学2021-2022学年高一上学期10月月考数学试题
河南省驻马店市西平县高级中学2021-2022学年高一上学期10月月考数学试题(已下线)突破1.5全称量词与存在量词(课时训练)(已下线)第一章 集合与常用逻辑用语 章末测试(基础)-《一隅三反》江西省丰城市第九中学2023-2024学年高一上学期11月期中数学试题
名校
7 . 下列命题中正确的是( )
A.若已知集合![]() ![]() ![]() ![]() ![]() |
B.函数![]() ![]() |
C.已知不等式![]() ![]() ![]() ![]() ![]() ![]() |
D.命题![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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9-10高三下·北京东城·期中
8 . (
已知椭圆
,以原点为圆心,椭圆的短半轴为半径的圆与直线
相切.
(1)求椭圆C的方程;
(2)设
轴对称的任意两个不同的点,连结
交椭圆![](https://img.xkw.com/dksih/QBM/2011/3/8/1570028693577728/1570028699033600/STEM/4415d940d8904a9689cda1d42e7522a6.png)
于另一点
,证明:直线
与x轴相交于定点
;
(3)在(2)的条件下,过点
的直线与椭圆
交于
、
两点,求
的取值
范围.
已知椭圆
![](https://img.xkw.com/dksih/QBM/2011/3/8/1570028693577728/1570028699033600/STEM/d317303a9cba459a8167a1bae5ebcd04.png)
![](https://img.xkw.com/dksih/QBM/2011/3/8/1570028693577728/1570028699033600/STEM/e66f218312e34cc9afd1768e36ef0ae1.png)
(1)求椭圆C的方程;
(2)设
![](https://img.xkw.com/dksih/QBM/2011/3/8/1570028693577728/1570028699033600/STEM/54b2eef1aeff4bc685e7c0cc2d4fafa4.png)
![](https://img.xkw.com/dksih/QBM/2011/3/8/1570028693577728/1570028699033600/STEM/ff50b06d875243aa9c5fec5e4b82948c.png)
![](https://img.xkw.com/dksih/QBM/2011/3/8/1570028693577728/1570028699033600/STEM/4415d940d8904a9689cda1d42e7522a6.png)
于另一点
![](https://img.xkw.com/dksih/QBM/2011/3/8/1570028693577728/1570028699033600/STEM/caf7547391e64ab4ba1a6b0f1d170ed3.png)
![](https://img.xkw.com/dksih/QBM/2011/3/8/1570028693577728/1570028699033600/STEM/a906fb03e42b4188abba78dc1072ff0d.png)
![](https://img.xkw.com/dksih/QBM/2011/3/8/1570028693577728/1570028699033600/STEM/eea432741420472ebfb45fae7d8c381d.png)
(3)在(2)的条件下,过点
![](https://img.xkw.com/dksih/QBM/2011/3/8/1570028693577728/1570028699033600/STEM/eea432741420472ebfb45fae7d8c381d.png)
![](https://img.xkw.com/dksih/QBM/2011/3/8/1570028693577728/1570028699033600/STEM/4415d940d8904a9689cda1d42e7522a6.png)
![](https://img.xkw.com/dksih/QBM/2011/3/8/1570028693577728/1570028699033600/STEM/dfc1063fb8cd470a9d120b2c915ec9c7.png)
![](https://img.xkw.com/dksih/QBM/2011/3/8/1570028693577728/1570028699033600/STEM/b2d5c16639af4707b7212c764bd13816.png)
![](https://img.xkw.com/dksih/QBM/2011/3/8/1570028693577728/1570028699033600/STEM/ffebbda395f049cfb4fe73a8d4323ad6.png)
范围.
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名校
解题方法
9 . 已知
的解集为A,p:
,q:
或
,若p是q的必要不充分条件,则a的可能取值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57a6639fd42e133464eaa7c2424be827.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed006b944ea64f970fee46e2f558467.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d1873b7f750fd0b8bd8f719c200196fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62a930217da110a73bb109f3afc3f754.png)
A.![]() | B.0 | C.1 | D.2 |
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名校
解题方法
10 . 已知三个不等式:①
;②
;③
;
(1)若不等式①和②的解集分别为集合A与集合B,求
;
(2)若“
”是“
”的充分不必要条件,求m的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7f18821e5860e5ac12413a39ce5e6bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/690162f516e4db438c8e6946604bf72e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e7b904e5c926685b119394a9f6fc65a.png)
(1)若不等式①和②的解集分别为集合A与集合B,求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/38ee569a8ff677073ef2b7aaac3ce69f.png)
(2)若“
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e949a465a33bcf9e9a3f8b9cde19cc3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3527e5db0a80be1d9086a91609077168.png)
您最近一年使用:0次
2022-10-20更新
|
299次组卷
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2卷引用:江苏省常州高级中学2022-2023学年高一上学期第一次调研检测数学试题