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平面直角坐标系内线段与坐标系不平行时,以线段为边,构造直角三角形或等腰三角形探究坐标轴上第三个顶点坐标问题,综合考查线段的垂直、勾股定理、三角形的相似以及直角三角形与等腰三角形的性质等。解答此类问题,需结合分类讨论、图形转化、数形结合以及方程等数学思想方法,在部分省市的中考试题中,常常综合一次函数、反比例函数与二次函数等知识,探究特殊三角形顶点存在性问题。下面笔者结合例题对此类问题进行分析。1探究与一次函数、反比例函数有关的直角
When the line segment of the plane rectangular coordinate system is not parallel to the coordinate system, the line segment is the edge, and the third vertex coordinate problem on the inquiry coordinate axis is constructed with a right triangle or isosceles triangle, and the vertical and Pythagorean theorem of the line segment and the similarity of the triangle are comprehensively examined. Right triangles and the nature of isosceles triangles. In order to answer such questions, it is necessary to combine mathematics methods such as classification discussion, graphic transformation, mathematical combination, and equations. In the middle examination questions of some provinces and cities, knowledge such as functions, inverse proportion functions, and quadratic functions is often integrated to explore the special triangle vertices. There are sexual issues. The following article analyzes such issues with examples. 1 Explore right angles related to a function, inverse proportional function