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《中小学数学》(初中版)2014年第4期《过任意点都能作一条直线平分三角形面积吗》,文中给出了“过三角形一边上任意点作直线平分三角形面积”的尺规作图方法.文章还提出两个未解决的问题:①过平面内任意点是否一定有一条直线平分三角形的面积?②平分三角形面积的直线是否都可以用尺规作出来.本人在平时的教学过程中对这方面问题也积累了一些经验.对于过平面内任意点是否一定有一条直线平分三角形的面积?答案是肯定的.其实,不仅对三角形而且对于任意一个平面图形都存在无数条直
“Elementary and middle school mathematics” (junior high school edition) 2014 the fourth period “can any point be a straight line bisect the triangle area?”, Given in the paper “over a triangle on any side for a straight line bisect the triangle area” The article also proposed two unsolved problems: ① whether any point in the plane must have a straight line bisect the area of the triangle? ② bisect the area of the triangle area can be used to make a rule .I usually The teaching process has accumulated some experience in this area.For any point in the plane is there anyway there must be a straight line bisecting the area of the triangle? The answer is in the affirmative .In fact, not only for the triangle but also for any one of the planar graphics there are numerous straight