题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031918-52598.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031918-20067.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031918-67740.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031919-47682.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031919-56779.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031919-80536.jpg)
图5
(1)证明:EB⊥FD;
(2)已知点Q,R分别为线段FE,FB上的点,使得
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031919-38810.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031920-63494.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031920-25579.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031920-65854.gif)
解析
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031920-44075.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031921-69512.jpg)
(2)设平面
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031920-63494.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031921-52957.gif)
由BQ=
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031921-46607.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031921-46607.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031921-43749.gif)
而
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031921-81700.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031922-99006.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031922-20617.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031922-99006.gif)
而平面
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031922-99006.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031922-55763.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031920-25579.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031921-52957.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031922-42725.gif)
由(1)知,
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031923-79067.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031923-61153.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031922-99006.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031921-52957.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031923-61153.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031922-99006.gif)
而
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031923-68326.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031922-99006.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031923-68147.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031923-74069.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031922-99006.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031924-24838.gif)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031924-63035.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031920-63494.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031920-25579.gif)
在
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031924-76512.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031924-60368.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031925-29859.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031925-97082.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031925-12966.jpg)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031925-39927.gif)
故平面
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031920-63494.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031926-64823.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031920-25579.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031920-65854.gif)
核心考点
试题【如图5,是半径为a的半圆,AC为直径,点E为的中点,点B和点C为线段AD的三等分点.平面AEC外一点F满足,FE=a .图5(1)证明:EB⊥FD;(2)已知点】;主要考察你对空间几何体的结构特征等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031902-58717.jpg)
如图,圆柱OO1内有一个三棱柱ABC-A1B1C1,
三棱柱的底面为圆柱底面的内接三角形,且AB是圆O的直径。
(Ⅰ)证明:平面A1ACC1⊥平面B1BCC1;
(Ⅱ)设AB=AA1。在圆柱OO1内随机选取一点,记该点取自于
三棱柱ABC-A1B1C1内的概率为P。
(i) 当点C在圆周上运动时,求P的最大值;
记平面A1ACC1与平面B1OC所成的角为
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031902-53517.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031902-53517.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031902-49554.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031902-53517.gif)
如图,在长方体ABCD-A1B1C1D1中,E,H分别是棱A1B1,D1C1上的点(点E与B1不重合),且EH∥A1 D1. 过EH的平面与棱BB1,CC1相交,交点分别为F,G。
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031856-73620.jpg)
(I) 证明:AD∥平面EFGH;
(II) 设AB=2AA1 ="2" a .在长方体ABCD-A1B1C1D1内随机选取一点。记该点取自几何体A1ABFE-D1DCGH内的概率为p,当点E,F分别在棱A1B1上运动且满足EF=a时,求p的最小值.
如图,
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031841-69652.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031842-78008.gif)
平面
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031842-58400.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031842-41939.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031842-78539.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031842-41939.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031842-42634.gif)
(1)求点
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031843-28239.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031843-42836.gif)
(2)求平面
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031843-58435.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031842-41939.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031843-54541.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031826-18406.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031826-84446.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031826-25583.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031826-79286.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031827-97869.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031827-66693.jpg)
上的点,
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031827-25152.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031827-70162.gif)
(1) 求异面直线
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031827-87543.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031827-62126.gif)
(2) 证明
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031827-91096.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031828-49591.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031828-82091.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031828-39262.gif)
(3) 求二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021031828-88707.gif)
A.(0,![]() | B.(1,![]() |
C.(![]() ![]() | D.(0,![]() |
最新试题
- 115. After retiring, he was recommended to ____ gardening as
- 2句型转换。1. Call him back! (改写为否定句) ________
- 3阅读下面的文字,完成下列各题。中国古代对诗歌艺术的把握,不重细密的分析,而重总体的品鉴。把握的方式是直观的、印象的、顿悟
- 4厨房里有下列物质,其中富含维生素的是( )①大米②小白菜③色拉油④莴苣⑤食醋.A.②④B.①⑤C.③④D.①③
- 5为了培养同学们的社会责任意识和社会实践能力,老师要求每个同学关注身边的社区并积极参加社区的社会实践活动,请根据所给提示以
- 6以下划线上的数字指时间(即时间间隔)的是( )A.某中学的作息表上写着,第四节:10:15-10:55 B.刘翔跨栏
- 72010年5月1日,以“城市,让生活更美好”为主题的上海世博会隆重开幕。据此回答1~2题。1、在上海世博会开幕式的演出中
- 8对于万有引力定律的数学表达式F=,下列说法正确的是[ ]A.公式中G为引力常数,是人为规定的 B.r趋近于零时
- 9墨子主张“尚同”,认为天下大乱的原因是没有共同的“义”,这种主张作用与下列哪些思想家观点相似A.韩非子、董仲舒B.韩非子
- 10设集合,,且,则实数的取值范围是
热门考点
- 1良好的班集体对我们的成长有着许多积极的影响[ ]A.有助于我们培养集体主义精神,增强责任感 B.有助于严明纪律,
- 2阅读理解。 Why should I teach my children history? That sound
- 3(多选)下列说法中正确的是( )A.验钞机是利用红外线使钞票上的荧光物质发光的效应进行防伪的B.适当的紫外线照射有助于
- 4小王去新华书店买书,书店规定花20元办优惠卡后购书可享受8.5折优惠.小王办卡后购买了一些书,购书优惠后的价格加上办卡费
- 5下列关于电磁现象的说法中,不正确的是( )A.通电导线周围存在磁场B.发电机是根据电磁感应现象制成的C.电磁铁磁性的
- 6在Rt△ABC中,∠C=90°,当已知∠A和a时,求c,则∠A、a、c关系式是c=______.
- 7阅读下列材料:材料一 人是多么了不起的杰作!多么高贵的理性!多么伟大的力量!多么优美的仪表!多么文雅的举动!在行为上多么
- 8我国总人口为12.95亿,人口特点是______.
- 9【题文】阅读《劝学》(节选),完成后面题。(10分)君子曰:学不可以已。青,取之于蓝,而青于蓝;冰,水为之,而寒于水。木
- 10The first edition ________ in 1955 and ________ a best selle