Question

填空：如果四個(gè)有理數(shù)相乘，積為負(fù)數(shù)，那么負(fù)因數(shù)個(gè)數(shù)是________．

Answer 1

1或3
分析：幾個(gè)不為0的數(shù)相乘，積的符號由負(fù)因數(shù)的個(gè)數(shù)確定，負(fù)因數(shù)有奇數(shù)個(gè)，積為負(fù)；負(fù)因數(shù)有偶數(shù)個(gè)，積為正．
解答：∵abcd＜0，
∴a，b，c，d中有1個(gè)或3個(gè)負(fù)數(shù)，
故答案為：1或3．
點(diǎn)評：本題考查了幾個(gè)不等于零的數(shù)相乘，積的符號由負(fù)因數(shù)的個(gè)數(shù)決定：當(dāng)負(fù)因數(shù)有奇數(shù)個(gè)數(shù)，積為負(fù)；當(dāng)負(fù)因數(shù)的個(gè)數(shù)為偶數(shù)個(gè)時(shí)，積為正．