已知
,
分别是双曲线
(
,
)的左、右焦点,A为左顶点,P为双曲线右支上一点.若
,且
的最小内角为
,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/19f3fa0b40fb0d9b8c62e37316ab3b04.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b6adab224b9e3552b032249e6149671.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/33d776753746914c2410a3946c357f35.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6b86c22b670a8e9f3896f9e8883fbbb.png)
A.双曲线的离心率为![]() | B.双曲线的渐近线方程为![]() |
C.![]() | D.直线![]() |
更新时间:2024-05-24 18:46:37
|
相似题推荐
【推荐1】已知点
为双曲线
上的任意一点,过点
作渐近线的垂线,垂足分别为
,则()
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0017262e45089093f70001cae2c60257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad056c25c0fdcbcc765eb5cbc6093f2b.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() ![]() |
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适中
(0.65)
【推荐2】如图为陕西博物馆收藏的国宝——唐金筐宝钿团花纹金杯,杯身曲线内收,玲珑娇羡,巧夺天工,是唐代金银细作的典范之作.该杯的主体部分可以近似看作是双曲线
的右支与直线
围成的曲边四边形
绕y旋转一周得到的几何体,若该金杯主体部分的上口外直径为
,下底外直径为
,则下列曲线中与双曲线C不是共渐近线的有( )
![](https://img.xkw.com/dksih/QBM/2021/11/11/2849052612091904/2851094424092672/STEM/e5b412fa4cab49beb2dc4ab9ef770ebe.png?resizew=310)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/845fd48965ccfc9055540576057c5749.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a02b1139e07e431b5d4276757b232bad.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/149bc19ed62219813a1738616f65c2fc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02a7ee8078a089987a26bb9df183912d.png)
![](https://img.xkw.com/dksih/QBM/2021/11/11/2849052612091904/2851094424092672/STEM/e5b412fa4cab49beb2dc4ab9ef770ebe.png?resizew=310)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
【推荐1】在平面直角坐标系
中,双曲线
的左、右焦点分别是
,
,渐近线方程为
,M为双曲线E上任意一点,
平分
,且
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/96c4088276acdbede4781b2ebc466366.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/e183c9e44a78ce80452fab17a41c0de1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e22a3c7e465a61e9849dd223261be47c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ee06b900fb34f246b0b310a3127fb96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe955af255473d799edcade0dd186b73.png)
A.双曲线的离心率为![]() |
B.双曲线的标准方程为![]() |
C.点M到两条渐近线的距离之积为![]() |
D.若直线![]() ![]() ![]() |
您最近一年使用:0次
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解题方法
【推荐2】已知双曲线
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0017262e45089093f70001cae2c60257.png)
A.双曲线![]() ![]() |
B.双曲线![]() ![]() |
C.双曲线![]() ![]() |
D.双曲线![]() ![]() |
您最近一年使用:0次
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名校
【推荐1】已知两点
,若直线上存在点
,使
,同时存在点
,使
,则称该直线为“一箭双雕线”,给出下列直线,其中为“一箭双雕线”的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0fd7f9e713469a30727efb081961549.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f80dc3007197390faf32a8264344b28d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fe7809934dda6fe5afbcd9d7008d8236.png)
A.![]() | B.![]() |
C.![]() | D.![]() |
您最近一年使用:0次
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名校
解题方法
【推荐2】双曲线
的一条渐近线方程为
,半焦距为
,则下列论述错误的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/83bf4fd84818abac17a9d21237ac5ce5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4407788e4dc88210bca71a2551d4f2f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/071a7e733d466949ac935b4b8ee8d183.png)
A.双曲线![]() |
B.顶点到渐近线的距离与焦点到渐近线的距离之比为![]() |
C.直线![]() ![]() |
D.过点![]() ![]() |
您最近一年使用:0次