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2022年人教版高中数学必修2立体几何题型归类总结教学提纲 .pdf

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1、人教版高中数学必修2 立体几何题型归类总结精品文档收集于网络，如有侵权请联系管理员删除立体几何题型归类总结一、考点分析基本图形1棱柱有两个面互相平行，其余各面都是四边形，并且每相邻两个四边形的公共边都互相平行，由这些面所围成的几何体叫做棱柱。L底面是正多形棱垂直于底面斜棱柱棱柱正棱柱直棱柱其他棱柱四棱柱底面为平行四边形平行六面体侧棱垂直于底面直平行六面体底面为矩形长方体底面为正方形正四棱柱侧棱与底面边长相等正方体2.棱锥棱锥有一个面是多边形，其余各面是有一个公共顶点的三角形，由这些面所围成的几何体叫做棱锥。正棱锥如果有一个棱锥的底面是正多边形，并且顶点在底面的

2、射影是底面的中心，这样的棱锥叫做正棱锥。3球球的性质：球心与截面圆心的连线垂直于截面；顶点侧面斜高高侧棱底面OCDABHSl侧棱侧面底面EBDCAFBDEAFCrdR球面轴球心半径AOO1B文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W

3、2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文

4、档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM

5、4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y

6、3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK

7、2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J

8、8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 ZT10G8W2W8O7文档编码:CM4B2C3Y3T9 HK2C3Z2J8V10 Z

9、T10G8W2W8O7精品文档收集于网络，如有侵权请联系管理员删除22rRd（其中，球心到截面的距离为d、球的半径为 R、截面的半径为 r）球与多面体的组合体：球与正四面体，球与长方体，球与正方体等的内接与外切.注：球的有关问题转化为圆的问题解决.球面积、体积公式：2344,3SR VR球球（其中 R 为球的半径）平行垂直基础知识网络异面直线所成的角，线面角，二面角的求法1求异面直线所成的角0,90：解题步骤：一找（作）：利用平移法找出异面直线所成的角；（1）可固定一条直线平移平行关系平面几何知线线平行线面平行面面平行垂直关系平面几何知线线垂直线面垂直面面垂直判性判定推论性判判性判面面垂直定1

10、.,/abab2.,/aabb3.,/aa4./,aa平行与垂直关系可互相转化ACDBCDOABOCAAc文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F1

11、0R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文

12、档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO

13、8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M

14、5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO

15、5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2

16、N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8精品文档收集于网络，如有侵权请联系管理员删除另一条与其相交；（

17、2）可将两条一面直线同时平移至某一特殊位置。常用中位线平移法二证：证明所找（作）的角就是异面直线所成的角（或其补角）。常需要证明线线平行；三计算：通过解三角形，求出异面直线所成的角；2 求直线与平面所成的角0,90：关键找“两足”：垂足与斜足解题步骤：一找：找（作）出斜线与其在平面内的射影的夹角（注意三垂线定理的应用）；二证：证明所找（作）的角就是直线与平面所成的角（或其补角）（常需证明线面垂直）；三计算：常通过解直角三角形，求出线面角。3 求二面角的平面角0,解题步骤：一找：根据二面角的平面角的定义，找（作）出二面角的平面角；二证：证明所找（作）的平面角就是二面角的平面角（常用定义法，三垂线

18、法，垂面法）；三计算：通过解三角形，求出二面角的平面角。二、典型例题考点一：三视图1一空间几何体的三视图如图1 所示,则该几何体的体积为 _.2 2 侧(左)视图2 2 2 正(主)视文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2

19、C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码

20、:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2

21、O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2

22、 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M1

23、0T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E

24、3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N

25、7F10R2C8精品文档收集于网络，如有侵权请联系管理员删除俯视图第 1 题2.若某空间几何体的三视图如图2 所示，则该几何体的体积是_.第 2题第 3 题3一个几何体的三视图如图3 所示，则这个几何体的体积为.4若某几何体的三视图（单位：cm）如图 4 所示，则此几何体的体积是.第 4 题第 5 题3 正视图俯视图1 1 2 左视图a 文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码

26、:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2

27、O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2

28、 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M1

29、0T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E

30、3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N

31、7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2

32、C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8精品文档收集于网络，如有侵权请联系管理员删除5如图 5 是一个几何体的三视图，若它的体积是3 3，则a.6已知某个几何体的三视图如图6，根据图中标出的尺寸（单位：cm），可得这个几何体的体积是.7.若某几何体的三视图（单位：cm）如图所示，则此几何体的体积是3cm8.设某几何体的三视图如图8（尺寸的长度单位为m），则该几何体的体积为_m3。第 7 题第 8 题2020正视图20侧视图101020俯视图223221俯视图正(主

33、)视图侧(左)视图2322文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7

34、F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C

35、8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:

36、CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O

37、6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2

38、HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10

39、T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8精品文档收集于网络，如有侵权请联系管理员删除9一个空间几何体的主视图和左视图都是边长为1 的正方形，俯视图是一个圆，那么这个几何体的侧面积为

40、_.图 910.一个三棱柱的底面是正三角形，侧棱垂直于底面，它的三视图及其尺寸如图10 所示（单位 cm），则该三棱柱的表面积为_.图 1011.如图 11 所示，一个空间几何体的主视图和左视图都是边长为1 的正方形，俯视图是一个直径为 1 的圆，那么这个几何体的全面积为_.图图 11 图 12 图 1312.如图 12，一个空间几何体的主视图和左视图都是边长为1 的正三角形，俯视图是一个圆，那么几何体的侧面积为_.13.已知某几何体的俯视图是如图13 所示的边长为2的正方形，主视图与左视图是边长为2的正三角形，则其表面积是_.正视图俯视图文档编码:CO8H2O6M5A2 HO5M10T2N8

41、E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2

42、N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R

43、2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编

44、码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H

45、2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A

46、2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M

47、10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8精品文档收集于网络，如有侵权请联系管理员删除14.如果一个几何体的三视图如图14 所示(单位长度:cm),则此几何体的表面积是_.图 14 15一个棱锥的三视图如图图9-3-7，则该棱锥的全面积（单位：2cm）_.正视图左

48、视图俯视图图 15 16图 16 是一个几何体的三视图，根据图中数据，可得该几何体的表面积是_.图 16 图 1717.如图 17，一个空间几何体的主视图、左视图、俯视图为全等的等腰直角三角形，如果直角三角形的直角边长为1，那么这个几何体的体积为_.俯视图正(主)视图侧(左)视图2 3 2 2 文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T

49、2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3

50、ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F10R2C8文档编码:CO8H2O6M5A2 HO5M10T2N8E3 ZO2N7F

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关键词：: 2022年人教版高中数学必修2立体几何题型归类总结教学提纲 2022 年人教版高中数学必修立体几何题型归类总结教学提纲

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