1 . 判断下列各对直线是否垂直.
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8734c2c51fd8db5255e08715142cb17.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4da95f9167ada728abc4a2cc9fb1ca9.png)
您最近一年使用:0次
2 . 已知平面直角坐标系中的四条直线
如图所示,设它们的倾斜角分别为
,而且斜率分别为
.分别将倾斜角和斜率按照从小到大的顺序排列.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a7122f2ae84bff5b73095f78cafe04f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06df4593e727842be7023e4fa86bdad3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c65902e35640cf2c8d4111c36b40145.png)
您最近一年使用:0次
23-24高二上·全国·课后作业
3 . 写出满足下列条件的直线的斜截式方程:
(1)斜率是
,在y轴上的截距是
;
(2)倾斜角是
,在y轴上的截距是5.
(1)斜率是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/274a9dc37509f01c2606fb3086a46f4f.png)
(2)倾斜角是
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
您最近一年使用:0次
23-24高二上·全国·课后作业
解题方法
4 . 写出满足下列条件的直线的点斜式方程:
(1)经过点
,斜率为3;
(2)经过点
,倾斜角是
;
(3)经过点
,倾斜角是
.
(1)经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0c21dde2ad1e31c337bfb78c810ccb5.png)
(2)经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08ef03f452410ab19c6246567c427178.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/037fb348109dc2063a268b10eb925a57.png)
(3)经过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a630a706ad5c594a157111613c9fb80d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0211da37e92f915e781691296578ba0.png)
您最近一年使用:0次
5 . 已知直线
与圆
交于A,B两点,过A,B分别作l的垂线与x轴交于C,D两点,若
,求
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9e6f647c72f68165cfce67fe1f4af4ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0128793bbbaabe8301b23e4c96ac8583.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/84cef568cfe2fc12a4dec11533ada274.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/316699c45f1c088945d0cd3bb46eecfb.png)
您最近一年使用:0次
23-24高二上·全国·课后作业
6 . 已知点
,
,
,点Q是线段AB上的动点.
(1)求直线PQ的斜率的范围;
(2)求直线PQ的倾斜角的范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee9c730266ecf448c14608e24d37b986.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/caa6d8c9ab3d942b005965bc18dbf5ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e9b5e076078240e0c5ad9763a9824d3.png)
(1)求直线PQ的斜率的范围;
(2)求直线PQ的倾斜角的范围.
您最近一年使用:0次
2023-09-11更新
|
838次组卷
|
5卷引用:2.1 直线的斜率
(已下线)2.1 直线的斜率湘教版(2019)选择性必修第一册课本习题 习题2.1辽宁省抚顺市德才高级中学2023-2024学年高二上学期第一次月考数学试题(已下线)2.1.1 倾斜角与斜率【第一练】(已下线)专题11 直线的倾斜角与斜率6种常见考法归类 - 【考点通关】2023-2024学年高二数学高频考点与解题策略(人教A版2019选择性必修第一册)
7 . 求经过下列两点的直线的斜率、倾斜角:
(1)
,
;
(2)
,
;
(3)
,
;
(4)
,
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d7a999c36de5c9a9ce876a4a56fa34c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ffe47cabbc991709fe67404b143c89a0.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/663e2a3c6f6988e81c4ffcf1bddd1c4c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb4e71593587f76bc6f8cdd3dc54e605.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/48befa5d90fafd8bfdb6c90fd241ebfb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49cbc4fcfff14adef050edefab2994db.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/88c3a2f5b0702ea9fbb9dc8904579737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83c6155a8a04ffd4c305add626074fea.png)
您最近一年使用:0次
23-24高二上·全国·课后作业
8 . 如图,已知三点
,
,
.
(2)求直线BC,CA的倾斜角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c179fe7eff7abfdd092b63c9c1b82d0c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89470068f2cfa4229e471c50065c63ad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/743c08b3555fca31cd299d6d90242fba.png)
(2)求直线BC,CA的倾斜角.
您最近一年使用:0次
2023-09-11更新
|
360次组卷
|
5卷引用:2.1 直线的斜率
(已下线)2.1 直线的斜率湘教版(2019)选择性必修第一册课本例题2.1 直线的斜率新疆维吾尔自治区喀什地区巴楚县2023-2024学年高二上学期10月期中考试数学试题(已下线)2.1.1 倾斜角与斜率【第一练】(已下线)专题1.1 直线的斜率和倾角(2个考点七大题型)-2023-2024学年高二数学《重难点题型·高分突破》(苏教版2019选择性必修第一册)
9 . 已知直线的倾斜角,求直线的斜率:
(1)
;
(2)
;
(3)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac1a63ab608517bb10aa036783dfb51f.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0211da37e92f915e781691296578ba0.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76dde16b05fba6fc61779511e63f34fe.png)
您最近一年使用:0次
10 . 如图,已知
,
,
,求直线
,
,
的斜率,并判断这些直线的倾斜角是锐角还是钝角.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ceec39aaaccbeaac9a4a5bdbb0f0e9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b38bd2f4ff543f31e251710e2133256.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/027edec53efa9c6a414fe55e6f8ae026.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9abaeba15f3abdd877bc701af52c5cd9.png)
您最近一年使用:0次