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近年来长春市中考的最后一道题都在教育部制定的数学课程标准指导下在教材中所学的知识范围内综合考查运用所学的代数、几何知识分析问题及解决问题的能力.题目立意新颖考查知识面宽.下面我们来分析2012年长春市中考压轴题.如图,在Rt△ABC中,∠ACB=90°,AC=8cm,BC=4cm.D、E分别为边AB、BC的中点,连结DE.点P从点A出发,沿折线AD-DE-EB运动,到点B停止,点P在线段AD上以5~(1/2)cm/s的速度运动,在折线DE-EB上以1cm/s的速度运动,当点P与点A不重合时,过点P作PQ⊥AC于点Q,以PQ为边作正方体PQMN,使点M在线段AQ上,设点P的运动时间为t(s).
In recent years, Changchun City Examination in the final question in the Ministry of Education under the guidance of mathematics curriculum standards in the textbook knowledge of the comprehensive examination of the use of the study of algebra, geometry knowledge and problem-solving problems. In the following, we analyze the field test of Changchun city in 2012. As shown in Fig. 1, ∠ACB = 90 °, AC = 8cm, BC = 4cm.D, E are the edges AB, BC Point P, starting from point A, moving along the folding line AD-DE-EB, stopping at point B, moving the point P on the segment AD by 5 1/2 (1/2) cm / s, DE-EB to 1cm / s speed of movement, when the point P and point A does not coincide, the point P for PQ⊥AC at point Q, with PQ as the side of the cube PQMN, the point M on the line segment AQ set The movement time of point P is t (s).