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歡迎您訪問數學考題練習:不改變分式的值,使分式的各項系數化為整數,則分!

數學考題練習:不改變分式的值,使分式的各項系數化為整數,則分

更新時間:2024-01-12 16:43:54作者:貝語網校

不改變分式的值,使分式的各項系數化為整數,則分子、分母應同時乘以

A.10

B.9

C.45

D.90

試題答案

D

試題解析

不改變分式的值,又要使分式中的各項系數全部化為整數,考慮到分式的分子、分母中各項系數均為分數,可分兩步進行思考.分式分子的各項系數化為整數要乘以10,分式分母的各項系數化為整數要乘以9,所以分式的各項系數全部化為整數則要乘以10和9的最小公倍數90.

解答:因為分式分子的各項系數化為整數要乘以10,

分式分母的各項系數化為整數要乘以9,

所以分式的各項系數全部化為整數則要乘以10和9的最小公倍數90.

故選D.

點評:在分式中,無論進行何種運算,如果要不改變分式的值,則所做變化必須遵循分式基本性質的要求.

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