名校
解题方法
1 . 已知椭圆
的上、下顶点分别为A,B,O为椭圆的中心,D是线段OB的中点.直线
,动点T到直线m的距离与T到点
的距离相等.设动点T的轨迹为
.
(1)求
的方程;
(2)过点D作斜率为
的直线l,交
于M,N,直线
分别交
于P,Q两点(P,Q均不同于点A),设直线
的斜率为
,求证:
是定值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1a0ad41722598d9fd00138a0f781b5df.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/28c2debb1285d2bb3b7907bece265c01.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b0436039bcb24dab81c2664575dbad83.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
(2)过点D作斜率为
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3e2fd6df03fd6e945e2c1cb44bca014b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8d42cb68c5c877a455ba7ac0a6b6a651.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/423b7ae39db552e60ee8b1d27312306f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2a3f348a942d468f0d77c0dfbb41d87.png)
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名校
解题方法
2 . 直四棱柱
的所有棱长都为4,
,点
在四边形
及其内部运动,且满足
,则下列选项正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5640c531110986a503de677715770e62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b2bf9ef324f1289e205e29fed105c38e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/18eda23cdbaa307450ea2a50f54d51d0.png)
A.点![]() ![]() |
B.直线![]() ![]() |
C.点![]() ![]() ![]() |
D.![]() |
您最近一年使用:0次
2024-03-21更新
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1157次组卷
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5卷引用:2024届江苏省华罗庚中学高三下学期5月冲刺测试二数学试卷
名校
解题方法
3 . 在
中,已知
,
,设
分别是
的重心、垂心、外心,且存在
使
.
(1)求点
的轨迹
的方程;
(2)求
的外心
的纵坐标
的取值范围;
(3)设直线
与
的另一个交点为
,记
与
的面积分别为
,是否存在实数
使
?若存在,求出
的值;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d42f05b013e4b7166cbc87c5a83d6a85.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ca0b4afd16b79370532de44989d6c43d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/629fa2d45c98294868b7e6f822fe06aa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/71b8e5990ef4ef314941a3154457a9d4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ddec257c9be12df3a3e4caa3d4bca66c.png)
(1)求点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15c0dbe3c080c4c4636c64803e5c1f76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/91edc7e2d4811f5ea6c01284cf00393a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(3)设直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e4a16b9e9d730d7b152f59f69dea2c3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bcd8ee2d8367c167d6ae0abc741b6b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/662f3139dd0eaf3cf83c4c81ba9ee11d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/89a4305caeb7703718b82440d3bb2be8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3637753af5ce86be9c23a9beb6b5067.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/594c39b1ac50a490bc7970c97607603c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/df64046e91b047037f19e4032e3b6de3.png)
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2024-03-19更新
|
1142次组卷
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5卷引用:山西省晋城市第一中学校2023-2024学年高二下学期第二次调研考试数学试题
山西省晋城市第一中学校2023-2024学年高二下学期第二次调研考试数学试题上海市四校(复兴高级中学、松江二中、奉贤中学、金山中学)2024届高三下学期3月联考数学试卷(已下线)上海市四校(复兴高级中学、松江二中、奉贤中学、金山中学)2024届高三下学期3月联考数学试题变式题17-21河南省信阳高级中学2024届高三5月测试(一)二模数学试题(已下线)专题13 学科素养与综合问题(解答题18)
名校
解题方法
4 . 已知点
是圆
上任意一点,点
关于点
的对称点为
,线段
的中垂线与直线
相交于点
,记点
的轨迹为曲线
.
(1)求曲线
的方程;
(2)若点
,直线
,过点
的直线
与
交于
两点,直线
与直线
分别交于点
.证明:
的中点为定点.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e71fe5b5d0176d7301aa4545e14c96f2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/560adea7b0d4fbe4131fc41f3fcbd871.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5076289823db419f94e9c0c8f4aafd9.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/7272356beb98a7953a49651324cb6455.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dfbdbe9a17a23c44cec8c7475c4dc1a9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0b68df477b3ee45ac0f725db00d465a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)若点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44402094d9c573ce4917e514a3228b5a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bdbd8a5d973b7a54b7605388fdcfbb07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d3a51949f48ee8cf746851ba779b078e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ddd2283c8f1deb4687f3b64c5149312.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5b1b15a4605fce993cb13aefbf40360.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a5f1641947153c80b987320885a2b57.png)
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名校
5 . 如图,在平面直角坐标系
中,半径为1的圆
沿着
轴正向无滑动地滚动,点
为圆
上一个定点,其初始位置为原点
为
绕点
转过的角度(单位:弧度,
).
表示点
的横坐标
和纵坐标
;
(2)设点
的轨迹在点
处的切线存在,且倾斜角为
,求证:
为定值;
(3)若平面内一条光滑曲线
上每个点的坐标均可表示为
,则该光滑曲线长度为
,其中函数
满足
.当点
自点
滚动到点
时,其轨迹
为一条光滑曲线,求
的长度.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02c9643bf4dd7e04efa4644412491725.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50703c46b6153945d718b198f03b4b5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9c81b29ac8a01886b25dcef55c5f6877.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/36a1b09c653185842513e24ebba60bb3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
(2)设点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d2ce55c4ff508755d16c375625437027.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c24095e409b025db711f14be783a406c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e69218ef831edc8173b4029ea99eda87.png)
(3)若平面内一条光滑曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc031988b2a4dcd840069dbd3a1c810e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dfe48a76ae71f8925b731e8c330bdb2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b5d69e7fb25c60ee47440a1ece037544.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b8a8bcf6ef69b6bdfc84e8472a259bf5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/016b58ad9076316abaf809dea297256a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/016b58ad9076316abaf809dea297256a.png)
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2024-03-13更新
|
1230次组卷
|
3卷引用:河南省南阳市西峡县第一高级中学2023-2024学年高二下学期第一次月考数学试卷
6 . 已知P为平面直角坐标系xOy上的动点,记其轨迹为曲线C.
