名校
解题方法
1 . 如图多面体
中,面
面
,
为等边三角形,四边形
为正方形,
,且
,
、
分别为
、
的中点.
![](https://img.xkw.com/dksih/QBM/2021/5/16/2722164997160960/2761320622317568/STEM/085ce249526c498d8827e0ed61295117.png?resizew=230)
(1)做出平面
与平面
的交线,记该交线与直线
交点为
,则
的值是多少?(不需说明理由,保留作图痕迹);
(2)求二面角
的余弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9165d9bfbb0f0d19eb482c2a4c1b29b7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1056cd2db035cbfcce4935ffec20030a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2eaceb8d6c6927e14d9ac7a557a2b11d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d459cad63e3cd2aba10862800fa4832.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2bbebf3b4b4f58588abd4d909f287011.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/73465a1f9aa03481295bf6bd3c6903ac.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/895dc3dc3a6606ff487a4c4863e18509.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4eedae8d316c76e3d0b451256de03fb9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9d78abbad68bbbf12af10cd40ef4c353.png)
![](https://img.xkw.com/dksih/QBM/2021/5/16/2722164997160960/2761320622317568/STEM/085ce249526c498d8827e0ed61295117.png?resizew=230)
(1)做出平面
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1828e73ec5e00f95aa11ff74c703a5c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/41ab40260ac9056153d14d70d2519371.png)
(2)求二面角
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d9b93a16e12288832564c6ffe82151e.png)
您最近一年使用:0次
2021-07-10更新
|
341次组卷
|
8卷引用:安徽省马鞍山市2021届高三下学期第三次教学质量监测理科数学试题
安徽省马鞍山市2021届高三下学期第三次教学质量监测理科数学试题安徽省示范高中培优联盟2020-2021学年高二下学期春季联赛理科数学试题江苏省泰州中学2021届高三下学期四模数学试题(已下线)专题1.11 空间向量与立体几何大题专项训练(30道)-2021-2022学年高二数学举一反三系列(人教A版2019选择性必修第一册)(已下线)专题24 立体几何解答题最全归纳总结-2(已下线)专题08 立体几何解答题常考全归类(精讲精练)-1(已下线)重难点突破06 立体几何解答题最全归纳总结(九大题型)-2(已下线)专题15 立体几何解答题全归类(练习)
名校
解题方法
2 . 如图,已知多面体EABCDF的底面ABCD是边长为2的正方形,
,
,且
.
(1)记线段
的中点为
,在平面
内过点
作一条直线与平面
平行,要求保留作图痕迹,但不要求证明;
(2)求直线
与平面
所成角的正弦值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e04eb87d1aa3784c08f3239d4ff99e0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6a060f4fc2c8034b08c77c065f9e125d.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba1316f4183e8854d38283b716e2ba1b.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/6/18/163f8856-84f6-45d9-95fa-fa04563ea83d.png?resizew=139)
(1)记线段
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0dc5c9827dfd0be5a9c85962d6ccbfb1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3834d7ec7531f3c3c0ce9b286f7a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/411b38a18046fea8e9fab1f9f9b80a5f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cf3834d7ec7531f3c3c0ce9b286f7a49.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f636f76d550dfb593a25eb680cff556.png)
(2)求直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ccaee8f228ff24e7c89879bb5b999cf2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f636f76d550dfb593a25eb680cff556.png)
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2023-06-15更新
|
597次组卷
|
9卷引用:安徽省舒城中学2023届高三仿真模拟卷(三)数学试题
安徽省舒城中学2023届高三仿真模拟卷(三)数学试题广西桂林市桂林中学2017届高三5月全程模拟考试数学(理)试题山西省太原市第五中学2017届高三第二次模拟考试(5月) 数学(理)试题辽宁省鞍山市第一中学2018届高三上学期第二次模拟考试(期中)数学(理)试题天津市实验中学2018届高三上学期第二次模拟数学(理)试题江西省临川二中、新余四中2018届高三1月联合考试数学(理)试题(已下线)重难点突破06 立体几何解答题最全归纳总结(九大题型)-2(已下线)专题15 立体几何解答题全归类(9大核心考点)(讲义)-1(已下线)重难点12 立体几何必考经典解答题全归类【九大题型】
3 . 一种作图工具如图1所示.
是滑槽
的中点,短杆
可绕
转动,长杆
通过
处铰链与
连接,
上的栓子
可沿滑槽AB滑动,且
,
.当栓子
在滑槽AB内做往复运动时,带动
绕
转动一周(
不动时,
也不动),
处的笔尖画出的曲线记为
.以
为原点,
所在的直线为
轴建立如图2所示的平面直角坐标系.
