名校
解题方法
1 . 已知点
在直线
,点
在直线
上,且
,
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/793894c733026e3f5900b31538fcb731.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9be9a7157db756c4536495e5698cf405.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e2dff006a89ed43e44492206e8516e7f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/af6fcccae408f4eddb35ca248434c5b8.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/186ae4baa81c268590b50e26cc0c3158.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/32650ade9b0aa92b658a939e5665d801.png)
A.![]() | B.![]() | C.![]() | D.5 |
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2 . 已知四面体
中,
,且
与平面
所成的角为
,则当
时,
的最小值是___________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3241d7fedd89d85711acd7a2635298af.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3a8c3e673f6942831b8431e44409689f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/828628c0876b45381c9a0edeb0fec236.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4819c39c281427826e1b3f7a4c2b720.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/15615de1a6df206dbd081251f676578e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f5ab4b75fa22deba7fcbcdcb31dd45b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/68f31592afa0f6735b29d6c616ff567c.png)
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3 . 已知
是圆
上的动点,
为定点,线段
的垂直平分线交线段
于点
,点
的轨迹为曲线
.
(1)求曲线
的方程;
(2)过点
的动直线
交曲线
于不同的A,B两点,
为线段
上一点,满足
,证明:点
在某定直线上,并求出该定直线的方程.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cd90fb00c0ffeaed8b9448e3a043f2c4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b707fdf035eb2fb4467958893c60381f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fb26d84907c923278ac4626a9d58947.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fc5adb5eb60ae4435a12d93854066298.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/c5db41a1f31d6baee7c69990811edb9f.png)
(1)求曲线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
(2)过点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a3ba9d9535a1d7e34f66db9da0861394.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/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8a3f2e9c21be0d3b6dea179d01fab006.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
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4 . 平面内与定点
距离之积等于
的动点的轨迹称为双纽线.曲线
是当
时的双纽线,
是曲线
上的一个动点,则下列结论不正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ad54248a8b3ae4ac8ec4434960ca484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5abd0f31afe865a63682ccd4a18a0e0d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3f5b763032c085a1e60822d8dc1b3605.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
A.曲线![]() |
B.满足![]() ![]() |
C.![]() |
D.若直线![]() ![]() ![]() ![]() |
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名校
解题方法
5 . 已知椭圆
,直线
(其中
)与椭圆
相交于
两点,
为
的中点,
为坐标原点,
.
(1)求
的值;
(2)求
的面积.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d9bf37fb661ccc2fdd67407269708df4.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d00a5df9d281dd4e1e45bf6a4d6fb27.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f4c78214e43a8b93f2a57072033cbcf.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/8455657dde27aabe6adb7b188e031c11.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/688075bdcbd17d782a5a8ddb9e1dc856.png)
(1)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/294f5ba74cdf695fc9a8a8e52f421328.png)
(2)求
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3fe95f656b98b53f71a9d72bf0c9a4b9.png)
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7日内更新
|
121次组卷
|
3卷引用:贵州省印江土家族苗族自治县智成中学2023-2024学年高二上学期12月月考数学试题
解题方法
6 . 已知点
,
,且平行四边形
的四个顶点都在函数
的图像上,则平行四边形
的面积为______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a6d861cf80bd971be02918cfa58cb76.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7d6ea89ac89df0bb030859d178c3595a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac56c56432bda6201a06c602234d1901.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
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7 . 已知圆
,抛物线
.若对于
上任意一点
,使得对圆
上的任意两点A,B,总有
,则
的取值范围是______ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fac639dcb97f511a7264fa56b0376b8a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7e6c830bfa9a1b979a1a9665166424bf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4d908ca24688cc7063e5c22b252900ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1010846eeec6c9da29640f5aa3f8738.png)
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2024-01-02更新
|
441次组卷
|
3卷引用:河南省名校学术联盟2024届高三高考模拟信息卷&押题卷数学试题(一)
河南省名校学术联盟2024届高三高考模拟信息卷&押题卷数学试题(一)山东省菏泽市2024届高三上学期期末考试数学试题(B)(已下线)2.4.1 抛物线的标准方程(十四大题型)(分层练习)-2023-2024学年高二数学同步精品课堂(沪教版2020选择性必修第一册)
23-24高二上·全国·课后作业
8 . 已知动点
在直线
上,动点
在直线
上,记线段
的中点为
,圆
,圆
,
,
分别是圆
,
上的动点.则
的最小值为( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67e4653897101f4fbfb0493898e550b0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fde6f1af3896c9fe3f9486c094d8003c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411461db15ee8086332c531e086c40c7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4f18f1b48b6209db35ebefa28f93e54a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/13cb795a78ee91833445b70ae3293c70.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/b1241216f3c1cb5e73043dd1037f556d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/23f3ffe7abc59e2f65d827c8eab8d36a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04a3f21d4d834ba5b8b80dd56732c136.png)
A.3 | B.![]() | C.![]() | D.![]() |
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名校
9 . 著名数学家华罗庚曾说过“数缺形时少直观,形少数时难入微”,事实上,很多代数问题都可以转化为几何问题加以解决,如:对于形如
的代数式,可以转化为平面上点
与
的距离加以考虑.结合综上观点,对于函数
,下列说法正确的是( )
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a591d79a74b659bc31d9d8d3c110179.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d259822ab64b8626f3893b8432673358.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1c6134983a8decef61d715c3eedb9f31.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1485de2f431884978487abce27ae2c81.png)
A.![]() | B.![]() ![]() |
C.![]() | D.方程![]() |
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2024-01-29更新
|
159次组卷
|
2卷引用:浙江省杭州第二中学2023-2024学年高一上学期期中考试数学试题
解题方法
10 . 已知函数
在区间
上存在零点,则
的最小值为__________ .
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b36c85dce772028e93c84c1ed4768b53.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9210e75c35fb455d0446eb7ddba7d79c.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c925be255ca736a53b24d13ddede1a86.png)
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