冀教版七年级下册数学 8.1同底数幂的乘法 教案
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| 名称 | 冀教版七年级下册数学 8.1同底数幂的乘法 教案 |  | |
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| 资源类型 | 教案 | ||
| 版本资源 | 冀教版 | ||
| 科目 | 数学 | ||
| 更新时间 | 2021-06-17 19:57:15 | ||
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七年=
级数学下册第八章整=
4335;的乘法
8.1
同底数幂的乘法
教学目标
（一=
）教学知识点
1
=
．理解同&#=
24213;数幂的乘法法则．
2
=
．运用同&#=
24213;数幂的乘法法则解Ñ=
15;一些实际问题．
（二=
）能力训练要求
1
=
．在进一&#=
27493;体会幂的意义时，Ö=
57;展推理能力和有条理=
的表达能力．
2
=
．通过
“
同底数幂的乘法=
法则
”
的推导和应用，=
使学生初步理解=
“特殊
──
一般
──
特殊”的=
5968;学思想．
（三=
）情感与价值观要求
体会=
数学思想方法，激发=
3398;生探索创新的精神ᦁ=
4;
学情分析
在前=
面的学习中，学生已=
2463;学习了用字母表示ਤ=
8;以及整式的加减运算&=
#65292;但是用字母表示幂=
197;及幂的运算，尚属首=
;次，幂的运算抽象程&#=
24230;较高，不易理解。ĥ=
05;别是对于
am+n
的指数理&#=
35299;，因为它不仅抽象ò=
30;高，而且运算结果反=
映在指数上，学生第=
9968;次接触，也很难理=
9;。教学时，应引导学&=
#29983;回顾乘方的意义，=
174;数式通性的角度理解=
;字母表示的幂的意义&#=
65292;进而明确同底数幂į=
40;乘法的算理。
教学重点
同底=
数幂的乘法的运算法=
1017;．
教学难点
同底=
数幂的乘法的运算法=
1017;的理解与应用．
教学方法
探究=
教学法：利用学生已=
6377;的知识对所学内容=
7;行自主探究、发现，&=
#22312;发现，在应用。此=
963;动中培养学生的探索=
;创新精神与创新能力&#=
65294;
教学过程
（一）．&#=
25552;出问题，创设情境
回顾
an
的意义：
[
=
师
]
在七年级我们已ಮ=
3;学习了有理数乘方的&=
#30693;识，现在请同学们=
238;忆一下
an
的意义是什么？=
，其中
a,n,an
各表示什&#=
20040;？
[
=
生
]an
表示
n
个
<=
span
lang=3DEN-US
style=3D'font-size:14.0pt'>a
相乘，这种求
<=
span
lang=3DEN-US
style=3D'font-size:14.0pt'>n
个相同因数的积=
的运算运算叫做乘方=
5294;其中
a
叫做底数，
n
叫做指数，把
<=
span
lang=3DEN-US
style=3D'font-size:14.0pt'>an
的结果叫幂。
<=
span
lang=3DEN-US
style=3D'font-size:14.0pt'>
[
=
师
]
我们做一下练习ᦂ=
6;
25
表示什么？
1
0
×10
×10×10
×10
可以&#=
20889;成什么形式？
[
=
生
]5
个
2
相乘，写成
105
[
=
师
]
回答非常正确，ߡ=
0;天我们继续学习与幂&=
#26377;关的新知识。
问题
1
：一种电&#=
23376;计算机每秒可进行1
千万亿（
1015
）次运算，它工=
作
103
秒可进行&#=
22810;少次运算？
[
=
师
]
能不能根据题意࠵=
