配套习题- 用分类讨论思想解决两圆相切问题（一） -【青果学院】

1/5单选题

难度：

1.如图，⊙O₁，⊙O₂，⊙O₃两两相外切，⊙O₁的半径r₁=1，⊙O₂的半径r₂=2，⊙O₃的半径r₃=3，则△O₁O₂O₃是（　　）

A	锐角三角形
B	直角三角形
C	钝角三角形
D	锐角三角形或钝角三角形

正确答案：Qg==

6Kej77ya6K6+5Y2K5b6E5Li6MeS4juWNiuW+hOS4ujLnmoTlnIblv4Pot53kuLphPTErMj0z77yMPGJyPuWNiuW+hOS4ujHkuI7ljYrlvoTkuLoz55qE5ZyG5b+D6Led5Li6Yj0xKzM9NO+8jDxicj7ljYrlvoTkuLoz5LiO5Y2K5b6E5Li6MueahOWchuW/g+i3neS4umM9MiszPTXvvJs8YnI+4oi1MzxzdXA+Mjwvc3VwPis0PHN1cD4yPC9zdXA+PTU8c3VwPjI8L3N1cD7vvIw8YnI+4oi0YTxzdXA+Mjwvc3VwPitiPHN1cD4yPC9zdXA+PWM8c3VwPjI8L3N1cD7vvIzljbPkuInkuKrlnIbnmoTlnIblv4PnlKjnur/ov57mjqXmiJDkuInop5LlvaLmmK/nm7Top5LkuInop5LlvaIuIDxicj7mlYXpgIlCLiA=

2/5单选题

难度：

2.如图，有一枚圆形硬币，如果要在这枚硬币的周围摆放几枚与它完全相同的硬币，使得周围的硬币都和这枚硬币相外切，且相邻的硬币相外切，则这枚硬币周围最多可摆放（　　）

A	4枚硬币
B	5枚硬币
C	6枚硬币
D	8枚硬币

正确答案：Qw==

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

3/5单选题

难度：

3.如图，两圆轮叠靠在墙边，已知两轮半径分别为4和1，则它们与墙的切点A′、B′间的距离为（　　）

A	3米
B	5米
C	4米
D	2.5米

正确答案：Qw==

6Kej77ya6L+HQeeCueS9nEFB4oCy5Z6C55u05aKZ6Z2i77yM6L+HQueCueS9nEJC4oCy5Z6C55u05aKZ6Z2i77yM6L+HQeeCueS9nEFD4oqlQkLigLLvvIw8YnI+PGltZyB3aWR0aD0xMjggaGVpZ2h0PTE1OCBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwL0EwL0NDL3JCQUNFMU9XeElhQjJVU2RBQUFUY21CcHZZTTg3NS5wbmciPjxicj7iiLXkuKTova7ljYrlvoTliIbliKvkuLo05ZKMMe+8jDxicj7iiLRBQj0177yMQkM9M++8jDxicj7iiLRB4oCyQuKAsj1BQz0077yMPGJyPuaVheWimeeahOWIh+eCuUHigLLjgIFC4oCy6Ze055qE6Led56a75Li6NOexs++8mzxicj7mlYXpgIlDLiA=

4/5单选题

难度：

4.已知⊙O₁和⊙O₂的半径分别为3、5，⊙O₁上一点A与⊙O₂的圆心O₂的距离等于6，那么下列关于⊙O₁和⊙O₂的位置关系的结论一定错误的是（　　）

A	两圆外切
B	两圆内切
C	两圆相交
D	两圆外离

正确答案：Qg==

6Kej77ya4oi14oqZTzxzdWI+MTwvc3ViPueahOWNiuW+hOS4ujNjbe+8jOKKmU88c3ViPjI8L3N1Yj7nmoTljYrlvoTkuLo1Y23vvIw8YnI+5qC55o2u5ZyG5LiO5ZyG5LmL6Ze055qE5L2N572u5YWz57O777yM5Y+v55+lPGJyPuiLpeS4pOWchuebuOWGheWIhzxicj7liJnlnIblv4Pot51PPHN1Yj4xPC9zdWI+TzxzdWI+Mjwvc3ViPj0y77ycNu+8jDxicj7oi6XkuKTlnIbnm7jlpJbliIfvvIw8YnI+5YiZTzxzdWI+MTwvc3ViPk88c3ViPjI8L3N1Yj49OO+8njY8YnI+5pWF5Y+v5Yik5pat77yM5Lik5ZyG5LiN5Y+v6IO955u45YiHPGJyPuaVhemAiUIuIA==

5/5单选题

难度：

5.半径分别为l和2的两圆⊙O₁与⊙O₂外切，另有半径为3的⊙O₃同时与该两圆相切，则满足条件的⊙O₃共有（　　）

A	3个
B	4个
C	5个
D	6个

正确答案：Qw==

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