题文
根据下列两组x、y的值,求出代数式
的值.
(1)
;
(2)满足
的x、y的值.
题型:未知 难度:其他题型
答案
(1)当
时,························································· (1分)
,···················································· (3分)
.··········································································· (4分)
(2)由非负性可知
·························································· (6分)
当
时,
,······················································ (7分)
. (8分)
解析
(1)把x、y的值代入代数式,运用有理数的混合运算求值.
(2)利用绝对值和完全平方都大于或等于0得出x、y的值.
点评:熟练运用合并同类项的法则,利用绝对值和完全平方不小零从而列出方程求解.
考点
据考高分专家说,试题“根据下列两组x、y的值,求出代数式的值......”主要考查你对 [有理数的混合运算 ]考点的理解。
有理数的混合运算
有理数的混合运算:
是一个运算式子中有加有减有乘有除有次方等运算方式的混合运算方式。
有理数混合运算的规律:
(1)先乘方,再乘除,最后加减;
(2)同级运算,从左到右进行;
(3)若有括号,先做括号内的运算,按小括号、中括号、大括号依次进行计算。


