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    當前位置:文檔庫 > 2019人教A版數學必修五《基本不等式》文理科集體備課論課說課稿第十五周

    2019人教A版數學必修五《基本不等式》文理科集體備課論課說課稿第十五周

    湖南省新田一中高二數學文理科集體備課論課說課稿(第十五周)

    課題:基本不等式

    今天我說課的內容選自普遍高中課程標準實驗教科書(人民教育出版社出版高中數學A 版) 必修5,第3章第4節《基本不等式》我主要從教材分析,教法學法分析,教學過程分析,評價分析,教學反思等五個方面進行說課。

    一、教材分析:

    (一)本節課的地位、作用和意義

    基本不等式又稱為均值不等式,學生在初中學習了完全平方公式、圓、初步認識了不等式,同時,在本章前面三節學習了比較大小、一元二次不等式解法和簡單線性規劃等,這些給本節課提供了堅實的基礎;基本不等式是后面應用基本不等式求最大(小)值的基礎,在高中數學中有著比較重要的地位,在工業生產等有比較廣的實際應用。

    (二)教學目標

    我通過解讀新課標和分析教材以及對學生現狀的分析確定以下教學目標:

    2019人教A版數學必修五《基本不等式》文理科集體備課論課說課稿第十五周

    3、情感、態度、價值觀目標

    (1)通過探索均值不等式的證明過程,培養探索、研究精神;

    (2)通過對均值不等式成立的條件的分析,養成嚴謹的科學態度,勇于提出問題、分析問題的習慣。

    (三)重點難點

    依據教材的上述地位和作用,我確定如下教學重難點:

    重點:通過對新課程標準的解讀,教材內容的解析,我認為結果固然重要,但數學學習過程更重要,它有利于培養學生的數學思維和探究能力,所以應用數形結合的思想理解基本不等式為重點之一,并從不同角度探索基本不等式ab b a ≥+2

    證明過程;再者,均值不等式有比較廣的應用,需重點掌握,而掌握均值不等式,關鍵是對不等式成立條件的準確理解,因此,均值不等式成立的條件及應用也是教學重點。

    突出重點的方法:我將采用分組討論,多媒體展示、引導啟發法來突出基本不等式的推導。

    難點:很多同學對均值不等式成立的條件的認識不深刻,在應用時候常常出錯誤,所以,本節課的難點是基本不等式成立的條件以及應用基本不等式求最大值和最小值。

    突破難點的方法:我將采用重復法(在課堂的每一環節,以各種方式進行強調均值不等式和其成立的條件),變式教學等等來突破均值不等式成立的條件這個難點。

    二、教法學法分析

    1、教法的解析 先讓學生觀察常見的圖形,通過面積的直觀比較抽象出重要不等式。從生活中實際問題還原出數學本質,可調動學生的學習熱情。定理的證明要留給學生充分的思考空間,讓他們自主探究,通過類比得到答案。“將課堂還給學生,讓課堂煥發出生命的活力” 是進行教學的指導思想,充分發揮教師的主導作用和學生的主體作用,采用“啟發—探究—討論”式教學模式。

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