名校
1 . 给出下列四个命题
①已知
为椭圆
上任意一点,
,
是椭圆的两个焦点,则
的周长是8;
②已知
是双曲线
上任意一点,
是双曲线的右焦点,则
;
③已知直线
过抛物线
的焦点
,且
与
交于
,
,
,
两点,则
;
④椭圆具有这样的光学性质:从椭圆的一个焦点出发的光线,经椭圆反射后,反射光线经过椭圆的另一个焦点,今有一个水平放置的椭圆形台球盘,点
,
是它的焦点,长轴长为
,焦距为
,若静放在点
的小球(小球的半径忽略不计)从点
沿直线出发则经椭圆壁反射后第一次回到点
时,小球经过的路程恰好是
.
其中正确命题的序号为__ (请将所有正确命题的序号都填上)
①已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c82e7d9f4f7ace849e09e9adcb786b7f.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/0a9df1061c3ba5151ba2f7359acaf356.png)
②已知
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dad0c75ce33673ec4c425896e8619e4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bebcff96145edc12b6146acbe99ed89e.png)
③已知直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/82ea1be9b9b6bb12afa7e1ce703d1603.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/b5a54e0b4872cabdc0b07ea9380e4de5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a350eb41c3b7e4face9c3299eff9d49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b8e72f73db207c3040f143d837d5995.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/24529eadaef974ec0625f8ca40682e51.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bf2c0716fb34f24ca1956700ee849cc.png)
④椭圆具有这样的光学性质:从椭圆的一个焦点出发的光线,经椭圆反射后,反射光线经过椭圆的另一个焦点,今有一个水平放置的椭圆形台球盘,点
![](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/878e89b6eca35e34c863e832a2c661db.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8dcc91c2ffb5571eaf944c34f5e8ffe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0d2a7b13d95229e2e938514739054541.png)
其中正确命题的序号为
您最近一年使用:0次
2020-01-08更新
|
338次组卷
|
2卷引用:天津市滨海新区滨海新区汉沽第一中学2019-2020学年高二上学期期末数学试题
2 . 给出下列四个命题
已知P为椭圆
上任意一点,
,
是椭圆的两个焦点,则
的范围是
;
已知M是双曲线
上任意一点,
是双曲线的右焦点,则
;
已知直线l过抛物线C:
的焦点F,且l与C交于
,
两点,则
;
椭圆具有这样的光学性质:从椭圆的一个焦点出发的光线,经椭圆反射后,反射光线经过椭圆的另一个焦点,今有一个水平放置的椭圆形台球盘,点
,
是它的焦点,长轴长为2a,焦距为2c,若静放在点
的小球
小球的半径忽略不计
从点
沿直线出发则经椭圆壁反射后第一次回到点
时,小球经过的路程恰好是4a.
其中正确命题的序号为______
请将所有正确命题的序号都填上
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e1c9ae241fd78126274c65e17990c88.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/45dc12527b1ac520121e7e42b114c539.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a055d94c4c69a7f867c0e2b69bd8041.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1996f60e2c55e0caa2b095ac23ab2b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ee51e2bac715aa1c5dbb4d109b9a115.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9ec7369765a42dfa8ac1e16be9d1cf96.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5c650fe55b7603f106c53ca2423451c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/21bb38218bac3f428548d7070b699df4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1996f60e2c55e0caa2b095ac23ab2b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04fe34637dc2b288decdf7998b592f55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f82e415812cca9545611c0faa0c01b1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93be9f8fb5fc2a0908a3389f08f6c57b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db444620748560d5b3e90cead81dc4ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5a523345916a439fca79a5d56e3014b9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4b56aef1fc3e2160072ebec70e413c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d8b8edd94bc4d5d517ec77e56800e41.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a055d94c4c69a7f867c0e2b69bd8041.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1996f60e2c55e0caa2b095ac23ab2b5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a055d94c4c69a7f867c0e2b69bd8041.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a055d94c4c69a7f867c0e2b69bd8041.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a055d94c4c69a7f867c0e2b69bd8041.png)
其中正确命题的序号为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11d71379442f28c038d367d49422cf90.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/987517758fad59f6f695761deb2a5ebd.png)
您最近一年使用:0次