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坐标系内已知直线如果与x轴构成特殊角,过y轴上一点依次引直线与坐标轴平行,或者是与坐标轴构成特殊锐角的三角形,探究坐标轴上点的坐标,此类问题综合了特殊角的三角函数及“数形结合”方法;另外一次函数解析式中如果一次项系数与常数项有特殊的递推关系,探究直线与坐标轴构成的三角形面积之和问题,考查了数、式转化及探究规律等,下面结合两道中考试题,探究规律问题进行分析,供参考.
The known straight line in the coordinate system, if it forms a special angle with the x axis, draws a straight line parallel to the coordinate axis through a point on the y axis or a triangle with a special acute angle with the coordinate axis to explore the coordinate of the point on the coordinate axis. The special angle trigonometric function and “number form combination ” method; another function analytic formula if the primary coefficient and constant term has a special recurrence relationship, to explore the sum of the triangle and the axis of the triangle formed by the sum of the problem The number of conversion and the law of inquiry, the following combination of two middle school exam questions, to explore the law of analysis for reference.