若曲线y=1+√(4-x^2)(-2≤x≤2)与直线y=k(x-2)+4有两个交点,实数k取值范围?

求实数k的取值范围

First,wetranslatetheoriginofcoordinatesystemtothepoint(2,2),inthenewcoordinatesystemuv,u=x-2;v=y-2;wehavethecurve:(u+1)^2+(v+2)^2=1,where-2<=u<=0,and-2<=v<=0 *uthetangentlinetotheleftuppercircleisv=(3/4)*u;{bysubstitutingvbyk*uinthecurveequation,andbyusingtheconditionforthecurveequationhavingtwoeq...全部

  First,wetranslatetheoriginofcoordinatesystemtothepoint(2,2),inthenewcoordinatesystemuv,u=x-2;v=y-2;wehavethecurve:(u+1)^2+(v+2)^2=1,where-2<=u<=0,and-2<=v<=0 *uthetangentlinetotheleftuppercircleisv=(3/4)*u;{bysubstitutingvbyk*uinthecurveequation,andbyusingtheconditionforthecurveequationhavingtwoequalroots}thelinelinkingoldandneworiginsisv=u;therefore,inorderforthelinetointersectthecurvetwice,itsslopekshouldbe(3/4)  收起