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数学思想方法在问题解决的过程中,往往起到评估、决策的作用.下面对一道课本例题进行探讨,基于不同的数学思想方法,就有不同的解法.例如图1,已知在⊙O中,直径AB为10cm,弦AC为6cm,∠ACB的平分线交⊙O于D,求BC、AD和BD的长.题目没有要求求CD的长,那么CD的长如何求呢?
Mathematical thinking method in the process of problem solving, often play the role of assessment, decision-making.Considering the textbook examples to explore the following, based on different mathematical thinking methods, there are different solutions.For example, Figure 1, known in ⊙O , The diameter AB is 10cm, chord AC is 6cm, 平 ACB bisector ⊙ O in D, seeking BC, AD and BD long. The title does not require the CD’s long, then the CD how long?