5;出算式呢？
[
=
生
]
运算次数
=3D
运算速度
×
工作时间
所以=
计算机工作
103
秒可进行&#=
30340;运算次数为：
1015×103
．
[
=
师
]
根据乘方的意义ࣳ=
4;何计算
1015×103
呢？
[
=
生
]
101=
5×103=3D
×
（
10×10×10
）
（乘方的&#=
24847;义）
=3D
（乘法的&#=
32467;合律）
=3D1018
．
（乘方的&#=
24847;义）
[
=
师
]
真棒！在上边运=
9;中可以发现
1015
、
103
这两个因数是同=
底数幂的相乘的形式=
5292;所以我们把像
1015×103
的运算叫&#=
20570;同底数幂的乘法．
&nb=
sp;
下面=
我们来探究同底数幂=
0340;乘法的运算法则。
（二）探&#=
31350;学习，解析新知
问题
2
1
=
、根据乘&#=
26041;的意义填空：
25<=
/sup>×22=3D
（
=
）
<=
span
lang=3DEN-US
style=3D'font-size:14.0pt'>×
（
）
=3D2
（
）
=3D2
（
）
+
（
）
．
a3<=
/sup>·a2=3D
（
）
·
（
）
=3Da
（
&n=
bsp;
）
=3Da
（
）
+
（
）
5m
·5n=3D
（
=
）（=
）
=3D5
（
）
+
（
）
（小=
组讨论，交流，教师=
4033;视）
[
=
师
]
请同学们根据乘ਬ=
1;的意义进行填空。
[
=
生
]
（
1
）
25×22=3D
（
2×2×2×2×2
）
×
（
2×2
）
=3D27=3D25+2
．
因为=
25
表示
5
个
<=
span
lang=3DEN-US
style=3D'font-size:14.0pt'>2
相乘，；
22
表示
2
个
<=
span
lang=3DEN-US
style=3D'font-size:14.0pt'>2
相乘，共有
7
个
2
相乘，
25×22=
=3D27
，同样道&#=
29702;可得
a3·a2=3D
（
a·a·a）·（a·a<=
/span>）=3Da5<=
/sup>=3Da3+2
．=
5m
·5n=3D
×
=3D5m+n
．
2
=
、
[
师
]
请同学们观察上=
面各题中等号左边是=
0160;么运算？等号两边=
0;底数、指数有什么关&=
#31995;？用语言描述出规=
459;。
[
=
生
]1[
生
]2[
生
]3
[
=
师
]
总结同学们的描=
8;，我们可以归纳如下&=
#20851;系：
（一=
）等号左边都是底数=
0456;同的幂相乘．
（二=
）等号右边的底数与=
1561;号左边的底数相同
（三=
）等号右边的指数是=
1561;号左边的两个指数ࡴ=
4;．
3
=
、
[
师
]
根据规律猜想：=
am·an=
=3D?
并尝试证&#=
26126;你的结论。
[
=
生
]am·an=3Dam+n<=
o:p>
[
=
师生共同]
根据乘方的意义=
可得：
=3D=3Dam+n
am<=
/sup>·an=3D
·
=3D
=3Dam+n
[
=
师
]
通过证明有
am·an=3Dam+n
（
m
、
n
都是正整数）
，（板书）这就是同=
;底数幂的乘法的运算&#=
27861;则，请同学们用语š=
28;来描述此法则
[
=
生
]
同底数幂&#=
30456;乘，底数不变，指ă=
68;相加（板书）
[
=
师
]
好，请同学们齐=
5;一下同底数幂的乘法&=
#30340;法则。
说明
法则在使&#=
29992;时要注意以下两点ʍ=
06;条件：⑴&#=
21516;底数幂
&n=
bsp;
⑵乘&=
#27861;运算
&n=
bsp;
结果=
：
⑴底数不=
1464;
&n=
bsp;
⑵
指数相加
拓展=
思考：
[
=
师
]
在
am·an=3Dam+n
（
m
