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我们在解(证)几何问题时,常常可利用轴对称性质构造出一个轴对称图形,这样能使解题过程更加简捷.下面举例说明.例1如图1,△ABC中,∠BAC=60°,AB=2AC,D是△ABC内一点,满足AD=3~(1/2),BD=5,CD=2,求△ABC的面积.分析把△ACD、△CDB、△ADB分别AD、CB、AB作轴对称变换,把分散的线段,集
When we solve the geometric problem, we can often construct an axisymmetric graph by using the axisymmetric property, which can make the solving process more simple. Example 1 As shown in Figure 1, △ ABC, ∠BAC = 60 °, AB = 2AC, D is the point within △ ABC, and satisfies the area of ABC = ADA, ADB = 5 and CD = , CB, AB for axisymmetric transformation, the scattered lines, set