名校
解题方法
1 . 已知椭圆C:
的右焦点为
,右顶点为A,直线l:
与x轴交于点M,且
,
(1)求C的方程;
(2)B为l上的动点,过B作C的两条切线,分别交y轴于点P,Q,
①证明:直线BP,BF,BQ的斜率成等差数列;
②⊙N经过B,P,Q三点,是否存在点B,使得,
?若存在,求
;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092fd1b1d33979818300cd2e3699bff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f23d29646155e27b172ecdf263e2d702.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/51eecbc96a8c7c9fa3c8c175931731b2.png)
(1)求C的方程;
(2)B为l上的动点,过B作C的两条切线,分别交y轴于点P,Q,
①证明:直线BP,BF,BQ的斜率成等差数列;
②⊙N经过B,P,Q三点,是否存在点B,使得,
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d484860d9392ecacc942edecd37b6dd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6c2f99ac2b6bc91b983628b68a5cd0d.png)
您最近一年使用:0次
2024-03-22更新
|
2364次组卷
|
6卷引用:福建省晋江市第一中学2023-2024学年高二下学期期中考试数学试卷
2 . 已知椭圆
的左右焦点分别为
,过
的直线交椭圆于
两点,设
,
,
,
,已知
成等差数列,公差为d,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a032dd225bdd793172220c494c2054e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d2a97987f71835f519b462f5b8f5957.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3a1467ecf286e3cadaf5aa006606f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c6e1c860931343d1d9e2241d559067cc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fee7cea9db31b586ade7a902fee3a9d0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5931a0e55cd65d4bc2ff4650a1395d0f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d9f637c37d81412df21d7fb6211681.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/97c14d9ae06f864498048d55088ff4e6.png)
A.![]() | B.若![]() ![]() | C.![]() | D.![]() |
您最近一年使用:0次
2023-02-17更新
|
1347次组卷
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3卷引用:福建省南安市侨光中学2023-2024学年高二下学期第1次阶段考试(4月)数学试题