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1、-1-平方差公式专项练习题一、基础题1平方差公式（a+b）（ab）=a2b2中字母 a，b 表示（）A只能是数B只能是单项式C只能是多项式D以上都可以2下列多项式的乘法中，可以用平方差公式计算的是（）A（a+b）（b+a）B（a+b）（ab）C（13a+b）（b13a）D（a2b）（b2+a）3下列计算中，错误的有（）（3a+4）（3a 4）=9a2 4；（2a2b）（2a2+b）=4a2 b2；（3x）（x+3）=x29；（x+y）（x+y）=（xy）（x+y）=x2y2A1 个B2 个C 3 个D4 个4若 x2y2=30，且 xy=5，则 x+y 的值是（）A5 B6 C 6 D 5 二
2、、填空题5（2x+y）（2x y）=_4x2-y2_6（3x2+2y2）（_3x2-2y2_）=9x44y47（a+b1）（ab+1）=（_a_）2（_b-1_）28两个正方形的边长之和为5，边长之差为2，那么用较大的正方形的面积减去较小的正方形的面积，差是_10_三、计算题9利用平方差公式计算：2023 2113已解决10计算：（a+2）（a2+4）（a4+16）（a2）二、提高题1计算：（1）（2+1）（22+1）（24+1）（22n+1）+1（n 是正整数）；已解决（2）（3+1）（32+1）（34+1）（32008+1）401632已解决2利用平方差公式计算：2009 20072008
3、2已解决（1）利用平方差公式计算：22007200720082006已解决（2）利用平方差公式计算：22007200820061已解决-2-3解方程：x（x+2）+（2x+1）（2x1）=5（x2+3）此题较简单，略三、实际应用题4广场内有一块边长为2a米的正方形草坪，经统一规划后，南北方向要缩短3 米，东西方向要加长3 米，则改造后的长方形草坪的面积是多少？4a2-9 四、经典中考题5下列运算正确的是（）Aa3+a3=3a6B（a）3（a）5=a8C（2a2b）4a=24a6b3D（13a4b）（13a 4b）=16b219a26计算：（a+1）（a 1）=_a2-1_拓展题型1（规律探究题
4、）已知x1，计算（1+x）（1x）=1x2，（1 x）（1+x+x2）=1x3，（1x）（?1+x+x2+x3）=1 x4（1）观察以上各式并猜想：（1x）（1+x+x2+xn）=_1-xn+1_（n 为正整数）（2）根据你的猜想计算：（12）（1+2+22+23+24+25）=_1-26_2+22+23+2n=_2（2n-1）_（n 为正整数）（x1）（x99+x98+x97+x2+x+1）=_x100-1_（3）通过以上规律请你进行下面的探索：（ab）（a+b）=_a2-b2_（ab）（a2+ab+b2）=_a3-b3_（ab）（a3+a2b+ab2+b3）=_a4-b4_2（结论开放题）
5、请写出一个平方差公式，使其中含有字母m，n 和数字 4自己发挥3.从边长为a 的大正方形纸板中挖去一个边长为b 的小正方形纸板后，?将剩下的纸板沿虚线裁成四个相同的等腰梯形，如图 1 71 所示，然后拼成一个平行四边形，如图172 所示，分别计算这两个图形阴影部分的面积，结果验证了什么公式？请将结果与同伴交流一下没见到图完全平方公式变形的应用完全平方式常见的变形有:abbaba2)(222abbaba2)(222文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1
6、S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T
7、1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R
8、5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2
9、P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E
10、8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V
11、9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:C
12、H2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7-3-abbaba4)(22）（bcacabcbacba222)(22221、已知 m2+n2-6m+10n+34=0，求 m+n的值（m-3）2+（n+5）2=0 得出 m=3，n=-5 2、已知0136422yxyx，yx、都是有理数，求yx的值。（X+2）2+（y-3）2=0 得出 x=-2，y=3 xy=-8 3已知2()16,4,abab求223ab与2()ab的值。此题太简单，自己解决练一练 1 已知()5,3abab求2()ab与
13、223()ab的值。2 已知6,4abab求 ab与22ab的值。3、已知224,4abab求22a b与2()ab的值。4、已知(a+b)2=60，(a-b)2=80，求 a2+b2及 ab 的值5已知6,4abab，求22223a ba bab的值。（a+b）*（ab）=a2b+ab2=24 所求=24+3*42=72 6已知222450 xyxy，求21(1)2xxy的值。和前面 1、2 一个类型，自己解决7已知16xx，求221xx的值。太简单，自己解决8、0132xx，求（1）221xx（2）441xx9、试说明不论x,y 取何值，代数式226415xyxy的值总是正数。（学习我步骤
14、的书写格式）解：原式=（x+3）2+（y-2）2+1 无论 x,y 取何值，（x+3）2=0，（y-2）2=0 故（x+3）2+（y-2）2+10,即原式总为正数10、已知三角形ABC的三边长分别为a,b,c且 a,b,c满足等式22223()()abcabc，请说明该三角形是什么三角形？原式化简为 2a2+2b2+2c2-2ab-2bc-2ac=0 a2-2ab+b2+a2-2ac+c2+b2-2bc+c2=0（a-b）2+（b-c）2+（a-c）2=0 a=b=c，因此为等边三角形整式的乘法、平方差公式、完全平方公式、整式的除法文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV
15、10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编
16、码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9
17、 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8
18、ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文
19、档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4
20、R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S
21、8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7-4-一、请准确填空1、若 a2+b22a+2b+2=0,则 a2004+b2005=_和上一页的 1、2、6 都是一个类型，自己要学会归纳同类型题目_.2、一个长方形的长为(2a+3b),宽为(2 a3b),则长方形的面积为_略_.3、5(ab)2的最大值是 _5_，当 5(ab)2取最大值时，a与 b 的关系是 _a=b
