2022年北师大版七下《平方差公式》word教案2篇 .pdf

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1、名师精编优秀教案讲学合一学习模式课型：新授课主备人：李冰审核：郑雪伟时间：2010-3-3 课题：1.7 平方差公式(二)学习目标：进一步使学生理解掌握平方差公式，并通过小结使学生理解公式数学表达式与文字表达式在应用上的差异学习重点和难点：公式的应用及推广一、自主学习整体感知课本 P37，自学课本1(1)用较简单的代数式表示下图纸片的面积(2)沿直线裁一刀，将不规则的右图重新拼接成一个矩形，并用代数式表示出你新拼图形的面积比较这两个结果，你能验证平方差公式吗？二、合作交流文本探究1、叙述平方差公式的数学表达式及文字表达式；2、试比较公式的两种表达式在应用上的差异依照公式的文字表达式可写出下面两

2、个正确的式子：3判断正误：(1)(4x+3b)(4x-3b)4x2-3b2；()(2)(4x+3b)(4x-3b)16x2-9；()(3)(4x+3b)(4x-3b)4x2+9b2；()(4)(4x+3b)(4x-3b)4x2-9b2；()三、课内检测巩固提高1、运用平方差公式计算：名师精编优秀教案(1)10298；(2)(y+2)(y-2)(y2+4)2运用平方差公式计算：(1)10397；(2)(x+3)(x-3)(x2+9)；(3)59.860.2；3请每位同学自编两道能运用平方差公式计算的题目4、填空：1）、(1)a2-4(a+2)()；(2)25-x2(5-x)()；(3)m2-n2

3、()()；2）、x2-25()()；3）、4m2-49(2m-7)()；4）、a4-m4(a2+m2)()(a2+m2)()()；5、计算：(1)(a+b-3)(a+b+3)；(2)(m2+n-7)(m2-n-7)拓展延伸迁移升华1运用平方差公式计算：(1)(a2+b)(a2-b)；(2)(-4m2+5n)(4m2+5n)；(3)(x2-y2)(x2+y2)；(4)(9a2+7b2)(7b2-9a2)2运用平方差公式计算：(1)6971；(2)5347；文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 Z

4、F7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档

5、编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K

6、9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4

7、 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4

8、文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T

9、3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6

10、D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4名师精编优秀教案小结：1什么是平方差公式？一般两个二项式相乘的积应是几项式？2平方差公式中字母 a、b可以是那些形式？3怎样判断一个多项式的乘法问题是否可以用平方差公式？教学反思；讲学合一学习模式课型：新授课主备人；郝红旗审核：郑雪伟时间：2010-3-3 课题：1.8 完全平方公式(1)学习目标：1、经历探索完全平方公式的过程，进一步发展学生的符号感和推理能力；2、会推导完全平方公式，并能运用公式进行

11、简单的计算；3、了解完全平方公式的几何背景。学习重点：1、弄清完全平方公式的来源及其结构特点，能用自己的语言说明公式及其特点；2、会用完全平方公式进行运算。学习难点：会用完全平方公式进行运算学习方法：探索讨论、归纳总结。1、计算：（1）（mn+a）（mn-a）（2）（3a 2b）（3a+2b）（3）（3a+2b）（3a+2b）（4）（3a 2b）（3a-2b）自主学习整体感知课本 P40 自学课本一块边长为 a米的正方形实验田，因需要将其边长增加b 米，形成四块实验田，以种植不同的新品种。（如图）b 用不同的形式表示实验田的总面积，并进行比较文档编码:CZ1S5R6T3K9 HP5R2Y9K6

12、D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10

13、N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R

14、6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9

15、K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H

16、10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S

17、5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2

18、Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4名师精编优秀教案你发现了什么？a a b 合作交流文本探究观察得到的式子，想一想：（1）（a+b）2等于什么？你能不能用多项式乘法法则说明理由呢？（2）（a-b）2等于什么？小颖写出了如下的算式：（ab）2=a+（b）2。她是怎么想的？你能继续做下去吗？由此归纳出 完全平方公式：课内检测巩固提高1、下列各式中哪些可

19、以运用完全平方公式计算（1）caba（2）xyyx（3）abxxab33（4）nmnm2、计算下列各式：（1）baba7474（2）nmnm22（3）baba21312131（4）xx2525（5）233222aa（6）33221221xxxx文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3

20、K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D

21、4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N

22、4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6

23、T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K

24、6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H1

25、0N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4名师精编优秀教案4、

26、填空：（1）yxyx3232（2）1816142aaa（3）9_49137122baab拓展延伸迁移升华1、求2yxyxyx的值，其中2,5 yx2、若的值。求xyyxyx,16)(,12)(22小结：熟记完全平方公式，会用完全平方公式进行运算。作业：课本P36习题 1.13：1、2。教学反思：文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4

27、ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文

28、档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3

29、K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D

30、4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N

31、4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6

32、T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4文档编码:CZ1S5R6T3K9 HP5R2Y9K6D4 ZF7C9K8H10N4