| 关于一类三角形的面积及其性质 |
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| 引用本文： | 胡晓苹.关于一类三角形的面积及其性质[J].绵阳师范学院学报,1997(Z1). |
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| 作者姓名： | 胡晓苹 |
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| 作者单位： | 绵阳市普明中学 绵阳621000 |
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| 摘 要： | 讨论下述课题;中心在原点,焦点在X轴上的椭圆方程为x~2/a~2+y~2/b~2=1设点p(x,y)是椭圆上的一点;且随圆(1)的顶点排除在外,很显然,任意选择椭圆中的两个顶点,并与点p(x,y)连结,都能构成三角形,指出这些三角形面积的性质.同样的,对于共轭双曲线x~2/a~2-y~2/b~2=1,-x~2/a~2+y~2/b~2=1也有相应结果.
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| 关 键 词： | 三角形面积 椭圆顶点 |
On the Area of a Kind of Triangles and Their Properties |
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| Hu Xiaoping.On the Area of a Kind of Triangles and Their Properties[J].Journal of Mianyang Normal University,1997(Z1). |
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| Authors: | Hu Xiaoping |
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| Abstract: | In this paper, we have given a topic which runs as follows:The equatoin of an ellipse,whose center is the origin and whose foci are on the X-axis,is x~2/a~2=1. Let a point P(x,y) be lying on the ellipse and exclude the Vertex of theellipse; evidently, by choosing any two vertexes of the ellipse ,and joint to point P(x,y), we can construct a triangleand show the properties of the area of these triangles. Similarly, the conjugate hyperbolics x~2/a~2-y~2/b~2=1,-x~2/a~2+y~2/b~2=1 also give corresponding results. |
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| Keywords: | area of a triangle Vertex of an ellipse |
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