高中数学_(立体几何中的向量方法).ppt
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3.2《立体几何中的向量方法》
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教学 目标
向量运算在几何证明与计算中的应用,掌握利用向量运算解几何题的方法,并能解简单的立体几何问题。
教学重点:向量运算在几何证明与计算中的应用。
教学难点:向量运算在几何证明与计算中的应用;
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上一节的课外思考题
练习巩固
引入
方法的分析
课外练习
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H
分析:面面距离转化为点面距离来求
尝试:
∴所求的距离是
课本第114页例1的思考(3)
晶体中相对的两个平面之间的距离是多少?(设棱长为1)
几何法较难,如何用向量知识求点到平面的距离?
几何分析加向量运算 妙!妙!妙!
能否用法向量运算求解呢?
可证得
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如何用向量法求点到平面的距离:
思考题分析
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详细答案
D
A
B
C
G
F
E
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D
A
B
C
G
F
E
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1答案
2答案
2.(
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