a➗(b➗C)去掉括号的简便运算训练题? 综合算式的所有简便方法,例如乘法分配律、减法的性质、加法交换...

7000\u00f725\u7b80\u7b97

7000\u00f725\u7684\u7b80\u4fbf\u65b9\u6cd5\u53ef\u4ee5\u7528\u9664\u6cd5\u6027\u8d28\u6216\u5546\u4e0d\u53d8\u6027\u8d28\u3002
1\u3001\u9664\u6cd5\u6027\u8d28\uff1a\u4e00\u4e2a\u6570\u8fde\u7eed\u9664\u4ee5\u4e24\u4e2a\u6570\uff0c\u53ef\u4ee5\u9664\u4ee5\u8fd9\u4e24\u4e2a\u6570\u7684\u79ef\uff0c\u4e5f\u53ef\u4ee5\u5148\u9664\u4ee5\u7b2c\u4e00\u4e2a\u9664\u6570\uff0c\u518d\u9664\u4ee5\u7b2c\u4e8c\u4e2a\u9664\u6570\u3002\u5b57\u6bcd\u8868\u793a\uff1aa\u00f7b\u00f7c=a\u00f7(b\u00d7c)=a\u00f7c\u00f7b
7000\u00f725
=7000\u00f7\uff085\u00d75\uff09
=7000\u00f75\u00f75
=1400\u00f75
=280
2\u3001\u5546\u4e0d\u53d8\u6027\u8d28\uff1a\u88ab\u9664\u6570\u548c\u9664\u6570\u540c\u65f6\u4e58\u4ee5\u6216\u8005\u9664\u4ee5\u76f8\u540c\u7684\u6570(\u96f6\u9664\u5916\uff09\uff0c\u5b83\u4eec\u7684\u5546\u4e0d\u53d8\u3002\u5b57\u6bcd\u8868\u793a\uff1aa\u00f7b=(a\u00d7c)\u00f7(b\u00d7c)=(a\u00f7c)\u00f7(b\u00f7c) (c\u22600)
7000\u00f725
=\uff087000\u00d74\uff09\u00f7\uff0825\u00d74\uff09
=28000\u00f7100
=280
\u7b80\u4fbf\u8ba1\u7b97\u662f\u4e00\u79cd\u7279\u6b8a\u7684\u8ba1\u7b97\uff0c\u5b83\u8fd0\u7528\u4e86\u8fd0\u7b97\u5b9a\u5f8b\u4e0e\u6570\u5b57\u7684\u57fa\u672c\u6027\u8d28\uff0c\u4ece\u800c\u4f7f\u8ba1\u7b97\u7b80\u4fbf\uff0c\u4f7f\u4e00\u4e2a\u5f88\u590d\u6742\u7684\u5f0f\u5b50\u53d8\u5f97\u5f88\u5bb9\u6613\u8ba1\u7b97\u51fa\u5f97\u6570\u3002
\u6269\u5c55\u8d44\u6599\uff1a\u4e00\u3001\u7b80\u4fbf\u8fd0\u7b97\u7684\u6ce8\u610f\u4e8b\u9879\uff1a
1\u3001\u5728\u8fdb\u884c\u7b80\u4fbf\u8fd0\u7b97\uff0c\u5e94\u6ce8\u610f\u8fd0\u7b97\u7b26\u53f7\uff08\u4e58\u9664\u548c\u52a0\u51cf\uff09\u548c\u5927\u3001\u4e2d\u3001\u5c0f\u62ec\u53f7\u4e4b\u95f4\u7684\u5173\u8fde\u3002
2\u3001\u4e0d\u8981\u8d8a\u7ea7\u8fd0\u7b97\uff0c\u4ee5\u514d\u53d1\u751f\u8fd0\u7b97\u9519\u8bef\u3002
\u4e8c\u3001\u7b80\u4fbf\u8fd0\u7b97\u7684\u76f8\u5173\u5b9a\u5f8b
