真题
1 . 设
为两个平面,
为两条直线,且
.下述四个命题:
①若
,则
或
②若
,则
或![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45c124ab4f79a863f6a15cfd1365101f.png)
③若
且
,则
④若
与
,
所成的角相等,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84b6e422b2e6f6dada4d8c369559a077.png)
其中所有真命题的编号是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc14778010a33f90902ff17b1ec0ac73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0877194ab8760f54c35527177b03ff93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/92c166c4d75211e5294eb440bf2a6350.png)
①若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a93a52c2b943e4c70ace99ed802d2b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79018590293277ff2d76452a50ad2dbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f4ded3c4bc7a2212f2a0eb5f9753de5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84b6e422b2e6f6dada4d8c369559a077.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9768d65f13b98d024b3277e3ce4c303.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45c124ab4f79a863f6a15cfd1365101f.png)
③若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/79018590293277ff2d76452a50ad2dbc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f4ded3c4bc7a2212f2a0eb5f9753de5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a93a52c2b943e4c70ace99ed802d2b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6a24198bd04c29321ae5dc5a28fe421.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84b6e422b2e6f6dada4d8c369559a077.png)
其中所有真命题的编号是( )
A.①③ | B.②④ | C.①②③ | D.①③④ |
您最近一年使用:0次
昨日更新
|
5332次组卷
|
9卷引用:2024年天津高考数学真题变式题6-10
(已下线)2024年天津高考数学真题变式题6-10专题07立体几何与空间向量专题19立体几何与空间向量选择填空题(第二部分)专题20立体几何与空间向量选择填空题(第二部分)(已下线)2024年高考数学真题完全解读(全国甲卷理科)(已下线)2024年高考全国甲卷数学(文)真题变式题11-15(已下线)2024年高考全国甲卷数学(理)真题变式题6-102024年高考全国甲卷数学(理)真题2024年高考全国甲卷数学(文)真题
真题
2 . 圆
的圆心与抛物线
的焦点
重合,
为两曲线的交点,则原点到直线
的距离为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d2942dff583234d3a682316271e1e39.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3764ba3aa0a241787f4661026bb14053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
您最近一年使用:0次
7日内更新
|
2077次组卷
|
5卷引用:专题09平面解析几何(第一部分)
真题
解题方法
3 . 已知函数
的最小正周期为
.则
在
的最小值是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d05627a2f5acc80c751e584d10e84439.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70f5389990c3a0c5373f3bd9fb2454c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23fb90e09994fdc6ab02ed6ba664f31f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f094ce329a40848140b35fbe4ffd020.png)
A.![]() | B.![]() | C.0 | D.![]() |
您最近一年使用:0次
7日内更新
|
2477次组卷
|
4卷引用:专题07三角函数与解三角形
真题
4 . 下列图中,线性相关性系数最大的是( )
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
7日内更新
|
2347次组卷
|
4卷引用:专题06计数原理与概率统计
真题
5 . 若函数
恰有一个零点,则
的取值范围为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6ed0abc69199027468e3c0216acc74c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
您最近一年使用:0次
7日内更新
|
2170次组卷
|
5卷引用:专题10平面解析几何(第二部分)
真题
6 . 在边长为1的正方形
中,点
为线段
的三等分点,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
______ ;
为线段
上的动点,
为
中点,则
的最小值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8f8c08d4be8d309dc82fd4b170db11b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96724b211bf3e56d588bd430aa3f2894.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85c4bdfb0db1e31e8459df1d15f9ab55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c98a41ef6f9c38a7ebfc74dde60853.png)
您最近一年使用:0次
真题
7 .
五种活动,甲、乙都要选择三个活动参加.甲选到
的概率为______ ;已知乙选了
活动,他再选择
活动的概率为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1d75df9d80ce1e0b7cb50464e293864.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
您最近一年使用:0次
7日内更新
|
2536次组卷
|
4卷引用:专题06计数原理与概率统计
真题
解题方法
8 . 设函数
.
(1)求
图象上点
处的切线方程;
(2)若
在
时恒成立,求
的值;
(3)若
,证明
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4cc1b193aa193153eb402df8560778e6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09f86f37ec8e15846bd731ab4fcdbacd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5828873f8369183faf71181cda5b61d2.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12944387609d0c71c9e0ffd3aa05db73.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/66692ec49a458f9e48c7315d03dfc37b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9f9831f7677f1e05bdbce7edbdba4e8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/19794a4c163ac7e8bef800464b00657f.png)
您最近一年使用:0次
7日内更新
|
2379次组卷
|
4卷引用:专题12导数及其应用(第一部分)
真题
解题方法
9 . 已知椭圆
椭圆的离心率
.左顶点为
,下顶点为
是线段
的中点,其中
.
(1)求椭圆方程.
(2)过点
的动直线与椭圆有两个交点
.在
轴上是否存在点
使得
.若存在求出这个
点纵坐标的取值范围,若不存在请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48da128547c4cf9745e8e4b99988a3db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d5c7316976a221c051a2c14df80b1347.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0520e9675bc1b416e8b8f01eb69fd13.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b90e0f35eda1a729fed485f83da5ea9d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d44315d3429e4d76842ecfc14f1ca949.png)
(1)求椭圆方程.
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/85da0ed942362c124016fe477f3ded48.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5ad58997b9dc0b341c9af08f0cd1fbe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9c8fe61ae85722857b09c70b4ab9eb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
您最近一年使用:0次
7日内更新
|
2152次组卷
|
5卷引用:专题10平面解析几何(第二部分)
真题
10 . 在
中,角
所对的边分别为
,已知
.
(1)求
;
(2)求
;
(3)求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/516983449108347c9bbf5dd2a72ab3dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d90d7f054e8f0346479e1999622f11cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84ea77bd2fa38ee1eb4cfdacb2e162d6.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51c181f86de3c96a7ef7a1a04c3a438f.png)
(3)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fc7315303b9785d9983834115b36e25.png)
您最近一年使用:0次
7日内更新
|
3018次组卷
|
4卷引用:专题07三角函数与解三角形