题目

设函数f(x)=2x,g(x)=+2. (1)求函数g(x)的值域; (2)若g(x)≤,求实数x的取值范围; (3)当f(x)=g(x)时,求2x的值. 答案:解 (1)因为|x|≥0,所以2|x|≥1,所以0<≤1, 所以2<g(x)≤3, 即函数g(x)的值域为(2,3]. (2)由g(x)≤,得2-|x|+2≤, ∴2-|x|≤,∴|x|≥1,∴x≥1或x≤-1, ∴原不等式的解集为(-∞,-1]∪[1,+∞). (3)当f(x)=g(x)时,有2x=+2, 当x≥0时,得2x=+2,即(2x)2-2·2x+1=2,所以(2x-1)2=2, 得2x-1=(舍Ⅳ。根据?酋字母或汉语提示完成句子【1】Monkey King is my favourite c_______hero.【2】The man is not only h______,but also very kind.【3】The boy looks very s______.He draws everything well.【4】Yang Liwei is a great space h_______in China.【5】Don’t l_______at people in trouble.【6】He is very h_______.He often makes us laugh.【7】I have a________(打架)with Jim.I hurt him.【8】We’ve decided to teach him a________(教训).【9】There are many stars in the_________(天空)at night.【10】This pair of shoes is very________(时髦的).
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