國中一年級數學相關問題:

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國中一年級數學相關問題

Sep 6th 2013, 23:59

➀請問 ax674=5943，則算式(a－10)x674=_____?
Sol:
(a－10)x674
=ax674－6740
=5943－6740
=－797

➁(-１1)+(-１2)+‥..(-１99)
(-１)1+(-１)2+......(-１)99
(-１1)x(-１2)x......(-１99)
(-１)1x(-１)2x......(-１)99
上面四個算式請問哪個算式算出來的答案不等於－1
Sol:
(-１1)+(-１2)+‥..(-１99)
=(－1)+(－1)+(－1)+…+(－1)
=－99

(-１)1+(-１)2+......(-１)99
=(－1)+1+(－1)+1+(－1)+…+(－1)
=－1

(-１1)x(-１2)x......(-１99)
=(－1)x(－1)x(－1)x…x(－1)
=(－1)x99
=－1

(-１)1x(-１)2x......(-１)99
=(－1)x(1)x(－1)x(1)......
=－1

參考資料： Yahoo!和自己

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