1\u3001\u4e58\u6cd5\u5206\u914d\u5f8b
\u7b80\u4fbf\u8ba1\u7b97\u4e2d\u6700\u5e38\u7528\u7684\u65b9\u6cd5\u662f\u4e58\u6cd5\u5206\u914d\u5f8b\u3002\u4e58\u6cd5\u5206\u914d\u5f8b\u6307\u7684\u662fax(b+c)=axb+axc\u5176\u4e2da,b,c\u662f\u4efb\u610f\u5b9e\u6570\u3002\u76f8\u53cd\u7684\uff0caxb+axc=ax(b+c)\u53eb\u505a\u4e58\u6cd5\u5206\u914d\u5f8b\u7684\u9006\u8fd0\u7528\uff08\u4e5f\u53eb\u63d0\u53d6\u516c\u7ea6\u6570\uff09\uff0c\u5c24\u5176\u662fa\u4e0eb\u4e92\u4e3a\u8865\u6570\u65f6\uff0c\u8fd9\u79cd\u65b9\u6cd5\u66f4\u6709\u7528\u3002
2\u3001\u4e58\u6cd5\u7ed3\u5408\u5f8b
\u4e58\u6cd5\u7ed3\u5408\u5f8b\u4e5f\u662f\u505a\u7b80\u4fbf\u8fd0\u7b97\u7684\u4e00\u79cd\u65b9\u6cd5\uff0c\u7528\u5b57\u6bcd\u8868\u793a\u4e3a(a\u00d7b)\u00d7c=a\u00d7(b\u00d7c)\uff0c\u5b83\u7684\u5b9a\u4e49\uff08\u65b9\u6cd5\uff09\u662f\uff1a\u4e09\u4e2a\u6570\u76f8\u4e58\uff0c\u5148\u628a\u524d\u4e24\u4e2a\u6570\u76f8\u4e58\uff0c\u518d\u548c\u7b2c\u4e09\u4e2a\u6570\u76f8\u4e58\uff1b\u6216\u5148\u628a\u540e\u4e24\u4e2a\u6570\u76f8\u4e58\uff0c\u518d\u548c\u7b2c\u4e00\u4e2a\u6570\u76f8\u4e58\uff0c\u79ef\u4e0d\u53d8\u3002
3\u3001\u4e58\u6cd5\u4ea4\u6362\u5f8b
\u4e58\u6cd5\u4ea4\u6362\u5f8b\u7528\u4e8e\u8c03\u6362\u5404\u4e2a\u6570\u7684\u4f4d\u7f6e\uff1aa\u00d7b=b\u00d7a
4\u3001\u51cf\u6cd5\u7684\u6027\u8d28\uff1a\u4e00\u4e2a\u6570\u8fde\u7eed\u51cf\u53bb\u51e0\u4e2a\u6570\u7b49\u4e8e\u4e00\u4e2a\u6570\u51cf\u53bb\u8fd9\u51e0\u4e2a\u6570\u7684\u548c\u3002
\u5b57\u6bcd\u8868\u793a\uff1aa-b-b= a-\uff08b+c\uff09
5\u3001\u62c6\u5206\u6cd5\uff1a\u5f53\u4e00\u4e2a\u6570\u6bd4\u6574\u767e\u3001\u6574\u5343\u7a0d\u5fae\u5927\u4e00\u4e9b\u7684\u65f6\u5019\uff0c\u6211\u4eec\u53ef\u4ee5\u628a\u8fd9\u4e2a\u6570\u62c6\u5206\u6210\u6574\u767e\u3001\u6574\u5343\u4e0e\u4e00\u4e2a\u8f83\u5c0f\u6570\u7684\u548c\uff0c\u7136\u540e\u5229\u7528\u52a0\u51cf\u6cd5\u7684\u4ea4\u6362\u3001\u7ed3\u5408\u5f8b\u8fdb\u884c\u7b80\u4fbf\u8ba1\u7b97\u3002
