题目
题型:不详难度:来源:
已知四边形ABCD是正方形,P是平面ABCD外一点,且PA=PB=PC=PD=AB=2,
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013451-96407.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013452-45908.gif)
(1)求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013452-25938.gif)
(2) 求证:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013452-58975.gif)
(3)求直线
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013452-81216.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013452-78343.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013452-99315.gif)
答案
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013453-95499.gif)
∵四边形ABCD是正方形,
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013453-48299.gif)
∵PA=PC,∴OP⊥AC,同理OP⊥BD,
以O为原点,
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013453-32907.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013453-64325.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013453-52624.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013454-92253.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013454-18307.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013454-20614.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013454-81396.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013454-86698.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013455-90489.gif)
解析
核心考点
试题【(本题满分14分)已知四边形ABCD是正方形,P是平面ABCD外一点,且PA=PB=PC=PD=AB=2,是棱的中点.建立适当的空间直角坐标系,利用空间向量方法】;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
如图3,已知在侧棱垂直于底面
的三棱柱
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013445-44776.gif)
(1)求证:平面AC1D⊥平面A1ABB1;
(2)若AC1与平面A1ABB1所成角的正弦值
为
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013445-12192.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013445-44011.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013440-47906.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013440-91945.gif)
①若
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013441-51809.gif)
②若直线
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013441-61493.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013441-22141.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013441-70976.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013442-28809.gif)
③存在异面直线
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013441-61493.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013441-70976.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013441-22141.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013441-70976.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013442-73878.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013442-28809.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013442-73878.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013441-22141.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013442-73878.gif)
④若
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013442-69501.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013442-59192.gif)
其中正确命题的个数是
A.1 | B.2 | C.3 | D.4 |
如图,已知直角梯形
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013424-86492.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013425-64297.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013425-77306.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013425-78294.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013425-72728.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013424-86492.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013426-45220.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013426-51717.gif)
(1)证明:
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013426-38716.gif)
(2)求二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013426-38969.gif)
(3)求三棱锥
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013426-47991.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013427-18605.jpg)
如图,在四棱锥P-ABCD中,底面ABCD是边长为2的正方形,PA⊥底面ABCD,PA=4,M为PA的中点,N为AB的中点.
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013412-86507.gif)
(1)求三棱锥P-CDM的体积;
(2)求二面角A-DN-M的余弦值.
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013407-99976.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013408-47241.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013408-79310.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013408-19785.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013408-23885.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013408-90051.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013408-16202.gif)
①多面体
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013408-55751.gif)
②直线
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013408-75094.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013408-25682.gif)
③直线
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013409-50017.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013409-90016.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013409-11452.gif)
④二面角
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013409-84021.gif)
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013409-11452.gif)
其中真命题有_______________(写出所有真命题的序号).
![](http://img.shitiku.com.cn/uploads/allimg/20191021/20191021013409-36112.gif)
最新试题
- 1关于人体触电认识正确的是( )A.一般高压电会发生触电,低压电不会发生触电B.只要接触有电的电线就会触电C.靠近高压电
- 2流程图中表示判断框的是______.
- 3(12分)已知函数的图像经过(o,1),且(1)求的值域;(2)设命题,命题q:函数在R上无极值,是否存在实数m满足复合
- 4关于机械能守恒定律的适用条件,下列说法中正确的是A.物体所受的合外力为零时,机械能守恒B.物体沿斜面加速下滑过程中,机械
- 5阅读短文,选择正确答案。 When I was seven years old, my family mad
- 6— I"ve been coughing like this for several days. — I"m sorry
- 7不等式组 的解集是( )
- 8计算(1)(-8)+6+3-(-2)(2)(-3)×(-2)+35÷(-5)
- 9学生上网成瘾是令老师最头疼的事之一,造成学生上网成瘾的原因是多方面的。请你从学校的角度分析一下原因。__________
- 10下列有关概念的叙述正确是A.同素异形体间在一定条件下可以相互转换,转换过程中发生的是物理变化B.各同位素原子核中质子数一
热门考点
- 1.设函数给出下列四个命题:①当时,只有一个实数根;②当时,为偶函数;③函数图象关于点对称]④当时,方程有两个不等实根.上
- 2城市精神是城市文化的精髓。“爱国、创新、包容、厚德”的北京精神在城市建设中将发挥重要作用,表现在( )①精神
- 3 ,the wind died down and people began to appear on th
- 4粒子M通过一定方式转化为N, 如图所示:变化前后保持不变的是A.核电荷数B.带电情况C.化合价D.化学性质
- 5读下图回答:(1)黄河是中华民族的母亲河,呈巨大的“几”字形,曲折向东流入_____海。(2)黄河为我们中华民族的发展做
- 6显微镜的目镜是10×,物镜是45×,这时观察到的物像放大倍数是( )A.450倍B.10倍C.45倍D.55倍
- 7四位同学在做研究性学习时,以中国古代四大发明对西方历史的影响为题,各命制了一个题目,你觉得比较合适的是 ①大汉的文明传承
- 8点P(m+3,m+1)在x轴上,则点P的坐标为( )A.(2,0)B.(0,-2)C.(4,0)D.(0,-4)
- 94月1日这天 A.北极圈内都是白昼B.灌南正午太阳高度角将继续增大C.20°S处昼长比20°N处昼长长D.南京昼短夜长
- 10句型转换。1. The older girl is more outgoing.(对画线部分提问) _____