《2025年运算升级卡七年级数学上册人教版》

1.$\frac {1}{2}×\frac {2}{3}×\frac {3}{4}×... ×\frac {49}{50}$

答案： $\frac{1}{50}$

2.$(\frac {1}{100}-1)×(\frac {1}{99}-1)×(\frac {1}{98}-1)×... ×(\frac {1}{2}-1)$

答案： $(-\frac{99}{100})× (-\frac{98}{99})× ...× (-\frac{1}{2})=-\frac{1}{100}$

3.$(1+\frac {1}{2})×(1+\frac {1}{4})×(1+\frac {1}{6})×... ×(1+\frac {1}{20})×(1-\frac {1}{3})×(1-\frac {1}{5})×(1-\frac {1}{7})×... ×(1-\frac {1}{21})$

答案： $(\frac{3}{2}× \frac{1}{3})× (\frac{5}{4}× \frac{4}{5})× ...× (\frac{21}{20}× \frac{20}{21})=1× 1× ...× 1=1$

4.$(1+\frac {1}{2})×(1+\frac {1}{3})×(1+\frac {1}{4})×(1+\frac {1}{5})×... ×(1+\frac {1}{100})$

答案： $\frac{3}{2}× \frac{4}{3}× ...× \frac{101}{100}=\frac{101}{2}$

5.$(1-\frac {1}{2})×(1-\frac {1}{3})×(1-\frac {1}{4})×(1-\frac {1}{5})×(1-\frac {1}{6})×... ×(1-\frac {1}{100})$

答案： $\frac{1}{2}× \frac{2}{3}× ...× \frac{99}{100}=\frac{1}{100}$