我们通常称离心率为
的椭圆为“黄金椭圆”.如图,已知椭圆
,A1,A2分别为左、右顶点,B1,B2分别为上、下顶点,F1,F2分别为左、右焦点,P为椭圆上一点,现给出以下四个条件:①
;②
;③
轴,且
;④四边形的
的内切圆过焦点
,
.其中能使椭圆C为“黄金椭圆”的条件是______ 和______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/029d393bb07b7140905b85f550519de4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9f9e2804e185c76610e76f5fca07d5e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/78a2d6cac4d3fb5ca9072d1431c28e11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/385b624c6c46509e20aae15577d91997.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0aa9a6be97b5f275d55697fd3cd0a442.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a87155e4c733962a4f25f639e8e9c51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c80eaed4257dc101cc12a838803cfa7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/12/28/a83b8e4f-cc72-4ff4-b9ab-aab277e035c4.png?resizew=245)
更新时间:2022-01-19 16:44:55
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【推荐1】点P在椭圆7x2+4y2=28上,则点P到直线3x-2y-16=0的距离的最大值为________
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【推荐2】已知圆
:
,过点
的直线
与圆
相交于
,
两点,当
面积最大时,直线
的斜率为______ .(写出一个即可)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad59ac87ecff20a9aec7255b61cd8039.png)
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![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
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【推荐1】如图,椭圆
的左右焦点分别为
,过
的直线交椭圆于
两点,且
,若
,则椭圆的离心率![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ce2b47812fce4b17fd813d0e4cce21.png)
_________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7dd54b9df3402ad91e2d34c40efe0c7a.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/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9791f9921b0e33237809e8839992a8eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0b5f2da500b58ca30ee4a12879f051f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/47ce2b47812fce4b17fd813d0e4cce21.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/9/5/b030ffdd-1812-4d16-a466-15e464e74d49.png?resizew=240)
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【推荐2】在△
中,
,
若以
为焦点的椭圆经过点
,则该椭圆的离心率![](https://img.xkw.com/dksih/QBM/2016/7/22/1572933762506752/1572933768568832/STEM/796a2d0da61e4c658d28f83de6881f84.png?resizew=25)
___________ .
![](https://img.xkw.com/dksih/QBM/2016/7/22/1572933762506752/1572933768568832/STEM/d56f3177b9454cf5a62a1eedba4ffa59.png?resizew=37)
![](https://img.xkw.com/dksih/QBM/2016/7/22/1572933762506752/1572933768568832/STEM/4a9655595cba474184547a68f6af44a8.png?resizew=65)
![](https://img.xkw.com/dksih/QBM/2016/7/22/1572933762506752/1572933768568832/STEM/71cfc06c91ee4badbce47518b6ad933a.png?resizew=88)
![](https://img.xkw.com/dksih/QBM/2016/7/22/1572933762506752/1572933768568832/STEM/0323ecb5901b4d5bbfc6fc360add60a1.png?resizew=32)
![](https://img.xkw.com/dksih/QBM/2016/7/22/1572933762506752/1572933768568832/STEM/c0dfe0e6c75845d6a6ea656e3052165e.png?resizew=16)
![](https://img.xkw.com/dksih/QBM/2016/7/22/1572933762506752/1572933768568832/STEM/796a2d0da61e4c658d28f83de6881f84.png?resizew=25)
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