1 . 平面上的向量
、
满足:
,
,
.定义该平面上的向量集合
.给出如下两个结论:
①对任意
,存在该平面的向量
,满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092597e9907aab9a47d6e23057c8d274.png)
②对任意
,存在该平面向量
,满足![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092597e9907aab9a47d6e23057c8d274.png)
则下面判断正确的为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/64c5562bd4d1b54424330cb6329cd79d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b45ba716f03748c19b7ce2f99af536ab.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6316d995f00623f05fc3d56a6cbe5f00.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/407538138dd68ab917925c2063cc98e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8bf21fef3026cfe445a855c94cab5c84.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e30f758f45abc258acfe2c619a901dd4.png)
①对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f878c229fc3898c45a76727eee75370d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a0c5dcc6c7cbc617957931d8b8b4b09f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092597e9907aab9a47d6e23057c8d274.png)
②对任意
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f878c229fc3898c45a76727eee75370d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e8b56ab93d5122afcddb46d502012ca.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/092597e9907aab9a47d6e23057c8d274.png)
则下面判断正确的为( )
A.①正确,②错误 | B.①错误,②正确 | C.①正确,②正确 | D.①错误,②错误 |
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2024·全国·模拟预测
解题方法
2 . 平行直线
与
之间的距离为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1bc9e7368e59d91d6017e5d4ddbd01fe.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/03a6a13a356b6d2b7fc61fc7391b249c.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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解题方法
3 . 过点
作圆
的切线
,直线
与直线
平行,则直线
与
的距离为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/577620a3b886932bbcf2f2f3dd725d87.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb542e6dfdaad8d50d9206f90d85b22e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5fe0a98defcad0583c073d828c074730.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
A.4 | B.2 | C.![]() | D.![]() |
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2024-04-16更新
|
355次组卷
|
2卷引用:云南省昆明市云南师范大学附属中学2023-2024学年高二下学期教学测评月考(五)数学试题
名校
4 . 曲线
上的点到直线
距离的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dcfcb502ae988f634decf3e66b4640e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/08b9f0b9e53a83e68f5fec944f343119.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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5 . 已知过抛物线
的焦点
的直线与
交于
两点,线段
的中点为
,且
,若点
在抛物线
上,则
的最小值为( )
![](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/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01c74a907dda6bb7d9d56d009d9df253.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8f6653f6ac55816f010cf0246bf832ce.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9e19d857dc6de4bd9327645e0b8e02a.png)
![](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/f82358b724051b032c7ec734a226ae84.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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6 . 两条平行直线
:
,
:
之间的距离是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2e9b0f5f44abbc6544a2f672b025b013.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1e8a3365e99f926b1dafa901ab232152.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f6f17bc385bafb37e8f964e5eb99cd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0985b973395bcd371cd1e26d3fcd1c36.png)
A.1 | B.![]() | C.![]() | D.2 |
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7 . 两条平行线
,
间的距离等于( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3c8fe880439919f8948f53788e2dadc1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bc6eb1101451f276ca51031107408c45.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-03-12更新
|
425次组卷
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2卷引用:福建省三明市2023-2024学年高二上学期期末质量检测数学试题
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8 . 两条平行直线
与
间的距离为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd75be376523e7164df33ef2ed99ab3f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0554f944f3cf3b39780fceac33a2ef2b.png)
A.![]() | B.1 | C.![]() | D.![]() |
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9 . 已知圆O:
,P为直线l:
上的一个动点,过P作圆O的切线,切点分别为 A、B,若直线PA、PB关于直线l对称,则
( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e9f24b3b1e682eb26b4ad1278f8cbd07.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3dcaada7649455fbebcdbdbb9a94e6a1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2097c3d86a18ce211d7fcfb395788725.png)
A.![]() | B.![]() | C.![]() | D.![]() |
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2024-03-03更新
|
786次组卷
|
4卷引用:内蒙古自治区锡林郭勒盟2023-2024学年高三下学期开学联考理科数学试题
内蒙古自治区锡林郭勒盟2023-2024学年高三下学期开学联考理科数学试题湖北省黄冈市浠水县第一中学2024届高三下学期第二次模拟考试数学试题(已下线)湖南省长沙市四县区2024届高三下学期3月调研考试数学试题变式题6-10(已下线)模型12 对称问题模型(第八章 解析几何)
10 . 已知直线
与抛物线
相交于M,N两点,线段
的中点的横坐标为4,点T为
轴上的动点.若
的最小值为
,则实数
的值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/07565f10847840e0fb07b05218ad17fa.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2b6d8eaacc2d999b37209feba103f9ea.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d053b14c8588eee2acbbe44fc37a6886.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1ff3484bea1002c6b736f3dfa01b24f9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2793aa39b517d1a5e7ca2d8243710c8f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c94bb12cee76221e13f9ef955b0aab1.png)
A.![]() ![]() | B.![]() ![]() |
C.![]() ![]() | D.![]() ![]() |
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