题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014353-52853.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014353-61747.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014353-98637.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014353-97687.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014354-65777.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014354-14767.png)
(1)求证:平面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014354-90602.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014354-93343.png)
(2)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014355-74883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014355-82151.png)
(3)设
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014355-30206.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014353-52853.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014355-17675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014356-42301.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014356-21927.png)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014353-52853.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014356-44766.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014356-29979.png)
解析
试题分析:(1)求证:平面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014354-90602.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014354-93343.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014357-79332.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014354-93343.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014355-74883.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014355-82151.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014355-82151.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014357-79246.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014353-98637.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014353-97687.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014354-65777.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014354-14767.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014357-15676.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014357-45222.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014358-82838.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014358-97423.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014358-70670.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014358-22178.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014355-30206.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014353-52853.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014355-17675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014356-42301.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014358-70670.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014359-38353.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014359-60159.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014359-56356.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014357-79246.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014359-29961.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014400-65078.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014355-17675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014356-42301.png)
(1)在正方体
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014353-52853.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014357-79332.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014354-93343.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014400-39399.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014400-58110.png)
所以平面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014354-90602.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014354-93343.png)
(2)证明:连接
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014357-15676.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014357-45222.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014358-82838.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014358-97423.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014353-52853.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014401-17931.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014401-91146.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014401-56747.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014401-15619.png)
又因为
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014402-56924.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014402-61515.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014402-96222.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014402-50267.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014402-36398.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014403-78373.png)
即四边形
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014358-22178.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014358-70670.png)
又因为
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014403-70474.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014403-44074.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014404-20675.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014403-44074.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014404-82401.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014404-78840.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014404-40655.png)
(3)满足条件
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014405-61734.png)
理由如下:
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014353-52853.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014405-58086.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014405-46331.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014359-38353.png)
在正方体
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014353-52853.png)
因为
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014405-96956.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014355-82151.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014406-40924.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014406-43755.png)
所以
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014406-67626.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014406-53102.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014359-56356.png)
则点
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014359-29961.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014400-65078.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014407-72108.png)
所以在棱
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014400-65078.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014359-60159.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014359-29961.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014407-72108.png)
同理,正方体
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014353-52853.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014359-29961.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014407-72108.png)
所以在正方体
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014353-52853.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014356-44766.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014356-29979.png)
核心考点
试题【如图,在正方体中,,为的中点,为的中点.(1)求证:平面平面;(2)求证:平面;(3)设为正方体棱上一点,给出满足条件的点的个数,并说明理由.】;主要考察你对向量与空间位置关系等知识点的理解。[详细]
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014332-72868.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014333-86910.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014333-87051.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014333-32596.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014333-63691.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014334-74137.png)
(2)若二面角M-AC-D的大小为
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014334-30401.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014318-37172.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014319-78835.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014319-62762.png)
(2)求二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014319-42775.png)
(3)在线段
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014319-36782.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014319-78245.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014319-71169.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014319-74109.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014320-42861.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014320-11559.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014320-20647.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014256-14529.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014256-53483.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014256-77122.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014256-17880.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014256-94994.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014257-35715.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014257-81620.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014257-92061.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014257-79358.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014257-81620.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014258-38365.png)
(1)连接
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014258-15553.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014258-15553.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014258-11854.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014258-12984.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014259-33222.png)
(2)求
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014259-87480.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014259-33222.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014259-37859.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014246-27829.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014246-31916.png)
A.若![]() ![]() ![]() |
B.若![]() ![]() ![]() ![]() |
C.若![]() ![]() ![]() |
D.若![]() ![]() ![]() ![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014229-20294.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014229-47432.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014230-26782.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014230-98277.png)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014230-72263.png)
(2)若平面
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014229-47432.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014230-83685.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014230-59854.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014230-39532.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191106/20191106014231-66837.png)
最新试题
- 1下列句中加粗成语运用错误的一项是 [ ]A.群众的智慧无穷无尽,一个人的才能不过是沧海一粟。 B.我是集
- 2如图,某建筑物BC的楼顶上有一避雷针AB,在距此建筑物12米的D处安置一高度为1.5米的测倾器DE,测得避雷针顶端的仰角
- 31936年,英国经济学家凯恩斯提出:国家应积极干预经济生活,增加有效需求,以防止新的危机发生。下列选项中与上述主张最为贴
- 4(1)请将郑和第一次下西洋出发的地点和船队到达的最远地点填入答题卷图中对应的方框内。(2分)(2)观察下图,请将下列地点
- 5漫画《问题奶粉》(如图)中经营者的行为[ ]①违背了公民基本道德规范 ②有利于经营者长期赚钱 ③侵犯了消
- 6The students scored 100 ______ in the intelligence test, whi
- 7用配方法解方程x2+6x+7=0,下面配方正确的是[ ]A.(x+3)2=﹣2B.(x+3)2=2C.(x﹣3)
- 8材料是时代进步的重要标志。下列有关材料的说法中,不正确的是 [ ]A.塑料属于有机合成高分子材料 B.玻璃属于硅
- 9短周期元素Q、R、T、W在元素周期表中的位置如图所示,其中W的原子核内质子数与核外最外层电子数之比为8:3,下列说法正确
- 10给出下列三个命题:①函数y=ax(a>0且a≠1)与函数y=logax(a>0且a≠1)的定义域相同;②函数y=x3与y
热门考点
- 1一个“220V 40W”的电烙铁接入某电路后,若测得加在它两端的电压为110V,那么该灯的实际功率是( )A.10WB
- 2神经系统的结构和功能的基本单位是( )A.神经纤维B.反射弧C.神经元D.大脑皮层
- 3《与朱元思书》 风烟俱净,天山共色。从流飘荡,任意东西。自富阳至桐庐一百许里,奇山异水,天下独绝。
- 4硫代硫酸钠溶液与稀硫酸反应的化学方程为:,下列各组实验中最先出现浑浊是( )
- 5有4种含有铝元素的化合物A、B、C、D,且能发生下列反应①A+NaOH→D+H2O ②B加热A+H2O ③C+NaOH适
- 6对学生来说,只有学习重要,交往不重要。
- 7(20分)阅读下列材料,回答问题:材料一 桀纣之失天下,失其民也;失其民,失其心也。得天下有道:得其民,斯得天下也。——
- 8如图,已知矩形ABCD所在平面外一点P,PA⊥平面ABCD,E、F分别是AB,PC的中点.(1)求证:EF∥平面PAD;
- 9当你接听电话时,一般能够辩别对方是熟人还是陌生人,这是根据声音的______进行判断的.
- 10为了______和______,我国已经把计划生育列为一项基本国策.