函数f(x)=lgx-x+1必有一个零点的区间是 A(0.1 ,0.2) B(0.2 ,0.3) C(0.3 ,0.4) D(0.4 ,0.5)

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函数f(x)=lgx-x+1必有一个零点的区间是 A(0.1 ,0.2) B(0.2 ,0.3) C(0.3 ,0.4) D(0.4 ,0.5)

函数f(x)=lgx-x+1必有一个零点的区间是 A(0.1 ,0.2) B(0.2 ,0.3) C(0.3 ,0.4) D(0.4 ,0.5)
函数f(x)=lgx-x+1必有一个零点的区间是 A(0.1 ,0.2) B(0.2 ,0.3) C(0.3 ,0.4) D(0.4 ,0.5)

函数f(x)=lgx-x+1必有一个零点的区间是 A(0.1 ,0.2) B(0.2 ,0.3) C(0.3 ,0.4) D(0.4 ,0.5)
因为f(0.1)=lg0.1-0.1+1=-1-0.1+1=-0.1<0
f(0.2)=lg0.2-0.2+1=lg2-0.2>0
所以f(0.1)f(0.2)<0
所以零点区间为A(0.1,0.2)
答案:选A