小学数学巧算和速算方法 小学数学速算与巧算
\u5c0f\u5b66\u6570\u5b66\u901f\u7b97\u5de7\u7b97\u5728\u5c0f\u5b66\u6570\u5b66\u8ba1\u7b97\u6559\u5b66\u4e2d\uff0c\u7ecf\u5e38\u4f1a\u9047\u5230\u8ba1\u7b971\u00d72\u30012\u00d73\u30013\u00d74\u30014\u00d75\u2026\u2026 \u4e5f\u5c31\u662f\u8ba1\u7b97\u76f8\u90bb\u7684\u4e24\u4e2a\u6570\u7684\u4e58\u79ef\u3002 \u800c\u5bf9\u4e8e1\u00d72+2\u00d73+3\u00d74+4\u00d75+\u2026\u2026 \u8fd9\u6837\u7e41\u7410\u7684\u9898\u76ee\uff0c\u662f\u5426\u6709\u5b83\u7684\u8ba1\u7b97\u89c4\u5f8b\u5462\uff1f \u8bf7\u770b\u4e0b\u9762\u7684\u7b97\u5f0f\uff1a 1\u00d72 = 2 =1\u00d72\u00d73\u00f73 1\u00d72+2\u00d73 = 8 =2\u00d73\u00d74\u00f73 1\u00d72+2\u00d73+3\u00d74 =20= 3\u00d74\u00d75\u00f73 \u2026\u2026 1\u00d72+2\u00d73+3\u00d74+\u2026\u2026+\uff08n-2\uff09\u00d7\uff08n-1\uff09+\uff08n-1\uff09\u00d7 n =\uff08n-1\uff09\u00d7 n\u00d7\uff08n+1\uff09\u00f73 (\u5176\u4e2d n\u4e3a\u4efb\u610f\u6574\u6570) \u7531\u6b64\u53ef\u89c1\uff0c\u5bf9\u4e8e\u4efb\u610f\u4e00\u4e2a\u6574\u6570\uff0c\u4ece1\u5230\u5b83\u4e4b\u95f4\u7684\u6bcf\u76f8\u90bb\u4e24\u4e2a\u6570\u4e58\u79ef\u7684\u548c\u90fd\u7b49\u4e8e\u6bd4\u5b83\u5c0f1\u548c\u6bd4\u5b83\u59271\u53ca\u5b83\u672c\u8eab\u4e09\u4e2a\u6570\u7684\u4e58\u79ef\uff0c\u518d\u9664\u4ee53 \u3002 \u5373\u5bf9\u4e8e\u4efb\u610f\u4e00\u4e2a\u6574\u6570n\uff0c\u90fd\u6709 1\u00d72+2\u00d73+3\u00d74+\u2026\u2026+\uff08n-2\uff09\u00d7\uff08n-1\uff09+\uff08n-1\uff09\u00d7 n =\uff08n-1\uff09\u00d7 n\u00d7\uff08n+1\uff09\u00f73 \u6839\u636e\u8fd9\u4e2a\u89c4\u5f8b\uff0c\u8ba1\u7b97\u5c31\u663e\u5f97\u7b80\u4fbf\u591a\u4e86\uff0c\u4f8b\u5982\uff1a 33\u00d734+34\u00d735+35\u00d736+36\u00d737+37\u00d738 =\uff081\u00d72+2\u00d73+3\u00d74+\u2026\u2026+37\u00d738\uff09\uff0d\uff081\u00d72+2\u00d73+3\u00d74+\u2026\u2026+32\u00d733\uff09 = 37\u00d738\u00d739\u00f73\uff0d32\u00d733\u00d734\u00f73 = 6310
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\u7b2c\u4e8c\u9898\u7684\u8bdd\u662f\u8fd9\u6837\u7684\uff0c231\u00f7231\u53c8232\u5206\u4e4b231\uff0c
\u5148\u628a\u540e\u9762\u7684\u4ee5\u65b9\u7a0b\u7684\u5f62\u5f0f\u6574\u5408\uff0c
\u4e3a232\u4e4b\u5206231\u00d7232+231\uff0c\u518d\u628a\u5b83\u5012\u8fc7\u6765\uff0c
\u5c31\u6210\u4e86231\u00d7\uff08231\u00d7232+231\u5206\u4e4b232\uff09\u4e86\uff0c\u63d0\u53d6\u4e00\u4e0b\uff0c
231\u00d7\uff08231\u00d7\uff08232+1\uff09\u5206\u4e4b232\uff09\uff0c\u7ea6\u6389\u5c31\u597d\u5566
解题思路:四则运算规则(按顺序计算,先算乘除后算加减,有括号先算括号,有乘方先算乘方)即脱式运算(递等式计算)需在该原则前提下进行
解题过程:
125×19×8
=125×8×19
=1000×19
=19000
扩展资料-计算过程:先将两乘数末位对齐,然后分别使用第二个乘数,由末位起对每一位数依次乘上一个乘数,最后将所计算结果累加即为乘积,如果乘数为小数可先将其扩大相应的倍数,最后乘积在缩小相应的倍数；
解题过程:
步骤一:8×125=1000
根据以上计算结果相加为1000
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