名校
解题方法
1 . 抛物线
上的动点P到点
的距离等于它到C的准线距离,则P到焦点距离为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/623afc24f2227004b0e1b3922dfb954b.png)
您最近一年使用:0次
7日内更新
|
43次组卷
|
2卷引用:山西省晋城市第一中学校2023-2024学年高二下学期第四次调研考试(5月)数学试题
名校
解题方法
2 . 已知抛物线
的焦点为
,过点
且斜率为2的直线
与
交于A,B两点,且
.
(1)求
的方程;
(2)过点
作
轴的平行线
是动点,且异于点
,过点
作AP的平行线交
于
,
两点,证明:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.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/a307e03ef63f06fb883eb00ebb44657b.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7ff2ed4643cefb85fbe25a8fd2dc769.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/aca51d433190304dd9811b0a1f7b4beb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a02e59ceedf083bea616d7e427a8002.png)
您最近一年使用:0次
2024-06-03更新
|
385次组卷
|
2卷引用:山西省忻州市2023-2024学年高二下学期5月联考数学试题
3 . 已知抛物线
的准线方程为
为
的焦点,过点
的直线与
交于
两点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b4c81b6035ffbe515d382b7340cc1fe0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fab8a0cc6504aa4c3a38006f5394b4c2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
A.![]() |
B.若![]() ![]() |
C.![]() |
D.![]() |
您最近一年使用:0次
名校
解题方法
4 . 已知双曲线
:
的右焦点
与抛物线
的焦点重合.
(1)求双曲线
的方程;
(2)若斜率为
的直线
经过右焦点
,与双曲线的右支相交于
,
两点,双曲线的左焦点为
,求
的周长.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c8ae028ac313fbdcc70a039644333ffb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac62b1ade07205ae2693ec1ab135def.png)
(1)求双曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若斜率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7ffe8515ff6183c1c7775dc6f94bdb8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3fb78c5f885034612c0e030b920143d.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/f5076289823db419f94e9c0c8f4aafd9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3c07ebcbfacda073208d483c58e8a84.png)
您最近一年使用:0次
2024-03-03更新
|
313次组卷
|
2卷引用:山西省太原市2023-2024学年高二上学期期末数学试题
解题方法
5 . 设抛物线
的焦点为
,准线为
,点
是抛物线
上不同的两点,且
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1d939b804513036cd96fddce791ece09.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eefa44964db83759aff6fc8dd7ef8f28.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/49e1bc08cc69d3d8e73b990f1236ed5c.png)
A.![]() | B.以线段![]() |
C.线段![]() | D.线段![]() ![]() ![]() |
您最近一年使用:0次
解题方法
6 . 设抛物线
的焦点是
,点
是抛物线上的动点,且点
,则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b072ff6d1b83232bebd7d4709ffba4ef.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e18e9b80fdeaa8bd3cf97b3c214448f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/508734095955bb96d52f37be4e681700.png)
A.![]() | B.4 | C.![]() | D.5 |
您最近一年使用:0次
解题方法
7 . 如图所示是某家用汽车远光灯示意图,其中心截口曲线是抛物线的一部分,光源在抛物线的焦点处,且灯口直径是
,灯深
,则( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/13/58c532c6-a021-48bf-98af-220c3d541db1.png?resizew=172)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fbe9f7abf7bcf4e1aa2579cd191d7761.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cdb26c5cdef6f16f4b39cd091041b439.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/13/58c532c6-a021-48bf-98af-220c3d541db1.png?resizew=172)
A.远光灯光线按照路径![]() |
B.光源![]() ![]() ![]() |
C.与抛物线对称轴垂直的光线长度为![]() |
D.灯口上任意一点到焦点![]() ![]() |
您最近一年使用:0次
解题方法
8 . 已知点
是焦点为
的抛物线
上的一个动点,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/745de5ef1fd897d16e37464172d5e8c9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08ef03f452410ab19c6246567c427178.png)
A.![]() | B.![]() |
C.![]() | D.![]() ![]() |
您最近一年使用:0次
9 . 已知
是抛物线
上的一点,
为抛物线的焦点,
为坐标原点.当
时,
,则![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aa3ba0c87ce97239cb65f863fa9340f.png)
________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/62c2f156b05838deaae6a35acad242af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0ed1ec316bc54c37c4286c208f55667.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56bbafa889700c6764ebc7fc1a42cd91.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2dcf8baa7f4dff82b2c34db6e894f36.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1aa3ba0c87ce97239cb65f863fa9340f.png)
您最近一年使用:0次
2024-02-04更新
|
480次组卷
|
5卷引用:山西省太原市2023-2024学年高二上学期期末数学试题
解题方法
10 . 过抛物线的焦点的直线与抛物线C相交于A,B两点,若线段
中点的坐标为
,则
( )
A.4 | B.3 | C.2 | D.1 |
您最近一年使用:0次
2024-01-25更新
|
204次组卷
|
3卷引用:山西省忻州市2023-2024学年高二上学期1月期末考试数学试题