加减乘除法运算定律公式 加减乘除的运算律？
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\u8fd0\u7b97\u6cd5\u5219\u5305\u62ec\uff1a\u6574\u6570\u56db\u5219\u8fd0\u7b97\u6cd5\u5219\u3001\u5c0f\u6570\u56db\u5219\u8fd0\u7b97\u6cd5\u5219\u3001\u5206\u6570\u56db\u5219\u8fd0\u7b97\u6cd5\u5219\uff0c\u8981\u6c42\u5728\u7406\u89e3\u7684\u57fa\u7840\u4e0a\u638c\u63e1\u6cd5\u5219\uff0c\u5e76\u80fd\u8fd0\u7528\u6cd5\u5219\u719f\u7ec3\u5730\u8fdb\u884c\u8ba1\u7b97\u3002
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1.\u8fd0\u7b97\u5b9a\u5f8b\u6216\u6027\u8d28\u7528\u5b57\u6bcd\u516c\u5f0f\u8868\u793a
\u52a0\u6cd5\u4ea4\u6362\u5f8b\uff1aa+b\uff1db+a
\u52a0\u6cd5\u7ed3\u5408\u5f8b\uff1a\uff08a+b\uff09+c\uff1da+\uff08b+c\uff09
\u4e58\u6cd5\u4ea4\u6362\u5f8b\uff1aab=ba
\u4e58\u6cd5\u7ed3\u5408\u5f8b\uff1a\uff08ab\uff09c=a\uff08bc\uff09
\u4e58\u6cd5\u5206\u914d\u5f8b\uff1aa\uff08b+c\uff09\uff1dab+ac
2.\u51e0\u4f55\u5f62\u4f53\u7684\u5468\u957f\u3001\u9762\u79ef\u3001\u4f53\u79ef\u8ba1\u7b97\u516c\u5f0f
\u957f\u65b9\u5f62\u5468\u957f\uff1aC\uff1d2\uff08a+b\uff09
\u6b63\u65b9\u5f62\u5468\u957f\uff1aC\uff1d4a
\u5706\u7684\u5468\u957f\uff1aC\uff1d2\u03c0r\uff0c\u6216\uff08\u03c0d\uff09
\u957f\u65b9\u5f62\u9762\u79ef\uff1aS=ab
\u6b63\u65b9\u5f62\u9762\u79ef\uff1aS\uff1da2
\u5e73\u884c\u56db\u8fb9\u5f62\u9762\u79ef\uff1aS=ah
\u5706\u5f62\u9762\u79ef\uff1aS=\u03c0r2
\u957f\u65b9\u4f53\u4f53\u79ef\uff1aV\uff1dabc\u8868\u9762\u79efS=2\uff08ab\uff0bac\uff0bbc\uff09
\u6b63\u65b9\u4f53\u4f53\u79ef\uff1aV=a3\u8868\u9762\u79efS\uff1d6a2
\u5706\u67f1\u4f53\u4f53\u79ef\uff1aV\uff1d\u03c0r2h\u8868\u9762\u79efS\uff1d2\u03c0rh\uff0b2\u03c0r2
\u8981\u4f7f\u5b66\u751f\u6b63\u786e\u7406\u89e3\u548c\u638c\u63e1\u57fa\u7840\u77e5\u8bc6\uff0c\u6559\u5e08\u8981\u8ba4\u771f\u5b66\u4e60\u5927\u7eb2\uff0c\u8ba4\u771f\u94bb\u7814\u6559\u6750\uff0c\u6b63\u786e\u7406\u89e3\u5927\u7eb2\u6240\u8981\u6c42\u5b66\u751f\u638c\u63e1\u57fa\u7840\u77e5\u8bc6\u7684\u6df1\u5ea6\u548c\u5e7f\u5ea6\uff0c\u5e76\u8981\u6ce8\u91cd\u5728\u4f7f\u5b66\u751f\u7406\u89e3\u4e0e\u638c\u63e1\u77e5\u8bc6\u7684\u540c\u65f6\uff0c\u57f9\u517b\u5b66\u751f\u7684\u80fd\u529b\uff0c\u80fd\u529b\u53d1\u5c55\u4e86\uff0c\u4e5f\u5c31\u66f4\u4fc3\u8fdb\u5bf9\u77e5\u8bc6\u7684\u7406\u89e3\u548c\u638c\u63e1\uff0c\u5b83\u4eec\u4e4b\u95f4\u662f\u4e92\u76f8\u4fc3\u8fdb\uff0c\u5bc6\u4e0d\u53ef\u5206\u7684\u3002
