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1.借“题”:《数学》(八年级上册)第65页第6题.发挥:如图1,在△ABC中,DE是AC的垂直平分线.DE交BC于D,交AC于E.(1)若△ABD的周长为13 cm,则AB+BC=_______cm.(2)在(1)的条件下,若AE=3cm,求△ABC的周长【命题意图】关注几何求解中的转化思想.2,借“题”:《数学》(八年级上册)第66页第13题.发挥:如图2,△ABC中,边AB,BC的垂直平分线相交于点P连接AP,BP,CP.(1)求证:PA=PB=PC.(2)点P是否也在边AC的垂直平分线上?(3)能否以点P为圆心画一个圆,这个圆同时经过A,B,C三点?
1. Borrow “question ”: “Mathematics” (eighth grade) page 65, sixth issue. Play: As shown in Figure 1, in △ ABC, DE is the AC vertical bisector. AC in E. (1) If the circumference of △ ABD is 13 cm, AB + BC = _______ cm. (2) If AE = 3cm, find the circumference of ABC under the condition of (1) Concerned about the geometric transformation of the idea of thinking .2, borrow “questions ”: “Mathematics” (grade eight) page 66th Title 13. Play: As shown in Figure 2, △ ABC, AB, BC vertical bisector (1) PA = PB = PC. (2) Is the point P also on the perpendicular bisector of the side AC? (3) Is it possible to draw a circle around the point P Circle, this circle at the same time after A, B, C three?