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1问题呈现命题:有一组对边相等和一组对角相等的四边形是平行四边形。举出反例,说明这个命题是假命题。2思路及解法思路1:分析满足命题条件的四边形的几何特征。分析:从命题条件出发,假设存在一个四边形满足命题条件(有一组对边相等和一组对角相等),通过分析该四边形的几何特征,寻求构造思路。
1 Problem Proposition: A set of quadrilaterals equal to one side and equal to one set of diagonals are parallelograms. Cite counter-examples, indicating that this proposition is a false proposition. 2 ideas and solutions Thinking 1: Analysis of the geometric characteristics of the quadrilateral to meet the conditions of the proposition. Analysis: Starting from the propositional conditions, suppose there exists a quadrilateral satisfying the proposition condition (a group of equal sides and a group of diagonal equal), by analyzing the geometric characteristics of the quadrilateral, seeking to construct ideas.