名校
解题方法
1 . 已知圆系
,圆
过
轴上的定点
,线段
是圆
在
轴上截得的弦,设
.对于下列命题:
①不论
取何实数,圆心
始终落在曲线
上;
②不论
取何实数,弦
的长为定值1;
③式子
的取值范围是
.
④不论
取何实数,圆系
的所有圆都与直线
相切;
其中真命题的序号是__________ .(把所有真命题的序号都填上)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b214316f02bbdd3bb5bda1ec628f0969.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e5c0d3564653f3c95d929bfa70289c18.png)
①不论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e8953ded144195804384dcb494d5e2a.png)
②不论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
③式子
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9c26ee0f01990cd336dc2452014ea0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d89d3cb58df77b34628cc290b2c91fbb.png)
④不论
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2f3fa679bb55ded25a9b72a8e788cb1.png)
其中真命题的序号是
您最近一年使用:0次
2024·全国·模拟预测
名校
解题方法
2 . 在直角坐标系xOy中,已知点
,
,
,动点P满足线段PE的中点在曲线
上,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092fd1b1d33979818300cd2e3699bff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dad483f961dc9d4c1516cf9f60138c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8cda12642d59a5817e8990c43de20535.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc97895f0f42814de858ba198de26a0a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44397211d1486df32b56d8d213695170.png)
A.2 | B.3 | C.4 | D.5 |
您最近一年使用:0次
名校
3 . 已知正方体
的棱长为2,M为
的中点,N为ABCD(包含边界)上一动点,
为平面
上一点,且
平面ABCD,那么( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9854e6c3518ae641e0457136fd78822.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7688363f5ffff23a6193c7a8eee501c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/632f2bf1cd0435041fa04b01901d1c8c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89ab6fd9972d6298ae91e81cb75189a0.png)
A.若![]() |
B.若三棱柱![]() |
C.若点N到直线![]() |
D.若![]() ![]() |
您最近一年使用:0次
4 . 点
是棱长为1的正方体
棱上一点,则满足
的点
的个数为____________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d633a5d173fc5b6949ac7d47ff350a8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
您最近一年使用:0次
5 . 已知平面向量
满足
,若平面向量
满足
,则
的最大值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b172cf8d898883d82e973f28c3c3a3e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d1bd7cb9d85f58d30f298ed2c092e4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d366d8fbb7258ee051f49977441e14a2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5c9f0830047cd49c467f2b1c34c6dbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f8b9855e198e41065f4408a18e6531b.png)
您最近一年使用:0次
6 . 在平面直角坐标系中,已知
两点.若曲线C上存在一点P,使
,则称曲线C为“合作曲线”,给出下列曲线:①
;②
;③
.其中“合作曲线”是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f01b186ac8aa73e1a3609b40b6c3ee6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f88ca19f4a1452bbc501eefdd6683ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02f1596d3e260ec2198058d1b94ed7e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad847293e9c58676607222f35b0395ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b16d1b1c4f6ae3b46ce8be922bf5186a.png)
A.①② | B.②③ | C.① | D.② |
您最近一年使用:0次
名校
解题方法
7 . 三棱锥
各顶点均在半径为
的球
的表面上,
,二面角
的大小为
,则对以下两个命题,判断正确的是( )
①三棱锥
的体积为
;②点
形成的轨迹长度为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63397cda22cb1fad59cf966dfb588643.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e0e58159e9b66c4a93372cd77ab9758.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b796bbaeb8450404c2d146283562006e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/defbf09ba4c3d4770a7dacd04426e8fa.png)
①三棱锥
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4278c0911e7df78965e78cff69cac5f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a391005600bdd69c96750589f9adb048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/557a94abe27623e48ee2c729a8352b8c.png)
A.①②都是真命题 |
B.①是真命题,②是假命题 |
C.①是假命题,②是真命题 |
D.①②都是假命题 |
您最近一年使用:0次
2024-04-23更新
|
411次组卷
|
2卷引用:上海市徐汇区2024届高三学习能力诊断数学试卷
解题方法
8 . 如图1所示,为曲杆道闸车库出入口对出人车辆作“放行”或“阻拦”管制的工具.它由转动杆
与横杆
组成,
为横杆的两个端点.在道闸抬起的过程中,横杆
始终保持水平.如图2所示,以点
为原点,水平方向为
轴正方向建立平面直角坐标系.若点
距水平地面的高度为1米,转动杆
的长度为1.6米,横杆
的长度为2米,
绕点
在与水平面垂直的平面内转动,与水平方向所成的角
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49cbbf0efc7ec76c6596103068350ba7.png)
A.则点![]() ![]() ![]() |
B.则点![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次
9 . 已知正方形
的边长为2,
是平面
外一点,设直线
与平面
的夹角为
,若
,则
的最大值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb49b2e02521f8bb8d0ecb73f2226319.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
10 . 在平面直角坐标系
中,O为坐标原点,定义
、
两点之间的“直角距离”为
.已知两定点
,
,则满足
的点M的轨迹所围成的图形面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d6f5adf13b4214666292dd64b947741.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af405a054bfe7fb7ce40e48d816467e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bea37e25ba5e11e5e2c428996f74e5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0929421a6188c3122442866b0b85a5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f55d12701014cf53071093e8739d089b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75f61cf4bdc498e0b6926e4f887d0e8a.png)
您最近一年使用:0次
2024-04-17更新
|
765次组卷
|
3卷引用:广东省梅州市2024届高三下学期总复习质检(二模)数学试题