\u884c\u7a0b\u901a\u5e38\u53ef\u4ee5\u5206\u4e3a\u8fd9\u6837\u51e0\u7c7b\uff1a
\u76f8\u9047\u95ee\u9898\uff1a\u901f\u5ea6\u548c\u00d7\u76f8\u9047\u65f6\u95f4\uff1d\u76f8\u9047\u8def\u7a0b\uff1b
\u8ffd\u53ca\u95ee\u9898\uff1a\u901f\u5ea6\u5dee\u00d7\u8ffd\u53ca\u65f6\u95f4\uff1d\u8def\u7a0b\u5dee\uff1b
\u6d41\u6c34\u95ee\u9898\uff1a\u5173\u952e\u662f\u6293\u4f4f\u6c34\u901f\u5bf9\u8ffd\u53ca\u548c\u76f8\u9047\u7684\u65f6\u95f4\u4e0d\u4ea7\u751f\u5f71\u54cd\uff1b
\u987a\u6c34\u901f\u5ea6\uff1d\u8239\u901f\uff0b\u6c34\u901f \u9006\u6c34\u901f\u5ea6\uff1d\u8239\u901f\uff0d\u6c34\u901f
\u9759\u6c34\u901f\u5ea6\uff1d\uff08\u987a\u6c34\u901f\u5ea6\uff0b\u9006\u6c34\u901f\u5ea6\uff09\u00f72 \u6c34\u901f\uff1d\uff08\u987a\u6c34\u901f\u5ea6\uff0d\u9006\u6c34\u901f\u5ea6\uff09\u00f72
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\u6bd4\u4f8b\u5e94\u7528\uff1a\u8fd0\u7528\u6bd4\u4f8b\u77e5\u8bc6\u89e3\u51b3\u590d\u6742\u7684\u884c\u7a0b\u95ee\u9898\u7ecf\u5e38\u8003\uff0c\u800c\u4e14\u8981\u8003\u90fd\u4e0d\u7b80\u5355\u3002
\u590d\u6742\u884c\u7a0b\uff1a\u5305\u62ec\u591a\u6b21\u76f8\u9047\u3001\u706b\u8f66\u8fc7\u6865\uff0c\u4e8c\u7ef4\u884c\u7a0b\u7b49\u3002
2\u3001\u5b9a\u4e49\u5b9a\u7406\u516c\u5f0f
\u4e09\u89d2\u5f62\u7684\u9762\u79ef\uff1d\u5e95\u00d7\u9ad8\u00f72\u3002 \u516c\u5f0f S= a\u00d7h\u00f72
\u6b63\u65b9\u5f62\u7684\u9762\u79ef\uff1d\u8fb9\u957f\u00d7\u8fb9\u957f \u516c\u5f0f S= a\u00d7a
\u957f\u65b9\u5f62\u7684\u9762\u79ef\uff1d\u957f\u00d7\u5bbd \u516c\u5f0f S= a\u00d7b
\u5e73\u884c\u56db\u8fb9\u5f62\u7684\u9762\u79ef\uff1d\u5e95\u00d7\u9ad8 \u516c\u5f0f S= a\u00d7h
\u68af\u5f62\u7684\u9762\u79ef\uff1d\uff08\u4e0a\u5e95+\u4e0b\u5e95\uff09\u00d7\u9ad8\u00f72 \u516c\u5f0f S=(a+b)h\u00f72
\u5185\u89d2\u548c\uff1a\u4e09\u89d2\u5f62\u7684\u5185\u89d2\u548c\uff1d180\u5ea6\u3002
\u957f\u65b9\u4f53\u7684\u4f53\u79ef\uff1d\u957f\u00d7\u5bbd\u00d7\u9ad8 \u516c\u5f0f\uff1aV=abh
\u957f\u65b9\u4f53\uff08\u6216\u6b63\u65b9\u4f53\uff09\u7684\u4f53\u79ef\uff1d\u5e95\u9762\u79ef\u00d7\u9ad8 \u516c\u5f0f\uff1aV=abh
\u6b63\u65b9\u4f53\u7684\u4f53\u79ef\uff1d\u68f1\u957f\u00d7\u68f1\u957f\u00d7\u68f1\u957f \u516c\u5f0f\uff1aV=aaa
