我们知道：1-1/2=1/2;1/2-1/3=1/6;1/3-1/4=1/12;...... 1/2*1/3为什么=1/2-1/3
C\u8bed\u8a00\u7f16\u5199\u51fd\u6570\u6c42\uff1a1-1/2+1/3-1/4+1/5-1/6+...1/n\u7684\u503c\u600e\u4e48\u505a?\u7ed3\u679c\u662f\u4ec0\u4e48\u5462?\u9700\u8981\u51c6\u5907\u7684\u6750\u6599\u5206\u522b\u6709\uff1a\u7535\u8111\u3001C\u8bed\u8a00\u7f16\u8bd1\u5668\u3002
1\u3001\u9996\u5148\uff0c\u6253\u5f00C\u8bed\u8a00\u7f16\u8bd1\u5668\uff0c\u65b0\u5efa\u4e00\u4e2a\u521d\u59cb.cpp\u6587\u4ef6\uff0c\u4f8b\u5982\uff1atest.cpp\u3002
2\u3001\u5728test.cpp\u6587\u4ef6\u4e2d\uff0c\u8f93\u5165C\u8bed\u8a00\u4ee3\u7801\uff1a\u3002
int n = 100;double s;
for (int i = 1; i <= n; i++)
if (i % 2 == 0)
s -= 1.0 / i;
else
s += 1.0 / i;
printf("%lf", s);
3\u3001\u7f16\u8bd1\u5668\u8fd0\u884ctest.cpp\u6587\u4ef6\uff0c\u6b64\u65f6\u6210\u529f\u8f93\u51fa\u4e86\u6446\u52a8\u7b26\u53f7\u591a\u9879\u5f0f\u7684\u7ed3\u679c\u3002
1/2*1/3=1/2-1/3\u7684\u8bc1\u660e\u8fc7\u7a0b\u5982\u4e0b\uff1a
\u8bc1\u660e\uff1a1/2-1/3=(1*3)/(2*3)-(1*2)/(3*2)
=(1*3-1*2)/(2*3)
=1/(2*3)
=(1/2)*(1/3)
\u5373\u8bc1\u660e1/2*1/3=1/2-1/3\u3002
\u6269\u5c55\u8d44\u6599\uff1a
\u5206\u6570\u7684\u8fd0\u7b97\u6cd5\u5219
1\u3001\u5206\u6570\u7684\u4e58\u6cd5
\uff081\uff09\u6574\u6570\u4e58\u4ee5\u5206\u6570\uff0c\u5206\u6bcd\u4e0d\u53d8\uff0c\u5206\u5b50\u4e0e\u6574\u6570\u76f8\u4e58\u3002
\u4f8b\u9898\uff1a12*5/9=(12*5)/9=60/9=20/3\u3002
\uff082\uff09\u5206\u6570\u4e58\u4ee5\u5206\u6570\uff0c\u7528\u5206\u6bcd\u4e58\u4ee5\u5206\u6bcd\uff0c\u5206\u5b50\u4e58\u4ee5\u5206\u5b50\u3002
\u4f8b\u9898\uff1a3/7*2/9=(3*2)/(7*9)=6/63=2/21\u3002
2\u3001\u5206\u6570\u7684\u52a0\u51cf\u6cd5
\uff081\uff09\u76f8\u540c\u5206\u6bcd\u7684\u5206\u6570\u76f8\u52a0\uff08\u51cf\uff09\uff0c\u5206\u6bcd\u4e0d\u53d8\uff0c\u5206\u5b50\u76f8\u52a0\uff08\u51cf\uff09\u3002
\u4f8b\u9898\uff1a2/9+3/9=\uff082+3\uff09/9=5/9
5/11-3/11=\uff085-3\uff09/11=2/11\u3002
\uff082\uff09\u4e0d\u540c\u5206\u6bcd\u7684\u5206\u6570\u76f8\u52a0\u51cf\uff0c\u5148\u628a\u5206\u6bcd\u53d8\u6362\u4e3a\u76f8\u540c\uff0c\u5728\u6309\u540c\u5206\u6bcd\u5206\u6570\u76f8\u52a0\u51cf\u7684\u65b9\u6cd5\u8fdb\u884c\u8fd0\u7b97\u3002
\u4f8b\u9898\uff1a2/3+1/4=8/12+3/12=(8+3)/12=11/12
3/4-2/3=9/12-8/12=(9-8)/12=1/12\u3002
\u53c2\u8003\u8d44\u6599\u6765\u6e90\uff1a\u767e\u5ea6\u767e\u79d1-\u5206\u6570
=1-1/2+1/2-1/3+1/3-1/4+……+1/99-1/100
=1-1/100
=99/100
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