解题方法
1 . 如图,有一张较大的矩形纸片
分别为AB,CD的中点,点
在
上,
.将矩形按图示方式折叠,使直线AB(被折起的部分)经过P点,记AB上与
点重合的点为
,折痕为
.过点
再折一条与BC平行的折痕
,并与折痕
交于点
,按上述方法多次折叠,
点的轨迹形成曲线
.曲线
在
点处的切线与AB交于点
,则
的面积的最小值为_________________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dcab46b9032d25a660af389a6a37210.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192f4f9446c954a291f779d963f90257.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e8d71ba52c97faad3a085b9989969145.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)
![](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/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5d36626c9e45a25e8dc5bf4be4dbbfb3.png)
您最近一年使用:0次
2024-04-29更新
|
711次组卷
|
3卷引用:江西省南昌市2024届高三第二次模拟测试数学试题
2 . 过抛物线
的焦点
作直线
与抛物线交于
两点,且
,则下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3764ba3aa0a241787f4661026bb14053.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/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8269049ffbda5333600284ee5a12f674.png)
A.直线![]() |
B.直线![]() ![]() ![]() ![]() |
C.若![]() ![]() |
D.直线![]() ![]() ![]() |
您最近一年使用:0次
解题方法
3 . 已知抛物线C:
与圆O:
交于A,B两点,且
,直线
过C的焦点F,且与C交于M,N两点,则下列说法中正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3764ba3aa0a241787f4661026bb14053.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d35465f3e40ce00a1dce54b943ae183.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57dfc9d1109fe41145cc892b5702d9fb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
A.若直线![]() ![]() ![]() |
B.![]() ![]() |
C.若以MF为直径的圆与y轴的公共点为![]() ![]() |
D.若点![]() ![]() ![]() |
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解题方法
4 . 已知抛物线
的焦点
到点
的距离为
,直线
经过点
,且与
交于点
(
位于第一象限),
为抛物线上
之间的一点,
为点
关于
轴的对称点,则下列说法正确的是( )
![](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/4e820a33f036a3f45975eea34630bc11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2967337e3fcb228dded64ab0c41a17e0.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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4aa0df7f1e45f9de29e802c7f19a4f64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6bce3d91ca23b86d8c6625f2632e437.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf231f8f86fb922df4ca0c87f044cec3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
A.![]() |
B.若![]() ![]() ![]() ![]() ![]() |
C.若![]() ![]() |
D.若![]() ![]() |
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名校
解题方法
5 . 已知F为抛物线
的焦点,M,N,P,Q是C上四个不同的动点,满足直线
,
过F,其中M,P在第一象限,若直线
与x轴的交点为
,
,
,
,
的面积分别为
,
,
,
,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bb4dd4670828f75bc573b52cdd02e1d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/438f34bc8b04e8c494b91306ac6fe352.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e90be0db8c2f6610ee002461f45cdab1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/322b7fc53308233b59dce017d044c3e7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0c6f426b792991048b55d4cfaddb6ca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f7b3c1d0057c4b0405f28b48043d9af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ce74b3d06976675398a88cee8064fe4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e097c8d4c948de063796bd19f85b3a9a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e0bd63f55069a3bc870915010b39225.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6899bf9cadae2ccdb14cbc87d4f280ee.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f30f56664446f32dbbc2c5f12a99374.png)
A.![]() ![]() | B.直线![]() ![]() |
C.![]() | D.![]() |
您最近一年使用:0次
2024-03-03更新
|
194次组卷
|
2卷引用:江西省部分重点中学2023-2024学年高二上学期期末联考数学试题(A卷)
6 . 已知抛物线C:
的焦点为F,
的半径为1,过F的直线l与抛物线C和
交于四个点,自下而上分别是A,C,D,B,O为坐标原点,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ac62b1ade07205ae2693ec1ab135def.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/989dc4af481c6133824200942b9e5c8d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/989dc4af481c6133824200942b9e5c8d.png)
A.![]() |
B.![]() |
C.![]() |
D.![]() ![]() |
您最近一年使用:0次
7 . 动点G到点
的距离比到直线
的距离小2.
(1)求G的轨迹的方程;
(2)设动点G的轨迹为曲线C,过点F作斜率为
,
的两条直线分别交C于M,N两点和P,Q两点,其中
.设线段
和
的中点分别为A,B,过点F作
,垂足为D,试问:是否存在定点T,使得线段
的长度为定值.若存在,求出点T的坐标及定值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be92f0e0012a7696c78e3e00513edefd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d1bed885fcb17bdcc978ed955677f2b.png)
(1)求G的轨迹的方程;
(2)设动点G的轨迹为曲线C,过点F作斜率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6defc43285a40f7ccb74c1cc04265eba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ae3ab048431fdc75f9a2eef2a762f37.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c33daacca5f6f6681b662295ebb98587.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ad1ab6c10bc0a8bfbdc3b4824c2de1d1.png)
您最近一年使用:0次
解题方法
8 . 已知正方体
的棱长为
分别是棱
和
的中点,
是棱
上的一点,
是正方形
内一动点,且点
到直线
与直线
的距离相等,则( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bd110e5d9ab042968ec706b44e78572.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/394c5d2f55221975503be8aa18022480.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0a851907ada2ac2c3c4880a6736d28a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ab3e0dba5705e1d749cfb21ebbb2ed93.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/11ddc92d84d188c66b435664a7e7b5a4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
A.![]() |
B.点![]() ![]() ![]() |
C.存在点![]() ![]() ![]() ![]() |
D.动点![]() |
您最近一年使用:0次
2024-02-24更新
|
215次组卷
|
4卷引用:河南省部分名校2023-2024学年高二上学期1月期末考试数学试题
解题方法
9 . 在正方体
中,点
在底面
所在的平面上运动.下列说法不正确的是( )
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/19/a6d2e66f-2634-4b64-bcee-b16bdc578c6c.png?resizew=162)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2024/2/19/a6d2e66f-2634-4b64-bcee-b16bdc578c6c.png?resizew=162)
A.若点![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.若点![]() ![]() ![]() ![]() ![]() |
D.若点![]() ![]() ![]() ![]() |
您最近一年使用:0次
10 . 已知
,则下列说法正确的有( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c7f7aca9642b54b10fe660fcf89891e0.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() |
C.若![]() ![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
您最近一年使用:0次