1 . 直线
的倾斜角为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7640f866408cc0f9afd7bc2a381fe49b.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2 . 若方程
表示圆,则实数
的取值范围为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67a7efb8ec6837d6e74e7d8c363c72d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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3 . 已知向量
,
,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5de5e9ef28471e6170e04ebc8fb43c12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0878cca08f63e15af920a808bf44b95e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c69b378027bbb034eaa0a9f6ade483d.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
4 . 若直线
与
平行,则
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67d18d45b66c887a3e99b4f283cce931.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a271c2227cd1d117a6f6f95fc8e322df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.0 | B.2 | C.3 | D.2或3 |
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解题方法
5 . 已知椭圆
经过点
,且离心率为
.
(1)求椭圆
的方程;
(2)若直线
与椭圆
相交于A,B两点,线段AB的中点为
,是否存在常数
,使
恒成立,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e7e5578ca83f5bd5c285994061b9c015.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a77cb0a28d72b7e7eacc877e97bc7ff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d5989c84e320b504511f23eeb6e7357.png)
(1)求椭圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(2)若直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6d0576aaab3ebd5c197f6606e0413048.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adea98f526080b07a8f2df06a0c58651.png)
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解题方法
6 . 如图,在四棱锥
中,
平面ABCD,底面ABCD是直角梯形,其中
∥
,
,
,
,
为棱BC上的点,且
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/1/ab925a97-e4c7-4665-aa71-a9ad32cccf92.png?resizew=154)
(1)求证:
平面PAC;
(2)求点
到平面PCD的距离;
(3)设
为棱CP上的点(不与C,P重合),且直线QE与平面PAC所成角的正弦值为
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0585b6c0f156eecf9662b9846d4eb693.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccd4fd4b7a4d6b8ca0c5827c055a9ce7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03902478df1a55bc99703210bccab910.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1134c8e3440abb6cd385af2c169037fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/abfb2735e1683a6ae86b5b97a0032e4f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00bab2c27eac56fffa4cd7dbe1dcdf1a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b41744ec71119e7264ef9673a35805a8.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/12/1/ab925a97-e4c7-4665-aa71-a9ad32cccf92.png?resizew=154)
(1)求证:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8d2d217e9bcd059908f117dfc4d4259.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(3)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dee14db57f0c762aad845cf5b4a243c0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c2942447b6af4f2749668439d5ee03a7.png)
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7 . 已知直线
过原点,且与
平行.
(1)求直线
的方程;
(2)求
与
间的距离;
(3)若圆
经过点
,
,并且被直线
平分,求圆
的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c630b3681bfe62130efb4d63963ab1d.png)
(1)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
(3)若圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c9ece4ff94b2b1c4cc7ee25000f996f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/403e9c8769f452f0c9e69a178b3c0cb4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
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解题方法
8 . 直线
与
,若
,则实数![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb66ef80d2617520eb34e9d607e77b29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f36409f299fd75e67b2ce15ec491eb78.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ce08b357f11ef44c3e8207ac574422a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/380bbacf854e30e2e747fc286d2b9997.png)
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9 . 已知四面体ABCD,G是CD的中点,连接AG,则
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10 . 直线
在两坐标轴上的截距之和为________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/31fd4116edf8a23a4a53f2fe6c9ee4e3.png)
您最近一年使用:0次
2023-11-09更新
|
289次组卷
|
2卷引用:天津市北辰区2023-2024学年高二上学期11月期中数学试题