名校
1 . 下列结论:
(1)若
,则“
”成立的一个必要不充分条件是“
,且
”;
(2)存在
,且存在
使得
;
(3)若函数
的导函数是奇函数,则实数
;
(4)平面上的动点
到定点
的距离比
到
轴的距离大
的点
的轨迹方程为
;
(5)已知平面
满足
,则
;
(6)若
,则事件
与
是对立事件.
其中正确结论的序号为__________ .(填写所有正确的结论序号)
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2a9344f4fca7b9779ca7720e5277ea6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9bec124eb33e5ab4601b4b70f70913b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/707ea658f3a9359f5740d5aab48f7948.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c50866229ec5a3640fb250f9bd2192b3.png)
(2)存在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d33da711e50e96568facb18cef27165.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08115d6d9f876dea921a4d32260ff1fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/787ef778b8c90778644b6f34d2f851b0.png)
(3)若函数
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcfe5f8a174b9b70fe067e171da7ea2a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b108ab31cc093f03cf48ad65429889e.png)
(4)平面上的动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63309dbc3612815f6dbdee23d9a10adc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/61128ab996360a038e6e64d82fcba004.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac62b1ade07205ae2693ec1ab135def.png)
(5)已知平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb3e3f7a929526d602d0a4010ba479a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2cac3ca03e7640dceb04fbf33b8268b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/35f747152f006301e03b643afb80195c.png)
(6)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f94cb714391a7e13d8e53bebd4042fb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
其中正确结论的序号为
您最近一年使用:0次
2 . 以下四个关于圆锥曲线的命题中:
①设A、B为两个定点,k为非零常数,若
,则动点P的轨迹为双曲线;
②抛物线
焦点坐标是
;
③过定圆C上一定点A作圆的动弦AB,O为坐标原点,若
,则动点P的轨迹为椭圆;
④曲线
与曲线
(
且
)有相同的焦点.
其中真命题的序号为______ (写出所有真命题的序号.)
①设A、B为两个定点,k为非零常数,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f4562ddd51f544eaff300c9b4638646.png)
②抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/315513892f06ef3ce82021d5e0566606.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/532eff5d4385426065732b3deec31426.png)
③过定圆C上一定点A作圆的动弦AB,O为坐标原点,若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10a6bb839093992d42c6c813c73ccad2.png)
④曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9a0bd4bd9985f1e367c100b453ed03f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f4e82ca0fbf98b8903c97467acd1d6a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c69c2e4498e7916dbc05a71fc0c316ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe5c9d9221866bca2fd57b9b31100c62.png)
其中真命题的序号为
您最近一年使用:0次
名校
解题方法
3 . 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:2019届四川省成都市石室中学高三下学期三诊模拟数学(文)试题
4 . 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