(Ⅰ)求曲线C的方程;
(Ⅱ)设动直线
与两定直线
和
分别交于
两点.若直线
总与曲线
有且只有一个公共点,试探究:
的面积是否存在最小值?若存在,求出该最小值;若不存在,说明理由.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572139040808960/1572139046526976/STEM/505c6b1bb0214914813bd468e5658abd.png)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572139040808960/1572139046526976/STEM/f33972f039914ebfa9d824c29b1ce058.png)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572139040808960/1572139046526976/STEM/56a73279e3984bf789d920f038332a76.png)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572139040808960/1572139046526976/STEM/01dab6f0505b44b09fe64e1833a4a4ff.png)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572139040808960/1572139046526976/STEM/505c6b1bb0214914813bd468e5658abd.png)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572139040808960/1572139046526976/STEM/56a73279e3984bf789d920f038332a76.png)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572139040808960/1572139046526976/STEM/9927897ec3b34f83b734e2812f0050eb.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/17df11e4f242f1ab2c664127a9cc4274.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/02e47bb98258ebfcf1d8ad4bac10b7ba.png)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572139040808960/1572139046526976/STEM/9927897ec3b34f83b734e2812f0050eb.png)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572139040808960/1572139046526976/STEM/01dab6f0505b44b09fe64e1833a4a4ff.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572139040808960/1572139046526976/STEM/9927897ec3b34f83b734e2812f0050eb.png)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572139040808960/1572139046526976/STEM/01dab6f0505b44b09fe64e1833a4a4ff.png)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572139040808960/1572139046526976/STEM/3198a5c7ac1b44c19224417bc21c6725.png)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572139040808960/1572139046526976/STEM/9d5e5b28b9fc41f89792b5e3dfb97d63.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f52a58fbaf4fea03567e88a9f0f6e37e.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/81dea63b8ce3e51adf66cf7b9982a248.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/7/13/7c593eff-1103-4bce-9ba1-1a807ac5c37d.png?resizew=337)
(Ⅰ)求曲线C的方程;
(Ⅱ)设动直线
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4b65826e98ba9bea060a68b4a66a2555.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c41bd9a29a1bde0ab8d008769bfd279a.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c42b4b5f59cf1e505febfb43f3f4647.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f85fca60a11e1af2bf50138d0e3fe62.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5db41a1f31d6baee7c69990811edb9f.png)
![](https://img.xkw.com/dksih/QBM/2015/6/24/1572139040808960/1572139046526976/STEM/680e72e7474b455bbfe34e88500a3a49.png)
您最近一年使用:0次
2016-12-03更新
|
4659次组卷
|
15卷引用:安徽省马鞍山市第二中学2020-2021学年高二上学期期末理科数学试题
安徽省马鞍山市第二中学2020-2021学年高二上学期期末理科数学试题2015年全国普通高等学校招生统一考试理科数学(湖北卷)2015年全国普通高等学校招生统一考试文科数学(湖北卷)(已下线)上海市华东师范大学第二附属中学2017-2018学年高三上学期10月月考数学试题北京市北京一零一中学2019-2020学年高二第一学期期末考试数学试题北京市101中学2019-2020学年上学期高二年级期末考试数学试题(已下线)专题29 圆锥曲线的综合问题-十年(2011-2020)高考真题数学分项(已下线)专题22 圆锥曲线的“三定”与探索性问题(讲)-2021年高三数学二轮复习讲练测(新高考版)(已下线) 专题26 圆锥曲线的“三定”与探索性问题(讲)-2021年高三数学二轮复习讲练测(文理通用)(已下线)专题23 圆锥曲线中的最值、范围问题 微点1 圆锥曲线中的最值问题贵州省遵义市南白中学2022-2023学年高二下学期第一次联考数学试题(已下线)专题24 解析几何解答题(文科)-4(已下线)专题24 解析几何解答题(理科)-3专题36平面解析几何解答题(第一部分)专题37平面解析几何解答题(第一部分)
4 . 如图,平面上,
,
两点间距离为
,
为
的中点,现一动点
,它在运动过程中始终保持到
点的距离比到
点的距离大2(
共面),请建立适当的平面直角坐标系.
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/25/bda65d9d-b882-42e1-9fb5-e6c0279c84e0.png?resizew=122)
(1)求出动点
运动的轨迹方程;
(2)当
的面积为
时,在
内画一个圆,求可画出圆的最大面积.
![](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/6f8c4c029e552954bd493b49aeab82d5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1dde8112e8eb968fd042418dd632759e.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/ac047e91852b91af639feec23a9598b2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/54a5d7d3b6b63fe5c24c3907b7a8eaa3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56f24ae41972354edae37b12b5a8d43e.png)
![](https://img.xkw.com/dksih/QBM/editorImg/2023/3/25/bda65d9d-b882-42e1-9fb5-e6c0279c84e0.png?resizew=122)
(1)求出动点
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/dad2a36927223bd70f426ba06aea4b45.png)
(2)当
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ed4c4e8edbd179f3fc38a6653f18c1.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a46fd58e40935064129c4676ec310791.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b1ed4c4e8edbd179f3fc38a6653f18c1.png)
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