设集合M={(x,y)|x^2+y^2=4},N={(x,y)|(x-1)^2+(y-1)^2=r^2}(r＞0),当M

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设集合M={(x,y)|x^2+y^2=4},N={(x,y)|(x-1)^2+(y-1)^2=r^2}(r＞0),当M∩N=空集时,求实数r的取值范围

$设集合M={(x,y)|x^2+y^2=4},N={(x,y)|(x-1)^2+(y-1)^2=r^2}(r＞0),当M$

M={(x,y)|x^2+y^2=4},
N={(x,y)|(x-1)^2+(y-1)^2=r^2}(r＞0)
M∩N= ø
C:(x-1)^2+(y-1)^2=r^2:
circle ,center C(1,1),radius = r
C1:x^2+y^2=4
circle,center C1 (0,0),radius = 2
CC1 = √(1+1) = √2
M∩N= ø
=> r+2 < CC1 = √2
r < √2 -2 #

设全集U=｛（x,y)|x,y属于R｝,集合M={(x,y)|(y+2)除以(x-2)=1},N={(x,y)|y不等于设全集U=｛（x,y)|x,y属于R｝,集合M={(x,y)|(y-3)除以(x-2)=1},N={(x,y)|y不等于设集合M={(x,y)|x^2+y^2=1.x∈R,y∈R},N={(x,y)|x-y=0,x∈R,y∈R},则集合M∩ 设集合M=｛y|y=x²,x∈R｝,N=｛y|y=2-|x|,x∈R｝,则M∩N? 若全集I={(x,y)|x,y∈R},集合M={(x,y)|(y-3)/(x-2)},N{(x,y)|y=x=1},则( 设集合M=｛y|y=|cos^2-sin^2|,x属于R｝,N={x||x-(1/i)| 设集合M={x│x^2+y^2=1,x∈R,y∈R},N={y│y=x,x∈R},则集合M∩N等于多少设集合M={x|y=根号(3-x)},N={y|y=x^2-1,x∈R},则M∩N 设集合M={（x，y）|x2+y2≤4}，N={（x，y）|（x-1）2+（y-1）2≤r2（r＞0）}，当M∩N=N时设集合I={（x,y)|x属于R,y属于R} ,集合M={（x,y)|y-3/x-2=1} ,N={(x,y)|y不等于已知集合M={x|x-2＞0，x∈R}，N={y|y=x2+1，x∈R}，则M∪N等于（　　）设全集U={（x，y）|x，y∈R}，集合M={（x，y）|y+2x−2＝1}，N={（x，y）|y≠x-4}，那么（∁