6\u3001\u51d1\u6574\u6cd5\uff1a\u5f53\u4e00\u4e2a\u6570\u6bd4\u6574\u767e\u3001\u6574\u5343\u7a0d\u5fae\u5c0f\u4e00\u4e9b\u7684\u65f6\u5019\uff0c\u6211\u4eec\u53ef\u4ee5\u628a\u8fd9\u4e2a\u6570\u5199\u6210\u4e00\u4e2a\u6574\u767e\u3001\u6574\u5343\u7684\u6570\u51cf\u53bb\u4e00\u4e2a\u8f83\u5c0f\u7684\u6570\u7684\u5f62\u5f0f\uff0c\u7136\u540e\u5229\u7528\u52a0\u51cf\u6cd5\u7684\u8fd0\u7b97\u5b9a\u5f8b\u8fdb\u884c\u7b80\u4fbf\u8ba1\u7b97\u3002
\u6ce8\u610f\uff1a\u62c6\u5206\u51d1\u6574\u6cd5\u5728\u52a0\u3001\u51cf\u6cd5\u4e2d\u7684\u7b80\u4fbf\u4e0d\u662f\u5f88\u660e\u663e\uff0c\u4f46\u548c\u4e58\u9664\u6cd5\u7684\u8fd0\u7b97\u5b9a\u5f8b\u7ed3\u5408\u8d77\u6765\u5c31\u5177\u6709\u5f88\u5927\u7684\u7b80\u4fbf\u3002
7\u3001\u52a0\u62ec\u53f7\u6cd5
\u5f53\u4e00\u4e2a\u8ba1\u7b97\u9898\u53ea\u6709\u52a0\u51cf\u8fd0\u7b97\u53c8\u6ca1\u6709\u62ec\u53f7\u65f6\uff0c\u53ef\u4ee5\u5728\u52a0\u53f7\u540e\u9762\u76f4\u63a5\u6dfb\u62ec\u53f7\uff0c\u62ec\u5230\u62ec\u53f7\u91cc\u7684\u8fd0\u7b97\u539f\u6765\u662f\u52a0\u8fd8\u662f\u52a0\uff0c\u662f\u51cf\u8fd8\u662f\u51cf\u3002\u4f46\u662f\u5728\u51cf\u53f7\u540e\u9762\u6dfb\u62ec\u53f7\u65f6\uff0c\u62ec\u5230\u62ec\u53f7\u91cc\u7684\u8fd0\u7b97\uff0c\u539f\u6765\u662f\u52a0\uff0c\u73b0\u5728\u5c31\u8981\u53d8\u4e3a\u51cf\uff1b\u539f\u6765\u662f\u51cf\uff0c\u73b0\u5728\u5c31\u8981\u53d8\u4e3a\u52a0\u3002
\u5f53\u4e00\u4e2a\u8ba1\u7b97\u9898\u53ea\u6709\u4e58\u9664\u8fd0\u7b97\u53c8\u6ca1\u6709\u62ec\u53f7\u65f6\uff0c\u53ef\u4ee5\u5728\u4e58\u53f7\u540e\u9762\u76f4\u63a5\u6dfb\u62ec\u53f7\uff0c\u62ec\u5230\u62ec\u53f7\u91cc\u7684\u8fd0\u7b97\uff0c\u539f\u6765\u662f\u4e58\u8fd8\u662f\u4e58\uff0c\u662f\u9664\u8fd8\u662f\u9664\u3002\u4f46\u662f\u5728\u9664\u53f7\u540e\u9762\u6dfb\u62ec\u53f7\u65f6\uff0c\u62ec\u5230\u62ec\u53f7\u91cc\u7684\u8fd0\u7b97\uff0c\u539f\u6765\u662f\u4e58\uff0c\u73b0\u5728\u5c31\u8981\u53d8\u4e3a\u9664\uff1b\u539f\u6765\u662f\u9664\uff0c\u73b0\u5728\u5c31\u8981\u53d8\u4e3a\u4e58\u3002
