名校
解题方法
1 . 给出下列五个命题:
①已知直线
、
和平面
,若
,
,则
;
②平面上到一个定点和一条定直线的距离相等的点的轨迹是一条抛物线;
③双曲线
,则直线![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ef7c2a877878794a822b815a57e3e91.png)
与双曲线有且只有一个公共点;
④若两个平面垂直,那么一个平面内与它们的交线不垂直的直线与另一个平面也不垂直;
⑤过
的直线
与椭圆
交于
、
两点,线段
中点为
,设直线
斜率为![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
,直线
的斜率为
,则
等于
.
其中,正确命题的序号为_______ .
①已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ff4e42856fa5f6a4e12993e53b065e3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a22374b9b90e04bd0e0e34ece26a89f8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d07324ee4dec98ce18a2f37728791b.png)
②平面上到一个定点和一条定直线的距离相等的点的轨迹是一条抛物线;
③双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4e0b8c81ac2e1f768c246208e2ca3ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ef7c2a877878794a822b815a57e3e91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abad909e0902a78436f29d6a755e2e1.png)
④若两个平面垂直,那么一个平面内与它们的交线不垂直的直线与另一个平面也不垂直;
⑤过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99296bab1b42898e7ca336a822510258.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/271e595c257e4c0ade90a9bbbf0e6b0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2708fa6298e52f617383efc175b71ddc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9cb8e6ff801523b0304576cd69fd2d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4a949c00526fddf435423272cf10f25.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3cb77304ba3546c1fc629832f1b811f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abd13974aebe38eb2a1d744a01ea5aa5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4757181824e15e0f21e5bdd55448783.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3389f53711264b0acba3ba6019f8b908.png)
其中,正确命题的序号为
您最近一年使用:0次
2020-03-04更新
|
370次组卷
|
3卷引用:2020届湖南省常德市高三高考模拟考试(一)数学(文)试题
2012·河北·三模
2 . 下列四个命题:①若
,则函数
的最小值为
;
②已知平面
,直线
,若
则
//
;
③△ABC中
和
的夹角等于180°-A;
④若动点P到点
的距离比到直线
的距离小1,则动点P的轨迹方程为
.
其中正确命题的序号为_________
![](https://img.xkw.com/dksih/QBM/2012/2/17/1570747699372032/1570747704819712/STEM/f7346d22823247f898035364c7decb75.png?resizew=59)
![](https://img.xkw.com/dksih/QBM/2012/2/17/1570747699372032/1570747704819712/STEM/5a3de8a91ea54f12927bec75b2917444.png?resizew=72)
![](https://img.xkw.com/dksih/QBM/2012/2/17/1570747699372032/1570747704819712/STEM/33cbfd263d9f4901a9c5929d0eec3246.png?resizew=32)
②已知平面
![](https://img.xkw.com/dksih/QBM/2012/2/17/1570747699372032/1570747704819712/STEM/09c81b8c723f4a4bb45b26b2289250ec.png?resizew=32)
![](https://img.xkw.com/dksih/QBM/2012/2/17/1570747699372032/1570747704819712/STEM/babcca62adcc4e269f0ca20d76447f0e.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2012/2/17/1570747699372032/1570747704819712/STEM/773cd5fb03da4680a0739f0b76b6e464.png?resizew=133)
![](https://img.xkw.com/dksih/QBM/2012/2/17/1570747699372032/1570747704819712/STEM/57408d9d99cf4cc99d725fbc3762e2c5.png?resizew=9)
![](https://img.xkw.com/dksih/QBM/2012/2/17/1570747699372032/1570747704819712/STEM/94c51ba953dd4286a74539a43e23e912.png?resizew=17)
③△ABC中
![](https://img.xkw.com/dksih/QBM/2012/2/17/1570747699372032/1570747704819712/STEM/d77373bc29854b458fb8bc5ba8bc6e66.png?resizew=27)
![](https://img.xkw.com/dksih/QBM/2012/2/17/1570747699372032/1570747704819712/STEM/3c1885307107407c8b2c46c59053fad8.png?resizew=25)
④若动点P到点
![](https://img.xkw.com/dksih/QBM/2012/2/17/1570747699372032/1570747704819712/STEM/86e7be3ac7b74444aaaab9d82991ab58.png?resizew=45)
![](https://img.xkw.com/dksih/QBM/2012/2/17/1570747699372032/1570747704819712/STEM/648ec568a30840d7ade1729be8f41ca2.png?resizew=61)
![](https://img.xkw.com/dksih/QBM/2012/2/17/1570747699372032/1570747704819712/STEM/6a25baaa55a6430591cac31bb7a67c84.png?resizew=55)
其中正确命题的序号为
您最近一年使用:0次
3 . 已知A、B为抛物线
上两点,直线
过焦点F,A、B在准线上的射影分别为C、D,则①
轴上恒存在一点K,使得
;②
;③存在实数
使得
(点O为坐标原点);④若线段
的中点P在准线上的射影为T,有
.中正确说法的序号________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b9de36529148d5e73cc4ff68b8f5e3fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d487fe76b23b2accc0b08c5386a987db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c822c3e065399046a64954bda65f7c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e49fd1a2597f67240c9b98f77df71b74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a670efc425a7cef956399d242b883f31.png)
您最近一年使用:0次