教 学 内 容 | ||
第12课时 【课 题】平移公式 【教学目标】 〖知识目标〗1、理解平移公式的推导过程 2、掌握平移公式，并运用它解决实际问题 〖技能目标〗提高学生的抽象思维能力 〖德育目标〗培养学生的辨证思维能力 【教材分析】 〖教学重点〗平移公式的理解记忆 〖教学难点〗灵活运用平移公式解决实际问题 〖教学关键〗准确把握公式中各个字母变量的含义 【课 型】新授课 【教 法】启发式、分层次教学 【教具及课前准备】 【教学过程】 〖组织教学〗 〖引入课题〗平移概念在初中学习函数图形时就已经使用，而平移本身就是一个向量，这节课将在学习向量的基础上，来学习平移公式。为此，先来复习向量的加法及三角形法则。如图： C
A B 即 〖顺序讲解〗 1、 平移的概念 如果在坐标平面内图形 距离到 2、平移公式
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这就是平移公式。 F 3、例题讲解 例1、把点A（-2，1）按向量 即 例2、已知函数y=x2图象F（如图），按向量 解：在曲线F上任取一点P0（x0，y0），设它在 x= x0-2 y=y0+3 ∴x0=x+2 y0=y-3 因P0在F上，将上式代入方程y=x2得 y-3=（x+2）2 即y=（x=2）2+3 这就是图形F的方程。 〖教师小结〗 一般地，函数y=f（x）的图象按向量 〖指定作业〗 【板书设计】
【课 后 记】理解公式中每个量的含义，强化训练。 | ||
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