高三数学专题习复课件专题15数学建模.ppt
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1. 一个人以匀速6米/秒去追停在交通灯前的汽车, 当他距汽车25米时, 灯由红变绿, 汽车以1米/秒2的加速度匀加速开走, 则 ( ) A. 人可在7秒内追上汽车 B. 人可在10米内追赶上汽车 C. 人追不上汽车, 其间最近为10米 D. 人追赶不上汽车, 其间最近为7米
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[解析] 汽车与人的距离为:
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[解析] 汽车与人的距离为:
[答案] D
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2. 一个正方体,它的表面涂满了红色, 在它的每个面上切两刀可得27个小立方块, 从中任取两个, 其中恰有一个一面涂有红色, 一个两面涂有红色的概率为 ( )
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[解析] 因为恰有一面涂有红色的有6个, 恰有两面涂有红色的有12个,则从中任取两个, 其中恰有一个一面涂有红色, 一个两面涂有红色的概率为:
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[解析] 因为恰有一面涂有红色的有6个, 恰有两面涂有红色的有12个,则从中任取两个, 其中恰有一个一面涂有红色, 一个两面涂有红色的概率为:
[答案] C
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近几年,高考的数学科目稳步的加大应用题的考查力度,突出未来数学教育的核心——“建模解决实际问题”. 高考中出现的应用题,大致可分为以下几类: 第一类:与排列、组合、概率有关的应用题;
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第二类:与函数及函数的最值有关的应用题; 第三类:与数列的通项或数列等求和有关的应用题; 第四类:与立体几何或解析几何的位置和轨迹有关的应用题.
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