已知实数x,y满足x^2+y^2=3(y>=0),若m=(y+1)/(x+3),n=2x+y,则m,n的取值范围是?
已知实数x,y满足x^2+y^2=3(y>=0),若m=(y+1)/(x+3),n=2x+y,则m,n的取值范围是?
数学人气:237 ℃时间:2020-03-30 01:26:39
优质解答
x^2+y^2=3(y>=0),可得:x,y是构成在X轴上方的半圆.-√3≤x≤√3,y≥0 所以m=(y+1)/(x+3)>0 即y=mx+3m-1 要使得直线y=mx+3m-1与半圆有交点,则 当直线过点(√3,0)时,m=(3-√3)/6 当直线与半圆相切时,把直线方程代入半圆...
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