问题 选择题

若P={x|4x-10×2x+16<0},Q={x|log3x+log3(x-1)>log32},则P∩Q=(  )

A.(3,+∞)

B.(-1,2)

C.(2,3)

D.(1,2)

答案

P={x|4x-10×2x+16<0}={x|(2x-2)(2x-8)<0}={x|2<2x<8}={x|1<x<3},

Q={x|log3x+log3(x-1)>log32}={x|

x>0
x-1>0
x(x-1)>2
}={x|x>2},

故P∩Q=(2,3),

故选C.

完形填空
Mr. Smith lives in a village. He has ____ farms and about twenty people working for him. He often tells them ____ hard and be honest. (诚实的).
Today he goes to a farm and works with the workers there as usual. Soon it is time ____lunch. He puts ____ nice bread on the table and then ____. A few minutes later he comes back again but he ____ find the bread.
“ Who eats____  on the table?” he shouts.
Some of the workers answer “ We  ____.”
The others say, “ We see nothing.”
“ Well,”says Mr. Smith, “____ are a lot of mice in the rooms, you know. So I ____ some poison (毒药)in the bread.  ____ they eat, they must die. Then I can kill them.”
As soon as he finishes, four workers begin to cry. “Oh, dear!”
“ What’s wrong with you?” ____ Mr. Smith.
“ We eat the bread when you are out. We are going to die.” one of them cries.
“ ____,” Mr. Smith says ____ a smile, “ I only ____you. Use your head.”
小题1:
A.a fewB.fewC.littleD.a little
小题2:
A.workB.workingC.workedD.to work
小题3:
A.inB.atC.forD.with
小题4:
A.twoB.manyC.aD.some
小题5:
A.goes outB.comes inC.entersD.gets in
小题6:
A.shouldn’tB.can’tC.wouldn’tD.mustn’t
小题7:
A.foodB.the breadC.drinksD.apples
小题8:
A.aren’tB.don’tC.doD.doesn’t
小题9:
A.TheyB.WeC.WhatD.There
小题10:
A.takeB.buyC.putD.need
小题11:
A.ThatB.BeforeC.IfD.Until
小题12:
A.asksB.askC.answerD.answers
小题13:
A.Excuse meB.Don’t worryC.CongratulationsD.Great
小题14:
A.withB.forC.inD.on
小题15:
A.have fun withB.play a trick onC.killD.have lunch with
单项选择题