一道关于九年级数学二次根式的题
已知√x+1÷√x=3(1÷√x是分数形式),求代数式x²+1÷x(1÷√x也是分数形式)的值?
把它抄下来比较好解.
人气:322 ℃ 时间:2019-10-27 10:24:47
解答
x²+1/x = (√x+1/√x)*(√x+1/√x)-2 = 3*3-2 = 7
思路是:
1. 寻找要求的式子与已知条件之间的关系?
2. 发现关系是已知条件两边平方的话会得到要求式子的项+2,因此用-2来修正
于是等到9-2=7了.
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