名校
解题方法
1 . 已知两点
、
,给出下列4个曲线方程:①
;②
;③
;④
.则曲线上存在点P满足
的曲线方程是___________ (写出所有满足条件的曲线的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d38d5f0ebc0216366b9073caaec00028.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f85a4d8146331da9039869df26e4de4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cf96f5afd9d99345bcdfbbaa1ff64f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08227ca941898eb34941f446ca8b1de8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94e663aef0769d2cd7d2215af4536a3d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37379a2c05ec7a8d219025abe977fe9b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/52357793ed6f9207e84533c63eb9e8de.png)
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21-22高二上·全国·课前预习
2 . 根据下列给定的条件,判定直线
与直线
是否平行或重合:
(1)
经过点
,
;
经过点
,
;( )
(2)
的斜率为
,
经过点
,
;( )
(3)
平行于
轴,
经过点
,
;( )
(4)
经过点
,
,
经过点
,
.( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98b2cc0d2f6d3eee9a33db83e0c0830d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee07d86765c4fb74ac647742f16bd57c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/318f2f6154dc3463b88fe889a5403c9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eae3b4a7bac077d82961d3ad16d398cf.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3389f53711264b0acba3ba6019f8b908.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e18e9b80fdeaa8bd3cf97b3c214448f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/466e8c438084aef563c6aaeff3bca583.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dec3fdb2722c0bcac5303546e87152a0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0643ae2942b740d78b7ace0d4e630ac.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/887e587a4fb083a37f3d84f42874ec16.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c762388d519c8da50ca40786d4966e8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7883411e44a1f9c532b57c02f4ee9592.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c112f1fb1f882a06b78fcdf8bcb1111.png)
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名校
解题方法
3 . 设
是双曲线
上一点,
是
的左焦点,
是
右支上的动点,则
的离心率为______ ,
面积的取值范围是_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b66d95c91a2a594266c22d341bfabc0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5e4e568d9cd57c442f011a787ab8aaf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6380c54a58ed53ebe8977402b42c960.png)
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2021-10-07更新
|
417次组卷
|
2卷引用:河南省2020-2021学年高二下学期期末数学(理)试题
名校
解题方法
4 . 已知两点
,
,给出下列曲线方程①
,②
,③
,④
,在曲线上存在点
满足
的所有曲线方程是________ .(写出所以正确的编号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/069d46cc355e894be0676629f4314c2c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/055e24fb9991ac8b45b316145db16562.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cf96f5afd9d99345bcdfbbaa1ff64f3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49137970108f50350a3211aa0281faaf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/271e595c257e4c0ade90a9bbbf0e6b0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ea74737939c0f94c91229a7098f36ec.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27c5363cbfe3505c6fee17a41d7d94b5.png)
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2020-12-17更新
|
108次组卷
|
2卷引用:陕西省西安市长安区第一中学2020-2021学年高二上学期期中数学(文)试题
19-20高一·全国·课后作业
5 . 已知四个命题:①
是函数
是奇函数的必要非充分条件;②若
、
,则
是
的充分非必要条件;③
、
是
的两内角,则
是
的充要条件;④两条直线的斜率相等是这两条直线平行的既不充分也不必要条件.其中为真命题的有_________ (把你认为是真命题的序号都填上).
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7cd8e8956713d6588b9e7ecff3c8aea0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81fbf4fa588e619ff6399c7a21b8166c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54dad48527a47eab4a5916ab0421cc71.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dccf7fdc9ff5e9e6ed897ec3a716a35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69245c459dcf2d67cd2c24557abc92ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/98d0b9c0c01b49be6e08a111568f77f4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62b2f44bda467c786287c7356d4ed9f7.png)
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解题方法
6 . 将一颗骰子投掷两次,第一次出现的点数记为a,第二次出现的点数记为b,设两条直线l1:ax+by=2与l2:x+2y=2平行的概率为P1,相交的概率为P2,则点P(36P1,36P2)与圆C:x2+y2=1 098的位置关系是______ .
您最近一年使用:0次
2018·江苏南通·一模
7 . “
”是“两直线
和
平行”的_______ 条件.(在“充分不必要”、“必要不充分”、“充要”、“既不充分也不必要”中选一个填空)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d8a3cc8c48bf54ec8252e5dce6867754.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/350bdde089aaf91f46f904b85f10124d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f2d63617ee94709699d6435216fc0a02.png)
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2018-01-18更新
|
508次组卷
|
4卷引用:江苏省如皋市2017--2018学年度高三年级第一学期教学质量调研(三)数学(理)试题
(已下线)江苏省如皋市2017--2018学年度高三年级第一学期教学质量调研(三)数学(理)试题(已下线)2018年高考二轮复习测试专项【苏教版】专题八 解析几何(已下线)2018年高考数学备考中等生百日捷进提升系列(捷进提升篇)专题09 直线和圆的方程(已下线)1.3两直线平行与垂直(第2课时 利用一般式判定两直线平行与垂直)(备作业)-【上好课】2021-2022学年高二数学同步备课系列(苏教版2019选择性必修第一册)
8 . 下面结论中,正确命题的个数为_____________.
①当直线l1和l2斜率都存在时,一定有k1=k2⇒l1∥l2.
②如果两条直线l1与l2垂直,则它们的斜率之积一定等于-1.
③已知直线l1:A1x+B1y+C1=0,l2:A2x+B2y+C2=0(A1、B1、C1、A2、B2、C2为常数),若直线l1⊥l2,则A1A2+B1B2=0.
④点P(x0,y0)到直线y=kx+b的距离为
.
⑤直线外一点与直线上一点的距离的最小值就是点到直线的距离.
⑥若点A,B关于直线l:y=kx+b(k≠0)对称,则直线AB的斜率等于
,且线段AB的中点在直线l上.
①当直线l1和l2斜率都存在时,一定有k1=k2⇒l1∥l2.
②如果两条直线l1与l2垂直,则它们的斜率之积一定等于-1.
③已知直线l1:A1x+B1y+C1=0,l2:A2x+B2y+C2=0(A1、B1、C1、A2、B2、C2为常数),若直线l1⊥l2,则A1A2+B1B2=0.
④点P(x0,y0)到直线y=kx+b的距离为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8a8e81a7c7b7b527b13886478dd160c.png)
⑤直线外一点与直线上一点的距离的最小值就是点到直线的距离.
⑥若点A,B关于直线l:y=kx+b(k≠0)对称,则直线AB的斜率等于
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d8f22540e5479893885f87792ff0b36.png)
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