中学生网络课堂本课配套习题挑战模式1/6
单选题
难度系数：
1.下列关于三角形的内心和外心的说法中，正确的说法为（ ）
①三角形的内心是三角形内切圆的圆心；
②三角形的内心是三个角平分线的交点；
③三角形的外心到三边的距离相等；
④三角形的外心是三边中垂线的交点.
①三角形的内心是三角形内切圆的圆心；
②三角形的内心是三个角平分线的交点；
③三角形的外心到三边的距离相等；
④三角形的外心是三边中垂线的交点.
| A: ①②③④ |
| B: ①②③ |
| C: ①②④ |
| D: ②③④ |
一次做对，真牛！
+5奖励规则>
- 提示1：IOKAnOS4juS4ieinkuW9ouWQhOi+uemDveebuOWIh+eahOWchuWPq+S4ieinkuW9oueahOWGheWIh+Wchu+8jOS4ieinkuW9oueahOWGheWIh+WchueahOWchuW/g+WPq+WBmuS4ieinkuW9oueahOWGheW/g++8jOi/meS4quS4ieinkuW9ouWPq+WBmuWchueahOWkluWIh+S4ieinkuW9oi4g5LiJ6KeS5b2i55qE5YaF5b+D5bCx5piv5LiJ6KeS5b2i5LiJ5Liq5YaF6KeS6KeS5bmz5YiG57q/55qE5Lqk54K5LiDigJ0=
- 提示2：IOKAnOS7u+S9leS4gOS4quS4ieinkuW9ouacieS4lOS7heacieS4gOS4quWGheWIh+Wchu+8jOiAjOS7u+S4gOS4quWchumDveacieaXoOaVsOS4quWkluWIh+S4ieinkuW9oi4g4oCd
- 提示3：IOKAnOS4ieinkuW9ouWGheW/g+eahOaAp+i0qO+8muS4ieinkuW9oueahOWGheW/g+WIsOS4ieinkuW9ouS4iei+ueeahOi3neemu+ebuOetie+8m+S4ieinkuW9oueahOWGheW/g+S4juS4ieinkuW9oumhtueCueeahOi/nue6v+W5s+WIhui/meS4quWGheinki4g4oCd
- 答案：Qw==
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
本课配套习题挑战模式2/6
单选题
难度系数：
2.
如图所示，在半径为r的圆内作一个内接正三角形，然后作这个正三角形的一个内切圆，又在这个内切圆中作内接正三角形，依次再作内切圆，那么图中最小的圆的半径是（ ）
| A:
|
| B:
|
| C:
|
| D:
|
一次做对，真牛！
+5奖励规则>
- 提示1：PHA+5qC55o2u562J6L655LiJ6KeS5b2i55qE5aSW5o6l5ZyG5ZKM5YaF5YiH5ZyG5b6X5Ye64oigT0FEPTMwwrDvvIziiKBPREE9OTDCsO+8mzwvcD4=
- 提示2：PHA+5rGC5Ye6T0U8aW1nIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvMjMvM0IvckJBQ0UxTU1Uazd3TkM3UUFBQUJPZ29DQVJBMjg5LnBuZyIgZGF0YS1ja2Utc2F2ZWQtc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC8yMy8zQi9yQkFDRTFNTVRrN3dOQzdRQUFBQk9nb0NBUkEyODkucG5nIiBoZWlnaHQ9IjQyIiB3aWR0aD0iMjMiPnLvvIzlkIznkIbmsYLlh7pPRjwvcD4=
- 答案：QQ==
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
本课配套习题挑战模式3/6
单选题
难度系数：
3.
