名校
解题方法
1 . 已知抛物线
的焦点为
,
、
是抛物线上两动点,
是平面内一定点,下列说法正确的序号为( )
①抛物线准线方程为
;
②若
,则线段
中点到
轴距离为
;
③以
为圆心,线段
的长为半径的圆与准线相切;
④
的周长的最小值为
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e42102c1c07562853219ca5918803a27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/2007972af3341f27fbc32ce62dfce5e2.png)
①抛物线准线方程为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99c6875d552e9fff3c7d655f3a59b166.png)
②若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49e1bc08cc69d3d8e73b990f1236ed5c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5ca7d1107389675d32b56ec097464c14.png)
③以
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6aa2b5e09f8ec785c59900a529390a02.png)
④
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ceff3844281849df3e37a2e56e110549.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36c3ab9b6089175ddcca69027a32e5c7.png)
A.①②④ | B.②③ | C.③④ | D.②③④ |
您最近一年使用:0次
2022-05-10更新
|
506次组卷
|
3卷引用:陕西省西安市周至县2022届高三下学期三模文科数学试题
陕西省西安市周至县2022届高三下学期三模文科数学试题江西省南昌市八一中学2022届高三下学期三模数学(文)试题(已下线)专题3.12 抛物线的标准方程和性质-重难点题型检测-2022-2023学年高二数学举一反三系列(人教A版2019选择性必修第一册)
2 . 如图,点
是曲线
上的任意一点,
,
,射线
交曲线
于
点,
垂直于直线
,垂足为点
.则下列判断:①
为定值
;②
为定值5.其中正确的说法是
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/60edb08e-5d5c-4687-8920-162fac037a19.png?resizew=199)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2049e67012cc849c6a55d40dbed50d38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c0af1a9647a129a692715564967a8ef6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b378e03d75c73c8ca71f991a8c07729a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0bf25e032b5599ac49383de06e776365.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ce21531a886c50568b75fd4278f15dcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9355031ea0b2dc9cef3777621bc6d38.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca909e0bfdc0a931b1969115e5c524a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/95bacae35b6e16a0a33c2bdc6bc07df7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fb18ca54d4b25ddae3a613d91b20d551.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2022/11/2/60edb08e-5d5c-4687-8920-162fac037a19.png?resizew=199)
A.①②都正确 | B.①②都错误 |
C.①正确,②错误 | D.①都错误,②正确 |
您最近一年使用:0次
2020-07-14更新
|
602次组卷
|
5卷引用:上海市徐汇区2019-2020学年高二下学期期末数学试题
上海市徐汇区2019-2020学年高二下学期期末数学试题(已下线)专题5.4 期末考前必做30题(选择题提升版)-2020-2021学年高二数学下学期期末专项复习(沪教版)(已下线)3.3 抛物线沪教版(2020) 选修第一册 同步跟踪练习 期中测试卷(已下线)3.3 抛物线-2021-2022学年高二数学同步精品课堂讲+例+测(苏教版2019选择性必修第一册)
3 . 判断正误(正确的写正确,错误的写错误)
(1)平面内与一个定点和一条定直线的距离相等的点的轨迹一定是抛物线.( )
(2)抛物线实质上就是双曲线的一支.( )
(3)若抛物线的方程为
,则焦点到准线的距离
.( )
(4)抛物线
的焦点在x轴的正半轴.( )
(1)平面内与一个定点和一条定直线的距离相等的点的轨迹一定是抛物线.
(2)抛物线实质上就是双曲线的一支.
(3)若抛物线的方程为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d5545195ade2bda359e683715332e83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/990f8bff1f7e46d5a2f676d4693d342f.png)
(4)抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75217e13e2a4445061e08c5541b492c0.png)
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23-24高二上·全国·课前预习
4 . 判断正误,正确的填“正确”,错误的填“错误”.
(1)抛物线是无中心的圆锥曲线.( )
(2)抛物线
过焦点且垂直于对称轴的弦长是
. ( )
(3)抛物线
的准线方程为
. ( )
(1)抛物线是无中心的圆锥曲线.
(2)抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9fc58c62444bf42a25289c45425a00f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cc6ad069e39f9cbc01ede3772df24608.png)
(3)抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb2eaabc3705116778c73c8799890b6c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1295ced27046c05f38b059166ca78706.png)
您最近一年使用:0次
23-24高二上·全国·课前预习
5 . 判断正误,正确的写正确,错误的写错误.
(1)若点P到点
的距离和到直线
的距离相等,则点P的轨迹是抛物线.( )
(2)若点P到点
的距离和到直线
的距离相等,则点P的轨迹是抛物线.( )
(3)若点P到点
的距离比到直线
的距离小1,则点P的轨迹是抛物线.( )
(4)抛物线
中p是焦点到准线的距离.( )
(1)若点P到点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092fd1b1d33979818300cd2e3699bff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
(2)若点P到点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092fd1b1d33979818300cd2e3699bff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0985b973395bcd371cd1e26d3fcd1c36.png)
(3)若点P到点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092fd1b1d33979818300cd2e3699bff7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/639c3d2ff5ee566fcc1b69c65712a661.png)
(4)抛物线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7089148c36cb3c39af71de653756396a.png)
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6 . 判断正误(正确的填“正确”,错误的填“错误”)
(1)抛物线既是轴对称图形也是中心对称图形.( )
(2)抛物线的顶点一定在过焦点且与准线垂直的直线上.( )
(3)直线与抛物线只有一个公共点,则直线与抛物线相切.( )
(4)抛物线焦点到准线的距离等于p.( )
(1)抛物线既是轴对称图形也是中心对称图形.
(2)抛物线的顶点一定在过焦点且与准线垂直的直线上.
(3)直线与抛物线只有一个公共点,则直线与抛物线相切.
(4)抛物线焦点到准线的距离等于p.
您最近一年使用:0次
7 . 判断正误(正确的填“正确”,错误的填“错误”)
(1)直线与抛物线相交,则有2个公共点.( )
(2)
到点
的距离与到直线
的距离相等,则动点
的轨迹不是抛物线.( )
(3)
到
的距离与到直线
的距离相等,则动点
的轨迹是抛物线.( )
(4)点
在抛物线
上,则
的中点的轨迹是抛物线.( )
(1)直线与抛物线相交,则有2个公共点.
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40a6575be297c81653ef5090c5e7fb7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/822428f56006f684d0bca04af98e51ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f1a686b80b8f109a929f58c2de7201d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/40a6575be297c81653ef5090c5e7fb7c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/822428f56006f684d0bca04af98e51ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5428b040be21dcd503d350478c0a4773.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(4)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b072ff6d1b83232bebd7d4709ffba4ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aaf3369e0ea90e8d5cf4b6b3c45c0fd8.png)
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