1 . 已知函数
,过点
作函数
图象的两条切线,切点分别为M,N.则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a3f58722394cad3df7234b543be4587.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e9b5e076078240e0c5ad9763a9824d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/942c2141d01bde6b48210c56a17fc75e.png)
A.![]() | B.直线MN的方程为![]() |
C.![]() | D.![]() ![]() |
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解题方法
2 . 已知
的内角平分线与
轴相交于点
.
(1)求
的外接圆的方程;
(2)求点
的坐标;
(3)若
为
的外接圆劣弧
上一动点,
的内角平分线与直线
相交于点
,记直线
的斜率为
,直线
的斜率为
,当
时,判断点
与经过
三点的圆的位置关系,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09c5664abf95482cb9ac51fedb0119d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
(2)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(3)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed41d321f4c0717ac5b443aad942d9a7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d39b8d91afc34e4a9b0fdbb6bafb9087.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20a541b81584a032f571159ea152c85a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63a253c7fdf589ee3dece13d5b5b5732.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f99db23a9ae49bf1ee2431d2761e4cfa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55af506ca4f1714d9674c6d4e05db8ea.png)
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3 . 设平面点集
包含于
,若按照某对应法则
,使得
中每一点
都有唯一的实数
与之对应,则称
为在
上的二元函数,且称
为
的定义域,
对应的值
为
在点
的函数值,记作
,若二元函数
,其中
,
,则二元函数
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e81e59019989b7dc2fb59b037ef6e010.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca4ff0af96ea467337cb30c4c765b5f7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e664fa90a859ab05fe49972a474a5fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6ceede8feca959ee05b956f3cf120b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55a12a30935c79ae769818043a496f53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f06b89057733aab6452c7953b5f262e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f1c3c1ed4fb65ab9505ad8078d8d0fb5.png)
A.5 | B.6 | C.7 | D.8 |
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2021-10-14更新
|
739次组卷
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4卷引用:四川省南充高级中学2021-2022学年高三上学期月考四数学(理)试题
四川省南充高级中学2021-2022学年高三上学期月考四数学(理)试题山西省运城市教育发展联盟2021-2022学年高二上学期10月月考数学试题(已下线)专题9-1 直线与方程题型归类-3(已下线)专题04 直线方程综合应用难题(12题型)-【巅峰课堂】2023-2024学年高二数学上学期期中期末复习讲练测(人教A版2019选择性必修第一册)
4 . 某市的两条直线公路OM,ON所围成的角形区域内有一村庄
,该市为响应党中央的乡村振兴战略,拟过村庄
修建一条公路,使之围成一个等腰三角形区域
.在区域
内建设高效生态农业示范带,促进本地农村经济发展.现利用无人机在空中测得
到公路OM,ON的距离均为10千米,
,且
.设计人员方便规划计算,在图纸上以
为坐标原点,以直线
为
轴建立如图所示平面直角坐标系
.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/25/fdf24d4a-2633-4576-888b-38dd704299ff.png?resizew=211)
(1)求点
的坐标;
(2)求出公路
的长度及该示范带的总面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb802b0cd77d772dceff0d9ff6c879ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb802b0cd77d772dceff0d9ff6c879ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a84261efd0ff6fafdc55cd446c1a5f68.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ebe6a6476bc99d568e2844d32fee8d1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/2/25/fdf24d4a-2633-4576-888b-38dd704299ff.png?resizew=211)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)求出公路
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
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5 . 过点
的直线
与曲线
交于
两点,且满足
,则直线
的斜率为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c741964f3a1bec39a6f058d8284475.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4917bc78508f92511c3a012637a24603.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39ad97d4b3ee2fe1a5f4d9a0f39e8d85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5acbda2811e4a1f64859a8e643fd7e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2022-11-15更新
|
423次组卷
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3卷引用:四川省成都市第七中学2022-2023学年高二上学期期中数学理科试题
解题方法
6 . 已知点
到直线
的距离等于
,其中
.设平面内与点F和直线
距离相等的点的轨迹为C.
(1)求C的方程;
(2)设
与C在第一象限的交点为A,
与x轴的交点为B,求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6f6d06b9a4d3a891ea7c986b1ab4e925.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c7c90d155f309e54303f68d91a6b5d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18a4c25fa7b7754fc55548e2497a9d6e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0bae54510610d3118cc785489001096.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/adc3624ac3279fa0d23e45c6259f1864.png)
(1)求C的方程;
(2)设
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/004104bafb5f30338123d4ea2b7fedde.png)
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2022-12-26更新
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386次组卷
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2卷引用:四川省2022年普通高等学校高职教育单独招生文化考试(普高类)数学试题
解题方法
7 . 根据下列条件,求曲线的方程.
(1)若圆与
轴相切,且圆心为
关于直线
的对称点,求圆的标准方程.
(2)双曲线的焦点在
轴上,焦点为
,
,焦距为
,双曲线的右焦点到一条渐近线的距离为
,求双曲线的标准方程.
(1)若圆与
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9c730266ecf448c14608e24d37b986.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e3f52cb58b6bc5d71030463ba7e28134.png)
(2)双曲线的焦点在
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b10e8abf8690e4b129466ddb918bcc94.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf298f00799cbf34b4db26f5f63af92f.png)
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2023-12-20更新
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2卷引用:四川省凉山彝族自治州西昌市2022-2023 学年高二上学期期中检测文科数学试卷
名校
解题方法
8 . 设直线
与直线
交于点
,已知点
,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/946af29b5bd61926ad3ba61bdf4f6981.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c35fece5593f3053dab27971e9d3b7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7867d711cb6a922fa2e0a94eb87b32f.png)
A.当![]() ![]() |
B.当![]() ![]() |
C.当![]() ![]() |
D.当![]() ![]() |
您最近一年使用:0次
2022-11-24更新
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2卷引用:四川省成都市石室中学2023-2024学年高二上学期期末综合复习数学试题(一)
9 . 若曲线
存在到直线
距离相等的点,则称
相对直线
“互关”.已知曲线
相对直线
“互关”,则实数
的取值范围是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e9feabc99f62ee569b460e61526e2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21e9feabc99f62ee569b460e61526e2e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b26c296102e7fd65a40729616d9a2f29.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f7053364523e655abed4a0c887fae69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a6936d370d6a238a608ca56f87198de.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
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2021-12-12更新
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629次组卷
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3卷引用:四川省绵阳南山中学2021-2022学年高二上学期12月月考数学(理)试题
四川省绵阳南山中学2021-2022学年高二上学期12月月考数学(理)试题四川省绵阳市江油中学2021-2022学年高二上学期第三次阶段考试数学(理)试题(已下线)解密05导数及其应用(分层训练)-【高频考点解密】2022年高考数学二轮复习讲义+分层训练(全国通用)
解题方法
10 . 已知
,
是椭圆C:
的左、右焦点,上顶点为
,直线l:
与C交于点M,N,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e78f1a9cc4dedc05c175ab99b288b9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/43a71fc9c0068109dad1382354570665.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/952ce807cb90fe0025990797f5b12b59.png)
A.直线l恒过点![]() | B.当直线![]() ![]() |
C.![]() | D.![]() |
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