如图，△ABC的内切圆⊙O与BC，CA，AB分别相切于点D，E，F，且AB=9cm，BC=14cm，CA=13cm，则AF的长为（ ）
| A: 3cm |
| B: 4cm |
| C: 5cm |
| D: 9cm |
一次做对，真牛！
+5奖励规则>
- 提示1：PHA+6K6+QUY9YWNt77yM5qC55o2u5YiH57q/6ZW/5a6a55CG5b6X5Ye6QUY9QUXvvIxDRT1DRO+8jEJGPUJE77ybPC9wPg==
- 提示2：PHA+5rGC5Ye6QkQ9QkY977yIOS1h77yJY23vvIxDRD1DRT3vvIgxMy1h77yJY23vvJs8L3A+
- 提示3：PHA+5qC55o2uQ0QrQkQ9QkPvvIzku6PlhaXmsYLlh7ph5Y2z5Y+vLjwvcD4=
- 答案：Qg==
PGRpdj7op6PvvJrorr5BRj1hY23vvIw8YnI+4oi14pazQUJD55qE5YaF5YiH5ZyG4oqZT+S4jkJD77yMQ0HvvIxBQuWIhuWIq+ebuOWIh+S6jueCuUTvvIxF77yMRu+8jDxicj7iiLRBRj1BRe+8jENFPUNE77yMQkY9QkTvvIw8YnI+4oi1QUI9OWNt77yMQkM9MTRjbe+8jENBPTEzY23vvIw8YnI+4oi0QkQ9QkY977yIOS1h77yJY23vvIxDRD1DRT3vvIgxMy1h77yJY23vvIw8YnI+4oi1QkQrQ0Q9QkM9MTRjbe+8jDxicj7iiLTvvIg5LWHvvIkr77yIMTMtYe+8iT0xNO+8jDxicj7op6PlvpfvvJphPTTvvIw8YnI+5Y2zQUY9NGNtLjxicj7mlYXpgIlCLjwvZGl2Pg==
本课配套习题挑战模式4/6
单选题
难度系数：
4.如图，O是△ABC的内心，过点O作EF∥AB，与AC、BC分别交E、F，则（ ）
| A: EF＞AE+BF |
| B: EF＜AE+BF |
| C: EF=AE+BF |
| D: EF≤AE+BF |
一次做对，真牛！
+5奖励规则>
- 提示1：IOi/nuaOpU9B77yMT0LvvJs=
- 提示2：IOeUsU/mmK/ilrNBQkPnmoTlhoXlv4Plj6/nn6VPQeOAgU9C5YiG5Yir5piv4oigQ0FC5Y+K4oigQUJD55qE5bmz5YiG57q/77yM5pWF5Y+v5b6X5Ye64oigRUFPPeKIoE9BQu+8jOKIoEFCTz3iiKBGQk/vvJs=
- 提示3：IOeUsUVG4oilQULlj6/nn6XvvIziiKBBT0U94oigT0FC77yM4oigQk9GPeKIoEFCT++8jOaVheWPr+W+l+WHuuKIoEVBTz3iiKBBT0XvvIziiKBGQk894oigQk9G77yM5pWFQUU9T0XvvIxPRj1CRuOAgg==
- 答案：Qw==
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
本课配套习题挑战模式5/6
单选题
难度系数：
5.
如图为△ABC的内切圆，点D，E分别为边AB，AC上的点，且DE为⊙I的切线，若△ABC的周长为21，BC边的长为6，则△ADE的周长为（）
| A: 15 |
| B: 9 |
| C: 7.5 |
| D: 7 |
一次做对，真牛！
+5奖励规则>
- 提示1：PHA+5qC55o2u5LiJ6KeS5b2i5YaF5YiH5ZyG55qE5oCn6LSo5Y+K5YiH57q/6ZW/5a6a55CG5Y+v5b6XRE09RFDvvIxCTj1CTe+8jENOPUNR77yMRVE9RVA7PC9wPg==
- 提示2：PHA+5rGC5Ye6Qk0rQ1E8L3A+
- 提示3：PHA+5Luj5YWl5rGC5Ye64pazQURF55qE5ZGo6ZW/PUFEK0RFK0FFPUFEK0FFK0RNK0VRPC9wPg==
- 答案：Qg==
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
本课配套习题挑战模式6/6
单选题
难度系数：
6.
如图，BC是⊙O的直径，半径为R，A为半圆上一点，I为△ABC的内心，延长AI交BC于D点，交⊙0于点E，作IF⊥BC，连接AO，BI. 下列结论：①AB+AC=BC+2IF；②4∠AIB-∠BOA=360°；③EB=EI；④
为定值，其中正确的结论有（ ）
| A: ①③④ |
| B: ①②③ |
| C: ①②③④ |
| D: ①②④ |
一次做对，真牛！
+5奖励规则>
- 提示1：PHA+4pGg5Yip55So55u06KeS5LiJ6KeS5b2i5YaF5YiH5ZyG5Y2K5b6E55qE5rGC5rOV6Kej562U5Y2z5Y+v77ybPC9wPg==
- 提示2：PHA+4pGh5Yip55So6KeS5bmz5YiG57q/5a6a5LmJ77yM5LiJ6KeS5b2i5YaF6KeS5ZKM5a6a55CG77yM5ZyG5ZGo6KeS5a6a55CG5Y+v5b6X5q2j56Gu5oCn77ybPGJyPuKRouWIqeeUqOinkuW5s+WIhue6v+WumuS5ie+8jOWkluinkuefpeivhuWPr+W+l+KIoEVJQj3iiKBFQknvvIzpgqPkuYhFQj1FSe+8mzwvcD4=
- 提示3：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
- 答案：Qw==
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