配套习题-用分类讨论思想解决两圆相切问题（一） -【青果学院】

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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

提示1：IOe7k+WQiOS4pOWchuWkluWIh+WchuW/g+i3neetieS6juS4pOWchuWNiuW+hOmVv+WIhuaekOS4ieinkuW9oueahOi+uemVv++8jOWGjeWIqeeUqOWLvuiCoeWumueQhuadpeiuoeeuly4=
答案：Qg==
6Kej77ya6K6+5Y2K5b6E5Li6MeS4juWNiuW+hOS4ujLnmoTlnIblv4Pot53kuLphPTErMj0z77yMPGJyPuWNiuW+hOS4ujHkuI7ljYrlvoTkuLoz55qE5ZyG5b+D6Led5Li6Yj0xKzM9NO+8jDxicj7ljYrlvoTkuLoz5LiO5Y2K5b6E5Li6MueahOWchuW/g+i3neS4umM9MiszPTXvvJs8YnI+4oi1MzxzdXA+Mjwvc3VwPis0PHN1cD4yPC9zdXA+PTU8c3VwPjI8L3N1cD7vvIw8YnI+4oi0YTxzdXA+Mjwvc3VwPitiPHN1cD4yPC9zdXA+PWM8c3VwPjI8L3N1cD7vvIzljbPkuInkuKrlnIbnmoTlnIblv4PnlKjnur/ov57mjqXmiJDkuInop5LlvaLmmK/nm7Top5LkuInop5LlvaIuIDxicj7mlYXpgIlCLiA=

本课配套习题挑战模式2/5

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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

提示1：IOimgeaxguaRhuaUvuehrOW4geacgOWkmu+8jOaIkeS7rOeUu+WHuuebuOW6lOeahOWbvuW9ou+8jOWmguWbvu+8jOaIkeS7rOWPquimgeaxguW+l+i/h1Dlr7niiplP5YGa5YiH57q/5aS56KeS5Y2z5Y+v55SxMzYwwrDDt+WkueinkuW6puaVsO+8jOW+l+i/meaemuehrOW4geWRqOWbtOacgOWkmuWPr+aRhuaUvuS4quaVsC4=
答案：Qw==
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

本课配套习题挑战模式3/5

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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

提示1：IOi/h0HngrnkvZxBQeKAsuWeguebtOWimemdou+8jOi/h0LngrnkvZxCQuKAsuWeguebtOWimemdou+8jOi/h0HngrnkvZxBQ+KKpUJCJ++8jOaxguWHukFDLg==
答案：Qw==
6Kej77ya6L+HQeeCueS9nEFB4oCy5Z6C55u05aKZ6Z2i77yM6L+HQueCueS9nEJC4oCy5Z6C55u05aKZ6Z2i77yM6L+HQeeCueS9nEFD4oqlQkLigLLvvIw8YnI+PGltZyB3aWR0aD0xMjggaGVpZ2h0PTE1OCBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwL0EwL0NDL3JCQUNFMU9XeElhQjJVU2RBQUFUY21CcHZZTTg3NS5wbmciPjxicj7iiLXkuKTova7ljYrlvoTliIbliKvkuLo05ZKMMe+8jDxicj7iiLRBQj0177yMQkM9M++8jDxicj7iiLRB4oCyQuKAsj1BQz0077yMPGJyPuaVheWimeeahOWIh+eCuUHigLLjgIFC4oCy6Ze055qE6Led56a75Li6NOexs++8mzxicj7mlYXpgIlDLiA=

本课配套习题挑战模式4/5

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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

提示1：IOS4pOWchueahOS9jee9ruWFs+ezu+acie+8muebuOemu++8iGTvvJ5SK3LvvInjgIHnm7jliIfvvIhkPVIrcuaIlmQ9Ui1y77yJ44CB55u45Lqk77yIUi1y77ycZO+8nFIrcu+8iS4=
答案：Qg==
6Kej77ya4oi14oqZTzxzdWI+MTwvc3ViPueahOWNiuW+hOS4ujNjbe+8jOKKmU88c3ViPjI8L3N1Yj7nmoTljYrlvoTkuLo1Y23vvIw8YnI+5qC55o2u5ZyG5LiO5ZyG5LmL6Ze055qE5L2N572u5YWz57O777yM5Y+v55+lPGJyPuiLpeS4pOWchuebuOWGheWIhzxicj7liJnlnIblv4Pot51PPHN1Yj4xPC9zdWI+TzxzdWI+Mjwvc3ViPj0y77ycNu+8jDxicj7oi6XkuKTlnIbnm7jlpJbliIfvvIw8YnI+5YiZTzxzdWI+MTwvc3ViPk88c3ViPjI8L3N1Yj49OO+8njY8YnI+5pWF5Y+v5Yik5pat77yM5Lik5ZyG5LiN5Y+v6IO955u45YiHPGJyPuaVhemAiUIuIA==

本课配套习题挑战模式5/5

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难度系数：

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

提示1：IOe7k+WQiOmimOaEj++8jOWPr+S7peWuueaYk+aJvuWHuuS4pOS4qu+8jOWNs+S9jeS6juKKmU88c3ViPjE8L3N1Yj7kuI7iiplPPHN1Yj4yPC9zdWI+5ZyG5b+D5omA5Zyo55u057q/55qE5Lik5L6n77yM5q2k5pe25pyJ5Lik5Liq5ZyG5ruh6Laz5p2h5Lu277yb6L+Y5pyJ5LiA5Liq5ZyG5piv5Zyo55qE5ZyG5b+D5ZKM4oqZTzxzdWI+MTwvc3ViPuS4juKKmU88c3ViPjI8L3N1Yj7nmoTlnIblv4PkvY3kuo7kuIDmnaHnm7Tnur/kuIrvvIzkuJTlnYfkuI7iiplPPHN1Yj4xPC9zdWI+5LiO4oqZTzxzdWI+Mjwvc3ViPuWkluWIhy4g5pWF5ruh6Laz5p2h5Lu255qE5ZyG5Y+q5pyJ6L+Z5LiJ5LiqLg==
答案：Qw==
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