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存在性问题大多以函数图象为载体来研究事物的存在性,解题的技巧性和综合性较强,对知识的迁移能力、灵活运用能力和分析问题的能力要求又高,所以是近年来全国各地中考数学试题的压轴型题目。一、三角形相似(全等)的存在性问题例1.(2013·黔西南州,节选)如图,已知抛物线经过A(-2,0),B(-3,3)及原点O,顶点为C。(1)求抛物线的函数解析式。(3)P是抛物线上第一象限内的动点,过点P作PM⊥x轴,垂足
Most of the existential problems are based on the function image as the carrier to study the existence of things. The problem-solving skills and comprehensiveness are strong, and the ability of knowledge transfer, flexibility and problem-solving are highly demanding. Therefore, in recent years Across the country in the math test finale-type topics. First, the triangular similarity (congruent) the existence of the problem Example 1. (2013 Qianxinan Prefecture, excerpt) As shown, the known parabola through A (-2,0), B (-3,3) and the origin of O, The vertex is C. (1) Find parabolic function analytic formula. (3) P is the moving point in the first quadrant of the parabola, P point for PM ⊥ axis, foot drop