、
n
都是正整数）
式子中表&#=
31034;的是两个同底数幂į=
40;相乘，那么当三个或=
三个以上同底数幂相=
0056;时，此法则是否还=
7;用呢？以
am·an&=
middot;ap=3D
？为例。
[
=
生
]am·an·ap=3D
·
·
=3Dam+n+p
．
[
=
师
]
：恩，回答非常ઽ=
1;确，从刚才的结果我&=
#20204;知道当三个或三个=
197;上同底数幂相乘时，=
;此法则同样适用。下&#=
38754;我们就可以用这些Ė=
61;则来解决一些实际问=
题。
（三ᦀ=
9;应用新知，巩固提高<=
/span>
例计=
算
（
<=
span
lang=3DEN-US
style=3D'font-size:14.0pt'>1
）
x2·x5
(2)
a·a6
(3)
（－
2
）
×
（－
2
）
4
×
（－
2
）
<=
sup>3
(4)
xm=
·x3m+1=
[
=
师
]
我们先来看例是ߎ=
1;是可以用同底数幂的&=
#20056;法法则呢？
[
=
生
1]
（
1
）、（
2
）、（
3
）、（
4
）都可以直接用
“
同底数幂相乘，=
底数不变，指数相加”
的法则．
[
=
师
]
同学们分析得很ࣲ=
9;．（教师板È=
70;，学生说过程，）
（
1
）
解
：x2·x5=3Dx2+5=3Dx7
．=
（
2
）
解
：a·a<=
sup>6=3Da1·a6=3Da1+6=3Da=
7
．
学生解说
a=3Da1
？
（
<=
span
lang=3DEN-US
style=3D'font-size:14.0pt'>3
）解：（－
2
）
×
（－
2
）
4
×
（－
2
）
<=
sup>3
=3D
（－
2
）
1+4+3
=3D
（－
2
）
<=
sup>8
=3D28
．解说当出现负=
数的幂时结果要化简=
2290;如：（
-2
）
8
=3D28
，（
-3
）
5
=3D-35
=
（
<=
span
lang=3DEN-US
style=3D'font-size:14.0pt'>4
）解：
xm·x3m+1=3Dxm+（
3m+1
）
=3Dx4m+1
．
[
=
师
]
下面我们做一个ଅ=
6;戏：一棵大树上挂有<=
/span>7
盏灯笼，每盏灯=
笼里都有两道题，每=
9968;个小组选派一名代ඤ=
0;来选择灯笼号，然后&=
#20570;相对应的题目，答=
545;一题得
10
分，打错不得分=
，答错同学可以找同=
2452;同学帮忙，但要扣৴=
1;相应的分数
5
分，分高者优胜=
。
灯笼=
1
计算（抢答）：=
（
1
）
105
×
106
（
2
）
a7
·a3
灯笼=
2
判断对错，并说=
明理由：（
1
）
b3·b3=3D2b3
(
)
(2)b5+b5=3Db10
(
)
灯笼=
3
计算（板演）：=
（
1
）（
-3
）
<=
sup>4
×
（
-3
）
5
（
2
）
-a4×a3
=
灯笼=
4
计算（抢答）：=
（
3
）
x5
·x5
=
（
<=
span
lang=3DEN-US
style=3D'font-size:14.0pt'>4
）
b5
·
b
灯笼=
5
判断对错，并说=
明理由：
(3)x·x5=3Dx5=
(
)
=
(4)y2·y3=3Dy6(
)
灯笼=
6
(3)y2n&midd=
ot;yn+1
(4)(x+y)3·(x+y)
·(x+y)2
灯笼=
7
填空：
(5)
16=3D2x,
x=
=3D(
)
4
×
8=3D2x
，则
x=3D(
)
板演=
：
(6)
(n-m)2&m=
iddot;
(m-n)3
[
=
师
]
下面我们从第
1
小组开始选取灯=
笼，依次
2
组…
&nb=
sp;
（师生共&#=
21516;活动，学生根据题ø=
47;说答案或板演，教师=
点评）
&nb=
sp;
根据=
同学们的回答与板演=
8857;评，并指出做题时=