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\u5706\u7684\u9762\u79ef\uff1d\u534a\u5f84\u00d7\u534a\u5f84\u00d7\u03c0 \u516c\u5f0f\uff1aS\uff1d\u03c0r2
\u5706\u67f1\u7684\u8868\uff08\u4fa7\uff09\u9762\u79ef\uff1a\u5706\u67f1\u7684\u8868\uff08\u4fa7\uff09\u9762\u79ef\u7b49\u4e8e\u5e95\u9762\u7684\u5468\u957f\u4e58\u9ad8\u3002\u516c\u5f0f\uff1aS=ch=\u03c0dh\uff1d2\u03c0rh
\u5706\u67f1\u7684\u8868\u9762\u79ef\uff1a\u5706\u67f1\u7684\u8868\u9762\u79ef\u7b49\u4e8e\u5e95\u9762\u7684\u5468\u957f\u4e58\u9ad8\u518d\u52a0\u4e0a\u4e24\u5934\u7684\u5706\u7684\u9762\u79ef\u3002 \u516c\u5f0f\uff1aS=ch+2s=ch+2\u03c0r2
\u5706\u67f1\u7684\u4f53\u79ef\uff1a\u5706\u67f1\u7684\u4f53\u79ef\u7b49\u4e8e\u5e95\u9762\u79ef\u4e58\u9ad8\u3002\u516c\u5f0f\uff1aV=Sh
\u5706\u9525\u7684\u4f53\u79ef\uff1d1/3\u5e95\u9762\u00d7\u79ef\u9ad8\u3002\u516c\u5f0f\uff1aV=1/3Sh
\u5206\u6570\u7684\u52a0\u3001\u51cf\u6cd5\u5219\uff1a\u540c\u5206\u6bcd\u7684\u5206\u6570\u76f8\u52a0\u51cf\uff0c\u53ea\u628a\u5206\u5b50\u76f8\u52a0\u51cf\uff0c\u5206\u6bcd\u4e0d\u53d8\u3002\u5f02\u5206\u6bcd\u7684\u5206\u6570\u76f8\u52a0\u51cf\uff0c\u5148\u901a\u5206\uff0c\u7136\u540e\u518d\u52a0\u51cf\u3002
\u5206\u6570\u7684\u4e58\u6cd5\u5219\uff1a\u7528\u5206\u5b50\u7684\u79ef\u505a\u5206\u5b50\uff0c\u7528\u5206\u6bcd\u7684\u79ef\u505a\u5206\u6bcd\u3002
\u5206\u6570\u7684\u9664\u6cd5\u5219\uff1a\u9664\u4ee5\u4e00\u4e2a\u6570\u7b49\u4e8e\u4e58\u4ee5\u8fd9\u4e2a\u6570\u7684\u5012\u6570\u3002
\u5355\u4f4d\u6362\u7b97
\uff081\uff091\u516c\u91cc\uff1d1\u5343\u7c73 1\u5343\u7c73\uff1d1000\u7c73 1\u7c73\uff1d10\u5206\u7c73 1\u5206\u7c73\uff1d10\u5398\u7c73 1\u5398\u7c73\uff1d10\u6beb\u7c73
\uff082\uff091\u5e73\u65b9\u7c73\uff1d100\u5e73\u65b9\u5206\u7c73 1\u5e73\u65b9\u5206\u7c73\uff1d100\u5e73\u65b9\u5398\u7c73 1\u5e73\u65b9\u5398\u7c73\uff1d100\u5e73\u65b9\u6beb\u7c73
\uff083\uff091\u7acb\u65b9\u7c73\uff1d1000\u7acb\u65b9\u5206\u7c73 1\u7acb\u65b9\u5206\u7c73\uff1d1000\u7acb\u65b9\u5398\u7c73 1\u7acb\u65b9\u5398\u7c73\uff1d1000\u7acb\u65b9\u6beb\u7c73
\uff084\uff091\u5428\uff1d1000\u5343\u514b 1\u5343\u514b= 1000\u514b= 1\u516c\u65a4 = 1\u5e02\u65a4
\uff085\uff091\u516c\u9877\uff1d10000\u5e73\u65b9\u7c73 1\u4ea9\uff1d666.666\u5e73\u65b9\u7c73