8\u3001\u53bb\u62ec\u53f7\u6cd5
\u5f53\u4e00\u4e2a\u8ba1\u7b97\u9898\u53ea\u6709\u52a0\u51cf\u8fd0\u7b97\u53c8\u6709\u62ec\u53f7\u65f6\uff0c\u53ef\u4ee5\u5c06\u52a0\u53f7\u540e\u9762\u7684\u62ec\u53f7\u76f4\u63a5\u53bb\u6389\uff0c\u539f\u6765\u662f\u52a0\u73b0\u5728\u8fd8\u662f\u52a0\uff0c\u662f\u51cf\u8fd8\u662f\u51cf\u3002\u4f46\u662f\u5c06\u51cf\u53f7\u540e\u9762\u7684\u62ec\u53f7\u53bb\u6389\u65f6\uff0c\u539f\u6765\u62ec\u53f7\u91cc\u7684\u52a0\uff0c\u73b0\u5728\u8981\u53d8\u4e3a\u51cf\uff1b\u539f\u6765\u662f\u51cf\uff0c\u73b0\u5728\u5c31\u8981\u53d8\u4e3a\u52a0\u3002
\u5f53\u4e00\u4e2a\u8ba1\u7b97\u9898\u53ea\u6709\u4e58\u9664\u8fd0\u7b97\u53c8\u6709\u62ec\u53f7\u65f6\uff0c\u53ef\u4ee5\u5c06\u4e58\u53f7\u540e\u9762\u7684\u62ec\u53f7\u76f4\u63a5\u53bb\u6389\uff0c\u539f\u6765\u662f\u4e58\u8fd8\u662f\u4e58\uff0c\u662f\u9664\u8fd8\u662f\u9664\u3002\u4f46\u662f\u5c06\u9664\u53f7\u540e\u9762\u7684\u62ec\u53f7\u53bb\u6389\u65f6\uff0c\u539f\u6765\u62ec\u53f7\u91cc\u7684\u4e58\uff0c\u73b0\u5728\u5c31\u8981\u53d8\u4e3a\u9664\uff1b\u539f\u6765\u662f\u9664\uff0c\u73b0\u5728\u5c31\u8981\u53d8\u4e3a\u4e58\u3002

\u4e00\u3001\u52a0\u6cd5
1.\u52a0\u6cd5\u4ea4\u6362\u5f8b
a+b=b+a
2.\u52a0\u6cd5\u7ed3\u5408\u5f8b
(a+b)+c=a+(b+c)
\u4e8c\u3001\u51cf\u6cd5
1.\u51cf\u6cd5\u7684\u6027\u8d28
a-b-c=a-(b+c)
\u4e09\u3001\u4e58\u6cd5
1.\u4e58\u6cd5\u4ea4\u6362\u5f8b
ab=ba
2.\u4e58\u6cd5\u7ed3\u5408\u5f8b
(axb)xc =ax(bxc)
3.\u4e58\u6cd5\u5206\u914d\u5f8b
[1].(a+b)xc=axc+bxc
[2].(a-b)xc=axc+bxc
[3].ax99=ax(99+1)-a
[4].(a+b-d)xc =axc+bxc-dxc
\u56db\u3001\u9664\u6cd5
1.\u9664\u6cd5\u7684\u6027\u8d28
a➗b➗c=a➗(bxc)
\u4e94\u3001\u52a0\u51cf\u6df7\u5408
a+(b-c)=a+b-c
a-(b-c)=a-b+c
a-(b+c)=a-b-c
1+2+3+...........+97+98+99+100
=50x100
=5050
19+199+1999+19999
=20+200+2000+20000-4
=22216

a➗(b➗C)
=a÷bxc
=ac/b

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