(1)请从以下两个条件中选择一个,求对应曲线C的方程.
①已知点
,直线
,动点P到点T的距离与到直线l的距离之比为
;
②已知点A 是圆F
上的任意一点,点F为圆F的圆心,点
与点F关于原点对称,线段
的垂直平分线与线段AF交于点P;
注:如果选择多个条件分别作答,则按第一个解答计分.
(2)延长OP至
, 使
,点
的轨迹为曲线E,过点P的直线
交曲线E于M,N两点,求
面积的最大值.
(1)请从以下两个条件中选择一个,求对应曲线C的方程.
①已知点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/53e4a3aea4b4b0d87c014030a6ff9027.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6261e2ccfee2e4df6e1f2021de5da27e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f89eef3148f2d4d09379767b4af69132.png)
②已知点A 是圆F
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6abe4ba4315ffa105a54dc76832aaf69.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f8e55590555905eb4f57889bbd16e39a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cad0a19415e796564f30906f2e7dbf76.png)
注:如果选择多个条件分别作答,则按第一个解答计分.
(2)延长OP至
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bff7c3deefb67e9da153c80c2ea89ecf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed283a253b61df01f2a1cdc0cd8003f3.png)
您最近一年使用:0次
7 . 在平面直角坐标系
中,椭圆
,圆
为圆
上任意一点.
(1)过
作椭圆
的两条切线
,当
与坐标轴不垂直时,记两切线斜率分别为
,求
的值;
(2)动点
满足
,设点
的轨迹为曲线
.
(i)求曲线
的方程;
(ii)过点
作曲线
的两条切线分别交椭圆于
,判断直线
与曲线
的位置关系,并说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7ee31829d0d4d5f779a957d7df8058ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb4402aeb853b22f20992156957ef0fd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7aa0e17e5b3fe273afe0477f1c82270f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
(1)过
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/44434b647ec546fe787e2164e0be6cd2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/90963760acac7bfad3ae03088c6c80b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6b881044b5c73db6fcce110525741b02.png)
(2)动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/734959c9dad77e3463fac8a149f96996.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(i)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
(ii)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/77024f98a315fe9604931f74967539b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04d4315d7c1396985e292ba12e747524.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb0cb4b2e0a7af501779001e4f6bb6c6.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a30f3a8b673cc28bd90c50cf1a35281.png)
您最近一年使用:0次
2024-03-08更新
|
798次组卷
|
2卷引用:重庆市第八中学校2024届高三下学期高考适应性月考数学试卷 (五)
名校
解题方法
8 . 如图,在圆
上任取一点
,过点
作
轴的垂线段
,
为垂足,且满足
.当点
在圆上运动时,
的轨迹为
.
的方程;
(2)点
,过点
作斜率为
的直线
交曲线
于点
,交
轴于点
.已知
为
的中点,是否存在定点
,对于任意
都有
,若存在,求出点
的坐标;若不存在,请说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5f5d967ad135991b6075ee45df55643.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/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e0629ce42392a7fe9be21d25c39c3e64.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/872b10db56b06a6b9c7e4c784ffd095c.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/cffa35373ec4e4684107b42adb7a5161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
(2)点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/448c0a5ee776d19ce8e42ac9a5fd27c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5963abe8f421bd99a2aaa94831a951e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2799abb64fd7bfce9dfa7228aa460564.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cffa35373ec4e4684107b42adb7a5161.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7f9e8449aad35c5d840a3395ea86df6d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2799abb64fd7bfce9dfa7228aa460564.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fdc7cb5caaee7b94e82901188bb023cd.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/acc290b44635265137fdf13146b6a6d9.png)
您最近一年使用:0次
2024-03-07更新
|
382次组卷
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5卷引用:湖北省鄂西南三校2023-2024学年高二下学期三月联考数学试卷
名校
解题方法
9 . 在空间中,到一定点的距离为定值的点的轨迹为球面,已知菱形ABCD的边长为2,
,P在菱形ABCD的内部及边界上运动,空间中的点Q满足
,则点Q轨迹所围成的几何体的体积为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2fb01d2b57580731c8b807ac8cffc8ba.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ee28f91a63a0af514725b2792927494e.png)
A.![]() | B.![]() | C.![]() | D.![]() |
您最近一年使用:0次
2024-03-06更新
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1040次组卷
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3卷引用:云南省昆明市云南师范大学附属中学2024届高三下学期3月月考数学试卷
云南省昆明市云南师范大学附属中学2024届高三下学期3月月考数学试卷四川省绵阳市东辰学校2024届高三下学期第二学月考试数学(理科)试题(已下线)第三章 空间轨迹问题 专题四 立体几何轨迹面积、体积问题 微点2 立体几何轨迹面积、体积问题综合训练【培优版】
名校
解题方法
10 . 已知正方体
棱长为4,点N是底面正方形ABCD内及边界上的动点,点M是棱
上的动点(包括点
),已知
,P为MN中点,则下列结论正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6e09725691ee7851f54c0dee86b2bf55.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/22adbc0da438220f9cace11b629d799b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/be8d02ea60833af13e56ca497b559b12.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/20ee7af832af9460f4775fa5c8c3620f.png)
A.无论M,N在何位置,![]() | B.若M是棱![]() ![]() |
C.M,N存在唯一的位置,使![]() ![]() | D.AP与平面![]() ![]() |
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2024-03-03更新
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881次组卷
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4卷引用:河南省南阳市西峡县第一高级中学2023-2024学年高二下学期第一次月考数学试卷