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上海市交大附中2019届高三数学一模试题含解析

上海市交大附中2019届高三数学一模试题含解析
上海市交大附中2019届高三数学一模试题含解析

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一、概念课 【教案样例】 教学目标: 1.知道命题、真命题、假命题,理解命题的推出关系、等价关系,推出关系的传递性; 2.在探究命题推出关系的过程中,体会举反例判断假命题的要领,初步会用推出关系的传递性证明一个命题是真命题的方法; 3.在认识一些基本的逻辑关系及其运用活动中,体会逻辑语言在数学表达和论证中的作用, 确立真命题必须作出证明的数学意识. 教学重点:理解命题的推出关系. 教学难点:运用逻辑语言表述和判断假命题、论证真命题. 教学过程: 2.概念形成:(教学提示:这一环节可采用教师引领下的学生阅读教材或学生阅读教师呈现的PPT 素材,教师引导学生举反例判断假命题用逻辑语言论证真命题,激发学生积极思考、参与教学的热情) (1)命题的构成:在数学中常见的命题由条件与结论两部分组成. 如命题“如果2x >,那么24x >”,其中2x >是条件,2 4x >则是结论. 2x y +=,但不满足命题结论11x y ≥≥且.

如命题“末两位数是12的正整数能被4整除”是一个真命题.理由:因为末两位数是12的正整数可以写成10012k +的形式(* k N ∈),而100124(253)k k +=+,所以10012k +能被4整除.即命题“末两位数是12的正整数能被4整除”是一个真命题. (4)推出关系: 一般地说,如果命题α成立可以推出命题β成立,那么就说由α可以推出β,并用记号“βα?”,读作“α推出β”. 也就是说,βα?表示以α为条件、β为结论的命题是真命题. 如果α成立不能推出β成立,记为“βα?/”,读作“α推不出β”.换言之,βα?/表示以α为条件、β为结论的命题是假命题. (5)等价关系: 如果αβ?,并且βα?,那么记作αβ?,叫做α与β等价. 数学交流: (1) 阅读教材16P 第1行至第11行,说一说利用推出关系的传递性证明一个命题是真命题的基本方法.(教学提示:教师概括) (2)推出关系“?”是一种关系符号,具有传递性,试举出具有传递性的其他关系符号…… 3.概念应用(教学提示:采用师生共同完成,或让学生独立完成,再选代表交流,提问是否有不同答案,进一步明晰概念,达成正确理解概念的目的) 【属性】高一(上),集合与命题,命题与推出关系,解答题,中,分析问题解决问题 【题目】 下列语句哪些不是命题,哪些是命题?如果是命题,那么他们是真命题或是假命题?为什么?

上海交通大学附属中学 2018-2019 学年第一学期 高三英语摸底考试卷

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最新上海市高三一模化学试卷(含答案)

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全国百强校教师原创上海交大附中学高一上学期数学精品教学案 : 命题的形式及等价关系二

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