1 . 已知空间四边形
中,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b5f7fd37cdb01d649bd074bc79d7339.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2d9acdabbbcfa6185a39659a416a4218.png)
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2 . 下列说法正确的是( )
A.已知点![]() ![]() ![]() ![]() ![]() |
B.已知点![]() ![]() ![]() ![]() ![]() |
C.已知点![]() ![]() ![]() ![]() ![]() |
D.已知点![]() ![]() ![]() ![]() ![]() |
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3 . 下列结论不正确的是( )
A.若直线![]() ![]() ![]() |
B.直线![]() ![]() |
C.直线![]() ![]() ![]() |
D.与点![]() ![]() ![]() ![]() ![]() |
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4 . 已知直线l的方向向量为
,平面
的法向量为
,若
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1836384aa59e97841686b3dd6f255a5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e170f206fdbbd834aad7580c727e2cc6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f02e49798cc33aca11cab97d47db10ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e380108ba2cf04e68a5a9393d2b921c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/934d37c81b2266c7b86bcc11afaf5f91.png)
A.2 | B.3 |
C.4 | D.5 |
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5 . 已知空间向量
,
,
,则
在
上的投影向量为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a01f660117b02f6435bf289c50f2389.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b532ff725ed321148010644e7f0e05f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58512e79f67524f6d9b131adebbe2b0b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a2f4b1178f68bd147d1a2a6acd04435.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c94075193c11fe43f2396cff5a485054.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2023-11-07更新
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2卷引用:吉林省松原市前郭尔罗斯蒙古族自治县第五高级中学2023-2024学年高二上学期期中数学试题
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解题方法
6 . 若a,b为正实数,直线
与直线
互相垂直,则点
到直线
的距离的最大值为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/87762e957a6f80d74d6f4158c55f1c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/70d1ccafb24f2a9eaf8795d9e34b2c53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/29343388ca8b33dc98325e65382b38a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7a3d5bc1b05da4d8f7049538431a6bc.png)
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7 . 已知圆
与直线
,点P,Q分别在直线l和圆C上运动,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f2a436f6a51e385d2698adcba441601.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f3497af3942a788b64c6b91b62a8dbf1.png)
A.![]() ![]() |
B.过点![]() ![]() |
C.过P作圆C的切线PA,A为切点,![]() ![]() |
D.存在点P使得过P所作圆C的两条切线互相垂直 |
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2卷引用:吉林省松原市前郭尔罗斯蒙古族自治县第五高级中学2023-2024学年高二上学期期中数学试题
8 . 如图,在正四棱柱
中,
,
,E为棱
上的一个动点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fcd0ced286a0fbc7e4862f8147264277.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e55a2310cbba5e050488cd9296eb195d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d88bf46ad08f9677c37eed1d0369329.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/11/28/556be936-1b54-4018-9aab-92bb43564976.png?resizew=137)
A.![]() | B.三棱锥![]() |
C.存在点E,使得![]() ![]() | D.存在点E,使得![]() ![]() |
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解题方法
9 . 在所有棱长都为2的正四棱锥
中,侧棱
与侧面
和底面
所成的角分别为
,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14462b51a239b9047a545f5a3e6f9333.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7b7c83470489253394bd288d7c920df.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/5b5858ee1ce52b251816757257a11c29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/14462b51a239b9047a545f5a3e6f9333.png)
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10 . 在平面直角坐标系中,已知两个定点
,
,动点P满足
,设动点P的轨迹为曲线C.
(1)求曲线C的方程;
(2)过直线
上一动点作曲线C的两条切线,切点为M,N,探究:直线MN是否过定点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/913f78382630e50543e5f7192cae3ed3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/316ba5cbb31299d683ac6c7dd795db85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ed40bce11976e6d1a7274116c69c379.png)
(1)求曲线C的方程;
(2)过直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/061af1c7a4480004221e253d813efe07.png)
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2023-11-07更新
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231次组卷
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