1 . 在△ABC中,若角A,B,C的对边分别为a,b,c,则△ABC的面积
,其中
,称该公式为海伦公式,该公式可推广到平面四边形:若四边形ABCD内接于圆E,且四边长分别为a,b,c,d,则四边形ABCD的面积
,其中
,若面积为
的四边形ABCD内接于圆E,
,
,点C,D在x轴上方,且
,
,则圆E的标准方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8dab06d51bc8c3b659ba7abaa67c6f2f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0f2d50ca5cc415bf6721faf2221d626.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3f3d5d27c3574355097050c813ebe8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/575008e0b065f0d535251a041203f99f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e7dc603317eb90974c75efec9f02b1b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0929421a6188c3122442866b0b85a5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54fe2c124d5bbbbe666ee145cd454b6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89488b28105f7612b3da3b90c1b935e8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c7fcbc06a3269890bb9971a48ac2d35.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2 . 已知
,
,圆M经过A,B两点,且圆的周长被x轴平分,则圆M的标准方程为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a0d256036d52b784b8c68bfc8db69d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e154f6a67448b1799268115612399151.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
3 . 已知圆D:
与x轴相交于A、B两点,且圆C:
,点
.若圆C与圆D相外切,则
的最大值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/835b6de56d01d3c6a6988542409ca286.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b75e2850bb27c38d07a97495b41c3342.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/149ee9d2da588990c54ec5199ad221ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/149693be1d17def7dda655114711d4d6.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
名校
解题方法
4 . 已知A为圆
上的动点,B为圆
上的动点,P为直线
上的动点,则
的最小值为_______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d80db2b0d407b8f80645854bb724bfb5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f9ad684e3777ec97325ab2f5c3b48feb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8ca5ca5c874676e791ece6429ebe707d.png)
您最近一年使用:0次
2024-04-07更新
|
127次组卷
|
2卷引用:河南省部分学校(金科)大联考2023~2024学年高二下学期第一次质量检测数学试题
名校
解题方法
5 . 已知圆
,直线
,若圆
上任意一点关于直线
的对称点仍在圆
上,则点
必在( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c05b9412351e4b26794281e44e2de579.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62ecb418cfe2858bbd8eeda0fc5f5711.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4562f3225c98cf5cb11b47d98c9cc9c3.png)
A.一个离心率为![]() | B.一个离心率为2的双曲线上 |
C.一个离心率为![]() | D.一个离心率为![]() |
您最近一年使用:0次
2024-03-25更新
|
512次组卷
|
4卷引用:上海市实验学校2023-2024学年高二下学期4月月考数学试卷
解题方法
6 . 已知点M在抛物线
上运动,过点M的两直线
,
与圆
相切,切点分别为A,B,则当
取最小值时,点M的坐标为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d087313c8bc308b2a5832d6d3dd85174.png)
![](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/d4569ddc5bcf091264c8df01d764fe5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/228bf1b66b2651cb40ec6912fc84b115.png)
您最近一年使用:0次
2024-03-21更新
|
331次组卷
|
3卷引用:四川省成都市成都七中万达学校2023-2024学年高二下学期3月月考数学试题
7 . 圆
的圆心在直线
上,且与直线
相切于点
.
(1)试求圆
的方程;
(2)从点
发出的光线经直线
反射后可以照在圆
上,试求入射光线所在直线的斜率的取值范围.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4407788e4dc88210bca71a2551d4f2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5558c083d34cbb0a58d3ce1dc6f5778e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/06ebd2da016e7029c4dd72b9e377190c.png)
(1)试求圆
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
(2)从点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac5225ff6aa3c06ff5c8437f88093f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d77f5191798242b7b9b88a75e17e4425.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
您最近一年使用:0次
名校
8 . 已知圆C的圆心在直线
上,且过
,
两点.
(1)求圆C的方程;
(2)已知l:
,若直线l与圆C相切,求实数m的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/017ebcd839f65312db83ca09d42b14b6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e6c8170dd3ad55d366c866dfa21c7df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9aab5da44c04986fec56fe0429e7bd38.png)
(1)求圆C的方程;
(2)已知l:
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3912a616d279f26a679ecc768c722b2.png)
您最近一年使用:0次
9 . 由直线
:
上的一点
向圆
:
引两条切线
,
,A,
是切点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1b979396a703fb14715ba39232f5786a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/229d3c7defc6ba917177d434d02ab995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd33764ff4efddfe11a98a609753715c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2be49c37e30a3ced0364c3e74d8c687.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
A.线段![]() ![]() |
B.四边形![]() ![]() |
C.![]() ![]() |
D.当点![]() ![]() ![]() ![]() |
您最近一年使用:0次
10 . 已知圆
和圆
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73e25b317906ca42ab1c73779cb462ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/800cc7f86ac1d6474e945a8a010336ef.png)
A.两圆的公共弦所在的直线方程为![]() |
B.圆![]() ![]() |
C.圆![]() ![]() ![]() |
D.若点![]() ![]() ![]() ![]() ![]() |
您最近一年使用:0次