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【题目】比较下列各题中两个值的大小.

(1)1.82.2,1.83;(2)0.7-0.3,0.7-0.4;(3)1.90.4,0.92.4.

【答案】(1)1.82.2<1.83.(2)0.7-0.3<0.7-0.4.(3)1.90.4>0.92.4.

【解析】(1)1.82.2,1.83可看作函数y=1.8x的两个函数值,

∵1.8>1,∴y=1.8x在R上为增函数,∴1.82.2<1.83.

(2)∵y=0.7x在R上为减函数,

又∵-0.3>-0.4,∴0.7-0.3<0.7-0.4.

(3)∵1.90.4>1.90=10.92.4<0.90=1,∴1.90.4>0.92.4.

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