\uff086\uff091\u5347\uff1d1\u7acb\u65b9\u5206\u7c73\uff1d1000\u6beb\u5347 1\u6beb\u5347\uff1d1\u7acb\u65b9\u5398\u7c73
3\u3001\u6570\u91cf\u5173\u7cfb\u8ba1\u7b97\u516c\u5f0f\u65b9\u9762
1\uff0e\u5355\u4ef7\u00d7\u6570\u91cf\uff1d\u603b\u4ef7
2\uff0e\u5355\u4ea7\u91cf\u00d7\u6570\u91cf\uff1d\u603b\u4ea7\u91cf
3\uff0e\u901f\u5ea6\u00d7\u65f6\u95f4\uff1d\u8def\u7a0b
4\uff0e\u5de5\u6548\u00d7\u65f6\u95f4\uff1d\u5de5\u4f5c\u603b\u91cf
\u52a0\u51cf\u4e58\u9664\u6cd5\u662f\u57fa\u672c\u7684\u56db\u5219\u8fd0\u7b97\uff0c\u5728\u6ca1\u6709\u62ec\u53f7\u7684\u60c5\u51b5\u4e0b\uff0c\u8fd0\u7b97\u987a\u5e8f\u4e3a\u5148\u4e58\u9664\uff0c\u518d\u52a0\u51cf\u3002
\u52a0\u6cd5\u4ea4\u6362\u5f8b\uff1aa+b=b+a
\u52a0\u6cd5\u7ed3\u5408\u5f8b\uff1aa+b+c=a+(b+c)
\u4e58\u6cd5\u4ea4\u6362\u5f8b\uff1aa*b=b*a
\u4e58\u6cd5\u7ed3\u5408\u5f8b\uff1aa*b*c=a*(b*c)
\u4e58\u6cd5\u5206\u914d\u5f8b\uff1a(a+b)*c=a*c+b*c
\u51cf\u6cd5\u7684\u6027\u8d28\uff1aa-b-c=a-(b+c)
\u9664\u6cd5\u7684\u6027\u8d28\uff1aa/b/c=a/(b*c)
\u8ba1\u7b97\u673a\u52a0\u51cf\u4e58\u9664\u8fd0\u7b97\u539f\u7406
\u52a0\u51cf\u6cd5\u539f\u7406\uff1a\u539f\u7801\uff0c\u53cd\u7801\uff0c\u8865\u7801
\u673a\u5668\u6570\uff1a\u6570\u503c\u5728\u8ba1\u7b97\u673a\u4e2d\u7684\u771f\u5b9e\u5b58\u50a8\uff1b\u5982[+2]\u4e3a[00000010]\uff0c[-2]\u4e3a [10000010] \uff1b\u5176\u6700\u9ad8\u4f4d\u79f0\u4e3a\u7b26\u53f7\u4f4d\uff0c0\u4ee3\u8868\u6b63\u6570\uff0c1\u4ee3\u8868\u8d1f\u6570\u3002
\u673a\u5668\u6570\u7684\u771f\u6570\uff1a\u673a\u5668\u6570\u7684\u771f\u6b63\u6570\u503c\uff0c\u5982[+2]\u4e3a[0000010]\uff0c[-2]\u4e3a [0000010] \u7b49\u3002
\u539f\u7801\uff1a\u7b26\u53f7\u4f4d\u52a0\u771f\u6570\u7684\u7edd\u5bf9\u503c\uff0c\u7528\u7b2c\u4e00\u4f4d\u8868\u793a\u7b26\u53f7\uff0c \u5176\u4f59\u4f4d\u8868\u793a\u503c\u3002
\u53cd\u7801\uff1a\u6b63\u6570\u7684\u53cd\u7801\u662f\u5176\u672c\u8eab\uff1b\u8d1f\u6570\u7684\u53cd\u7801\u662f\u5728\u5176\u539f\u7801\u7684\u57fa\u7840\u4e0a\uff0c \u7b26\u53f7\u4f4d\u4e0d\u53d8\uff0c\u5176\u4f59\u5404\u4e2a\u4f4d\u53d6\u53cd\u3002
所以 加减乘除法运算定律有：
加法交换律 a+b=b+a
加法结合律 (a+b)+c=a+(b+c)
乘法交换律 ab=ba
乘法结合律 a(bc)=(ab)c
乘法对加法的分配律 a(b+c)=ab+ac。
先算乘除，后算加减。
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