解:令x-2y=k,则x=k+2y,把x=k+2y代入(x+2)²+y²=1化得:5y²+4(k+2)y+k²+4k+3=0,由此方程有实数根得:16(k+2)²-20(k²+4k+3) ≧0,解得:-2-√5≤k≤-2+√5;令(y-2)/(x-1)=m,则y-2=m(x-1),即:y=mx+2-m,把y=mx+2-m代入(x+2)²+y²=1化得:下面解法和上题相同