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对试题的研究是教师在教学和复习中经常做的一件事,通过研究把蕴涵其中的数学思想方法揭出来,挖掘出隐含的问题的本质属性.不但可以提高学生的空间想象、逻辑思维能力、分析和解决问题的思维技能,优化数学的思维品质.而且还可以培养学生探索创新的能力.本文以2012年4月绍兴县九年级数学期中调测的一道题目为例,做一些探索.例1如图1,在ΔABC中,已知∠BAC=45°,AD上BC于D,BD=2,DC=3,求AD的长.
The study of test questions is one of the most frequently done by teachers in teaching and reviewing, which reveals the essence of implicit problems by exposing the mathematical thoughts contained in them, which not only improves students’ space imagination and logical thinking Ability to analyze and solve the problem of thinking skills to optimize the thinking quality of mathematics, but also to cultivate students’ ability to explore innovation.This article takes April 2012 Shaoxing County ninth grade mathematics period as a test of commissioning as an example, do some exploration. Example 1 As shown in FIG. 1, in ΔABC, it is known that ∠BAC = 45 °, AD on BC, D, BD = 2, and DC = 3.