0;注意事项：
1
=
、
-a4
中底数为
a
，读作
a4
的相反数，计算=
时可以看做
-1×a4
2
=
、当底数&#=
20114;为相反数时，要把ò=
13;数统一成同底数幂然=
后再按法则进行运算=
2290;
3
=
、通过上&#=
36793;这些题可以看出
a
可以是一个数，=
一个字母，也可以是=
9968;个多项式。当底数ߒ=
6;多项式时，我们要把&=
#23427;看做一个整体加上=
567;括号。
（四ᦀ=
9;课堂小结
[
=
师
]
这节课我们学习ߚ=
2;同底数幂的乘法的运&=
#31639;性质，
请同学们谈一下=
有何新的收获和体会=
1602;？
[
=
生
]
通过本节学习我=
3;道了同底数幂乘法的&=
#36816;算性质．
[
=
生
]
同底数幂相乘法࠵=
7;对于三个或三个以上&=
#21516;底数幂相乘时也同=
679;适用。
[
=
师
]
同学们总结了本=
0;知识，除此之外，这&=
#33410;课我们在探索法则=
102;还体现了一种重要的=
;数学思想，即“特殊=
5288;例子）——一般（公=
式）——特殊（应用ʌ=
89;”
（五ᦀ=
9;课后作业
1
=
．必做题&#=
65306;课本
P96
练习（
1
）、（
2
），（
3
），（
4
）
2
=
、选做题&#=
65306;
am=3D2,an=3D3=
,
求：
am+n
的值
板书=
设计
3D"文本框:
<=
span
lang=3DEN-US
style=3D'font-size:14.0pt'>
&nb=
sp;
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七年=
级数学下册第八章整=
4335;的乘法
8.1
同底数幂的乘法
教学目标
（一=
）教学知识点
1
=
．理解同&#=
24213;数幂的乘法法则．
2
=
．运用同&#=
24213;数幂的乘法法则解Ñ=
15;一些实际问题．
（二=
）能力训练要求
1
=
．在进一&#=
27493;体会幂的意义时，Ö=
57;展推理能力和有条理=
的表达能力．
2
=
．通过
“
同底数幂的乘法=
法则
”
的推导和应用，=
使学生初步理解=
“特殊
──
一般
──
特殊”的=
5968;学思想．
（三=
）情感与价值观要求
体会=
数学思想方法，激发=
3398;生探索创新的精神ᦁ=
4;
学情分析
在前=
面的学习中，学生已=
2463;学习了用字母表示ਤ=
8;以及整式的加减运算&=
#65292;但是用字母表示幂=
197;及幂的运算，尚属首=
;次，幂的运算抽象程&#=
24230;较高，不易理解。ĥ=
05;别是对于
am+n
的指数理&#=
35299;，因为它不仅抽象ò=
30;高，而且运算结果反=
映在指数上，学生第=
9968;次接触，也很难理=
9;。教学时，应引导学&=
#29983;回顾乘方的意义，=
174;数式通性的角度理解=
;字母表示的幂的意义&#=
65292;进而明确同底数幂į=
40;乘法的算理。
教学重点
同底=
数幂的乘法的运算法=
1017;．
教学难点
同底=
数幂的乘法的运算法=
1017;的理解与应用．
教学方法
探究=
教学法：利用学生已=
6377;的知识对所学内容=
7;行自主探究、发现，&=
#22312;发现，在应用。此=
963;动中培养学生的探索=
;创新精神与创新能力&#=
65294;
教学过程
（一）．&#=
25552;出问题，创设情境
回顾
an
的意义：
[
=
师
]
在七年级我们已ಮ=
3;学习了有理数乘方的&=
#30693;识，现在请同学们=
238;忆一下
an
的意义是什么？=
，其中
a,n,an
各表示什&#=
20040;？
[
=
生
]an
表示
n
个
<=
span
lang=3DEN-US
style=3D'font-size:14.0pt'>a
