1 . 泰戈尔说过一句话:世界上最远的距离,不是树枝无法相依,而是相互了望的星星,却没有交会的轨迹;世界上最远的距离,不是星星之间的轨迹,而是纵然轨迹交会,却在转瞬间无处寻见.已知点
,直线
,若某直线上存在点
,使得点
到点
的距离比到直线
的距离小1,则称该直线为“最远距离直线”,则下列所有正确结论的序号是___________ .
①点
的轨迹曲线是一条线段;
②点
的轨迹与直线
是没有交会的轨迹(即两个轨迹没有交点);
③
是“最远距离直线”;
④
不是“最远距离直线”.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6b0fc22034c9db29b23c4cf9faf5af6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fec96b5e74f5c2915a1d34d0fdeb737.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
①点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
②点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fec96b5e74f5c2915a1d34d0fdeb737.png)
③
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7b2153a01730ad91608bfec75fd6be99.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b16f97c8aada9ec7265f4e887f917c71.png)
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2 . 设
为抛物线
的焦点,
,
,
为该抛物线上不同的三点,若
,
为坐标原点,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69429b4c8548ce637c395ad7ec1a77a7.png)
___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac62b1ade07205ae2693ec1ab135def.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/93c3e9592e46422306b8e50ec195326e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/69429b4c8548ce637c395ad7ec1a77a7.png)
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2023-09-05更新
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1125次组卷
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4卷引用:甘肃省陇南市2023届高三一模理科数学试题
3 . 抛物线的光学性质:经焦点的光线由抛物线反射后的光线平行于抛物线的对称轴(即光线在曲线上某一点处反射等效于在这点处切线的反射),过抛物线
上一点
作其切线交准线
于点
,
,垂足为
,抛物线的焦点为
,射线
交
于点
,若
.则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede1745e549ad66e2c9c4968cbc72e15.png)
________ ,![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e3d627f5fbd04271389d503942d233.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4ad41a1f3bd00080f8a3a4e39db7fcc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7ad7ebb852b0cb2c2518e6061290b66.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb26d84907c923278ac4626a9d58947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac480bb785925885de84d8284c428830.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede1745e549ad66e2c9c4968cbc72e15.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6e3d627f5fbd04271389d503942d233.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/30/a9801a5a-3f15-4cbf-8870-7598100a7e45.png?resizew=264)
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4 . 已知抛物线C:
上的点P到焦点的距离比到y轴的距离大2,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df5be1440d099f464ef46dee39de6010.png)
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2023-02-15更新
|
254次组卷
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4卷引用:甘肃省天水市第一中学2022-2023学年高二下学期3月月考数学试题
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5 . 若抛物线
上的点M到焦点的距离为8,则点M到y轴的距离为_____ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c3577bf250e9110428ff34f518fbd9f2.png)
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2023-01-08更新
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6 . 抛物线
焦点为F,准线为l,P为抛物线上一点,
,A为垂足,如果直线
的倾斜角等于
,那么
等于__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/088fcdd595455906a1a7080d630611f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb50782b4a4f59f8798a90086b0d5c6b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be6a6301878fed2a01413020b27310a5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ac654a052f98d1ccb7fede1f122cec3.png)
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2021-11-16更新
|
916次组卷
|
6卷引用:甘肃省兰州市教育局第四片区2022-2023学年高二下学期联片办学期中考试数学试题
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