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勾股定理应用时,与一类立体图形结合能较好地培养学生的空间观念、抽象思维能力以及用代数方法解决几何问题的能力。结合实际问题,从立体图形中概括出直角三角形求斜边,能解决求解最值的这类问题,起到很好地强化知识、训练能力的目的。一、在内求最大值例1将一根长24cm的筷子,置于底面直径为5cm高为12cm的圆柱体水杯中,筷子露在杯子外面的最短长度为____.分析如图1,圆柱体底边沿A和顶边沿C为靠着点时,筷子没入杯中AC最长,此时AC是以圆柱体高
Pythagorean theorem, when combined with a class of three-dimensional graphics can better cultivate students’ space concept, abstract thinking ability and algebraic method to solve the problem of geometric ability. Combining with the practical problems, this paper summarizes the hypotenuse of right-angled triangle from the three-dimensional figure, which can solve the problem of solving the most value and plays a good role in strengthening knowledge and training ability. First, the maximum value in the example 1 will be a length of 24cm chopsticks, placed in the bottom diameter of 5cm high as 12cm cylinder cups, chopsticks exposed cup outside the shortest length of ____. Analysis of Figure 1, cylindrical Bottom of the body along the edge of the edge A and C is relying on the point, the chopsticks into the cup AC longest time AC at this time is a cylinder height