相乘，这种求
<=
span
lang=3DEN-US
style=3D'font-size:14.0pt'>n
个相同因数的积=
的运算运算叫做乘方=
5294;其中
a
叫做底数，
n
叫做指数，把
<=
span
lang=3DEN-US
style=3D'font-size:14.0pt'>an
的结果叫幂。
<=
span
lang=3DEN-US
style=3D'font-size:14.0pt'>
[
=
师
]
我们做一下练习ᦂ=
6;
25
表示什么？
1
0
×10
×10×10
×10
可以&#=
20889;成什么形式？
[
=
生
]5
个
2
相乘，写成
105
[
=
师
]
回答非常正确，ߡ=
0;天我们继续学习与幂&=
#26377;关的新知识。
问题
1
：一种电&#=
23376;计算机每秒可进行1
千万亿（
1015
）次运算，它工=
作
103
秒可进行&#=
22810;少次运算？
[
=
师
]
能不能根据题意࠵=
5;出算式呢？
[
=
生
]
运算次数
=3D
运算速度
×
工作时间
所以=
计算机工作
103
秒可进行&#=
30340;运算次数为：
1015×103
．
[
=
师
]
根据乘方的意义ࣳ=
4;何计算
1015×103
呢？
[
=
生
]
101=
5×103=3D
×
（
10×10×10
）
（乘方的&#=
24847;义）
=3D
（乘法的&#=
32467;合律）
=3D1018
．
（乘方的&#=
24847;义）
[
=
师
]
真棒！在上边运=
9;中可以发现
1015
、
103
这两个因数是同=
底数幂的相乘的形式=
5292;所以我们把像
1015×103
的运算叫&#=
20570;同底数幂的乘法．
&nb=
sp;
下面=
我们来探究同底数幂=
0340;乘法的运算法则。
（二）探&#=
31350;学习，解析新知
问题
2
1
=
、根据乘&#=
26041;的意义填空：
25<=
/sup>×22=3D
（
=
）
<=
span
lang=3DEN-US
style=3D'font-size:14.0pt'>×
（
）
=3D2
（
）
=3D2
（
）
+
（
）
．
a3<=
/sup>·a2=3D
（
）
·
（
）
=3Da
（
&n=
bsp;
）
=3Da
（
）
+
（
）
5m
·5n=3D
（
=
）（=
）
=3D5
（
）
+
（
）
（小=
组讨论，交流，教师=
4033;视）
[
=
师
]
请同学们根据乘ਬ=
1;的意义进行填空。
[
=
生
]
（
1
）
25×22=3D
（
2×2×2×2×2
）
×
（
2×2
）
=3D27=3D25+2
．
因为=
25
表示
5
个
<=
span
lang=3DEN-US
style=3D'font-size:14.0pt'>2
相乘，；
22
表示
2
个
<=
span
lang=3DEN-US
style=3D'font-size:14.0pt'>2
相乘，共有
7
个
2
相乘，
25×22=
=3D27
，同样道&#=
29702;可得
a3·a2=3D
（
a·a·a）·（a·a<=
/span>）=3Da5<=
/sup>=3Da3+2
．=
5m
·5n=3D
×
=3D5m+n
．
2
=
、
[
师
]
请同学们观察上=
面各题中等号左边是=
0160;么运算？等号两边=
0;底数、指数有什么关&=
#31995;？用语言描述出规=
459;。
[
=
生
]1[
生
]2[
生
]3
[
=
师
]
总结同学们的描=
8;，我们可以归纳如下&=
#20851;系：
（一=
）等号左边都是底数=
0456;同的幂相乘．
（二=
）等号右边的底数与=
1561;号左边的底数相同
（三=
）等号右边的指数是=
1561;号左边的两个指数ࡴ=
4;．
3
=
、
[
师
]
根据规律猜想：=
am·an=
=3D?