22、_.4.要使式子 0.36x2+41y2成为一个完全平方式，则应加上_3/5*xy_.5.(4 am+16am)2am 1=_.6.2931(302+1)=_略_.7.已知 x25x+1=0,则 x2+21x=_和上页第 8 题一个类型，题目考点还是比较好的，建议归纳总结在重点题本_.8.已知(2005a)(2003 a)=1000,请你猜想(2005a)2+(2003a)2=_2004_.二、相信你的选择9.若 x2xm=(xm)(x+1)且 x0,则 m等于A.1 B.0 C.1 D.210.(x+q)与(x+51)的积不含 x 的一次项，猜测 q 应是A.5 B.51C.51D.5 11
23、.下列四个算式:4x2y441xy=xy3;16a6b4c8a3b2=2a2b2c;9x8y23x3y=3x5y;(12m3+8m24m)(2m)=6m2+4m+2，其中正确的有（我眼睛不行了，看不到上标）A.0 个B.1 个C.2 个D.3 个12.设(xm1yn+2)(x5my2)=x5y3,则 mn的值为A.1 B.1 C.3 D.3 13.计算(a2b2)(a2+b2)2等于A.a42a2b2+b4 B.a6+2a4b4+b6 C.a62a4b4+b6 D.a82a4b4+b814.已知(a+b)2=11,ab=2,则(ab)2的值是A.11 B.3 C.5 D.19 15.若 x27
24、xy+M是一个完全平方式，那么M是A.27y2 B.249y2 C.449y2 D.49y216.若 x,y 互为不等于 0 的相反数，n 为正整数,你认为正确的是A.xn、yn一定是互为相反数 B.(x1)n、(y1)n一定是互为相反数C.x2n、y2n一定是互为相反数 D.x2n1、y2n1一定相等三、考查你的基本功17.计算(1)(a2b+3c)2(a+2b3c)2;(2)ab(3b)2a(b21b2)(3a2b3);(3)21000.5100(1)2005(1)5;(4)(x+2y)(x2y)+4(xy)26x6x.文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9
25、R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH
26、2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3
27、E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10
28、V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:
29、CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 H
30、A3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV
31、10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7-5-18.(6 分)解方程x(9x5)(3x1)(3 x+1)=5.四、生活中的数学19.(6 分)如果运载人造星球的火箭的速度超过11.2 km/s(俗称第二宇宙速度)，则人造星球将会挣脱地球的束缚，成为绕太阳运行的恒星.一架喷气式飞机的速度为1.8 106 m/h,请你推算一下第二宇宙速度是飞机速度的多少倍？略五、探究拓展与应
32、用 20.计算.(2+1)(22+1)(24+1)=(21)(2+1)(22+1)(24+1)=(221)(22+1)(24+1)=(241)(24+1)=(281).根据上式的计算方法，请计算(3+1)(32+1)(34+1)(332+1)2364的值.“整体思想”在整式运算中的运用1、当代数式532xx的值为 7 时,求代数式2932xx的值.提示：无需解的x，整体替换即可2、已知2083xa，1883xb，1683xc，求：代 数 式bcacabcba222的值。3、已知4yx，1xy，求代数式)1)(1(22yx的值自己算4、已知2x时，代数式10835cxbxax，求当2x时，代数式
33、835cxbxax的值整体替换5、若123456786123456789M，123456787123456788N试比较 M 与 N 的大小略5、已知012aa，求2007223aa的值.已知条件知：a2+a=1 a3+2a2+2007=a（a2+2a）+2007=a（a2+a+a）+2007=a（1+a）+2007=a2+a+2007+1+2007=2008 文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R
34、5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2
35、P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E
36、8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V
37、9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:C
38、H2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA
39、3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV1
40、0V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7-6-用适当的方法计算（1）20022003200220022略（2）2222221247484950解法见右侧（3）2222200411411311211提示：和第二题思路一样，展开消项（4）1212121264842提示：此类型多次出现，建议统一归纳整合与拓展一变号后运用：2525555522bbbbbb二 交换位置后运用：2255555bbbbb三 连续运用：4222111111xxxxxx四 整体运用：1111222babababa五 逆向应用：2222221247484950 =121
41、24748474849504950 =127525050112484950六先拆项再运用：99964100002100210021009810222七 先添因式再运用：1212121264842 =1212121212264422=31231212312121212864646444文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9
42、R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH
43、2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3
44、E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10
45、V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:
46、CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 H
47、A3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7文档编码:CH2P1S2O4R9 HA3E8T1Z8S8 ZV10V9R5J1T7