1 . 已知抛物线
,
为其焦点,
为其准线,过
任作一条直线交抛物线于
两点,
分别为
在
上的射影,
为
的中点,给出下列命题:
①
;②
;③
//
;
④
与
的交点在
轴上;⑤
与
交于原点.
其中真命题是__________ .(写出所有真命题的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbb4cda8c303228a587b02d47f6dad53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be2e1b8d2be04779fa5c6ad22f650a21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbb4cda8c303228a587b02d47f6dad53.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/9fc890342ba48792f572f99e3f8c033a.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827cd8b0355ac39cefe561451c2b8101.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de7af3d5765382269f380d39b0ffc9d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00be4f773a29342ffc87bcb1e65af540.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0e65e147b109f2bbfd3a3f502bbc3a.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00be4f773a29342ffc87bcb1e65af540.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59ac8c5700ce2de9a140c4adea742168.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9806df6df27bf715c81c4a93fc6517c5.png)
其中真命题是
您最近一年使用:0次
2 . 对于曲线
,若存在非负实常数
和
,使得曲线
上任意一点
有
成立(其中
为坐标原点),则称曲线
为既有外界又有内界的曲线,简称“有界曲线”,并将最小的外界
成为曲线
的外确界,最大的内界
成为曲线
的内确界.
(1)曲线
与曲线
是否为“有界曲线”?若是,求出其外确界与内确界;若不是,请说明理由;
(2)已知曲线
上任意一点
到定点
,
的距离之积为常数
,求曲线
的外确界与内确界.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac6d30756abdd6ba7037ea63e20ecac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/757d9d3f6fca9391b2960775e35933c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8fb44db1dc864ff4901be1e10da79747.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/26e93d8fb77f5bd2c0fc690752dfd771.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd6d5018b988d9843479cfdcfd3a522d.png)
(2)已知曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aee82283f06cedef32eb15b87964f5d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9b9bece414af7ecb2d796dc8a6f549e1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/27e62a44b8712ce4483b8710cda0dc1c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a6ec1e326713ddcd6dd66a24a809bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
您最近一年使用:0次
2011·黑龙江·一模
名校
3 . 已知抛物线
,
为其焦点,
为其准线,过
任作一条直线交抛物线于
两点,
分别为
在
上的射影,
为
的中点,给出下列命题:
①
;②
;③
//
;
④
与
的交点在
轴上;⑤
与
交于原点.
其中真命题是__________ .(写出所有真命题的序号)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.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/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbb4cda8c303228a587b02d47f6dad53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be2e1b8d2be04779fa5c6ad22f650a21.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbb4cda8c303228a587b02d47f6dad53.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/9fc890342ba48792f572f99e3f8c033a.png)
①
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/827cd8b0355ac39cefe561451c2b8101.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/de7af3d5765382269f380d39b0ffc9d2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00be4f773a29342ffc87bcb1e65af540.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2f0e65e147b109f2bbfd3a3f502bbc3a.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00be4f773a29342ffc87bcb1e65af540.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59ac8c5700ce2de9a140c4adea742168.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9806df6df27bf715c81c4a93fc6517c5.png)
其中真命题是
您最近一年使用:0次
2017-03-06更新
|
298次组卷
|
8卷引用:2011届黑龙江省哈三中高三第一次模拟考试数学理卷
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