并尝试证&#=
26126;你的结论。
[
=
生
]am·an=3Dam+n<=
o:p>
[
=
师生共同]
根据乘方的意义=
可得：
=3D=3Dam+n
am<=
/sup>·an=3D
·
=3D
=3Dam+n
[
=
师
]
通过证明有
am·an=3Dam+n
（
m
、
n
都是正整数）
，（板书）这就是同=
;底数幂的乘法的运算&#=
27861;则，请同学们用语š=
28;来描述此法则
[
=
生
]
同底数幂&#=
30456;乘，底数不变，指ă=
68;相加（板书）
[
=
师
]
好，请同学们齐=
5;一下同底数幂的乘法&=
#30340;法则。
说明
法则在使&#=
29992;时要注意以下两点ʍ=
06;条件：⑴&#=
21516;底数幂
&n=
bsp;
⑵乘&=
#27861;运算
&n=
bsp;
结果=
：
⑴底数不=
1464;
&n=
bsp;
⑵
指数相加
拓展=
思考：
[
=
师
]
在
am·an=3Dam+n
（
m
、
n
都是正整数）
式子中表&#=
31034;的是两个同底数幂į=
40;相乘，那么当三个或=
三个以上同底数幂相=
0056;时，此法则是否还=
7;用呢？以
am·an&=
middot;ap=3D
？为例。
[
=
生
]am·an·ap=3D
·
·
=3Dam+n+p
．
[
=
师
]
：恩，回答非常ઽ=
1;确，从刚才的结果我&=
#20204;知道当三个或三个=
197;上同底数幂相乘时，=
;此法则同样适用。下&#=
38754;我们就可以用这些Ė=
61;则来解决一些实际问=
题。
（三ᦀ=
9;应用新知，巩固提高<=
/span>
例计=
算
（
<=
span
lang=3DEN-US
style=3D'font-size:14.0pt'>1
）
x2·x5
(2)
a·a6
(3)
（－
2
）
×
（－
2
）
4
×
（－
2
）
<=
sup>3
(4)
xm=
·x3m+1=
[
=
师
]
我们先来看例是ߎ=
1;是可以用同底数幂的&=
#20056;法法则呢？
[
=
生
1]
（
1
）、（
2
）、（
3
）、（
4
）都可以直接用
“
同底数幂相乘，=
底数不变，指数相加”
的法则．
[
=
师
]
同学们分析得很ࣲ=
9;．（教师板È=
70;，学生说过程，）
（
1
）
解
：x2·x5=3Dx2+5=3Dx7
．=
（
2
）
解
：a·a<=
sup>6=3Da1·a6=3Da1+6=3Da=
7
．
学生解说
a=3Da1
？
（
<=
span
lang=3DEN-US
style=3D'font-size:14.0pt'>3
）解：（－
2
）
×
（－
2
）
4
×
（－
2
）
<=
sup>3
=3D
（－
2
）
1+4+3
=3D
（－
2
）
<=
sup>8
=3D28
．解说当出现负=
数的幂时结果要化简=
2290;如：（
-2
）
8
=3D28
，（
-3
）
5
=3D-35
=
（
<=
span
lang=3DEN-US
style=3D'font-size:14.0pt'>4
）解：
xm·x3m+1=3Dxm+（
3m+1
）
=3Dx4m+1
．
[
=
师
]
下面我们做一个ଅ=
6;戏：一棵大树上挂有<=
/span>7
盏灯笼，每盏灯=
笼里都有两道题，每=
9968;个小组选派一名代ඤ=
0;来选择灯笼号，然后&=
#20570;相对应的题目，答=
545;一题得
10
分，打错不得分=
，答错同学可以找同=
2452;同学帮忙，但要扣৴=
1;相应的分数
5
分，分高者优胜=
。
灯笼=
1
计算（抢答）：=
（
1
）
105
×
106
（
2
）
a7
·a3
灯笼=
2
判断对错，并说=
明理由：（
1
）
b3·b3=3D2b3
(
)
(2)b5+b5=3Db10
(
)
灯笼=
3
计算（板演）：=
（
1
）（
-3
）
<=
sup>4
×
（
-3
）
5
（
2
）
-a4×a3
=
灯笼=
4
计算（抢答）：=
（
3
）
x5
·x5
=
（
<=
span
lang=3DEN-US
style=3D'font-size:14.0pt'>4
）
b5
·
b
灯笼=
5
判断对错，并说=
明理由：
(3)x·x5=3Dx5=
(
)
=
(4)y2·y3=3Dy6(
)
灯笼=
6
(3)y2n&midd=
ot;yn+1
(4)(x+y)3·(x+y)
·(x+y)2
灯笼=
7
填空：
(5)
16=3D2x,
x=
=3D(
)
4
×
8=3D2x
，则
x=3D(
)
板演=
：
(6)
(n-m)2&m=
iddot;
(m-n)3
[
=
师
]
下面我们从第
1
小组开始选取灯=
笼，依次
2
组…
&nb=
sp;
（师生共&#=
21516;活动，学生根据题ø=
47;说答案或板演，教师=
点评）
&nb=
sp;
根据=
同学们的回答与板演=
8857;评，并指出做题时=
0;注意事项：
1
=
、
-a4
中底数为
a
，读作
a4
的相反数，计算=
时可以看做
-1×a4
2
=
、当底数&#=
20114;为相反数时，要把ò=
13;数统一成同底数幂然=
后再按法则进行运算=
2290;
3
=
、通过上&#=
36793;这些题可以看出
a
可以是一个数，=
一个字母，也可以是=
9968;个多项式。当底数ߒ=
6;多项式时，我们要把&=
#23427;看做一个整体加上=
567;括号。
（四ᦀ=
9;课堂小结
[
=
师
]
这节课我们学习ߚ=
2;同底数幂的乘法的运&=
#31639;性质，
请同学们谈一下=
有何新的收获和体会=
1602;？
[
=
生
]
通过本节学习我=
3;道了同底数幂乘法的&=
#36816;算性质．
[
=
生
]
同底数幂相乘法࠵=
7;对于三个或三个以上&=
#21516;底数幂相乘时也同=
679;适用。
[
=
师
]
同学们总结了本=
0;知识，除此之外，这&=
#33410;课我们在探索法则=
102;还体现了一种重要的=
;数学思想，即“特殊=
5288;例子）——一般（公=
式）——特殊（应用ʌ=
89;”
（五ᦀ=
9;课后作业
1
=
．必做题&#=
65306;课本
P96
练习（
1
）、（
2
），（
3
），（
4
）
2
=
、选做题&#=
65306;
am=3D2,an=3D3=
,
求：
am+n
的值
板书=
设计
3D"文本框:
<=
span
lang=3DEN-US
style=3D'font-size:14.0pt'>
&nb=
sp;
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同课章节目录
- 第六章 二元一次方程组
- 6.1 二元一次方程组
- 6.2 二元一次方程组的解法
- 6.3 二元一次方程组的应用
- 6.4 简单的三元一次方程组
- 第七章 相交线与平行线
- 7.1 命题
- 7.2 相交线
- 7.3 平行线
- 7.4 平行线的判定
- 7.5 平行线的性质
- 7.6 图形的平移
- 第八章 整式乘法
- 8.1 同底数幂的乘法
- 8.2 幂的乘方与积的乘方
- 8.3 同底数幂的除法
- 8.4 整式的乘法
- 8.5 乘法公式
- 第九章 三角形
- 9.1 三角形的边
- 9.2 三角形的内角
- 9.3 三角形的角平分线、中线和高
- 第十章 一元一次不等式和一元一次不等式组
- 10.1 不等式
- 10.2 不等式的基本性质
- 10.3 解一元一次不等式
- 10.4 一元一次不等式的应用
- 10.5 一元一次不等式组
- 第十一章 因式分解
- 11.1 因式分解
- 11.2 提公因式法
- 11.3 公式法