中学生网络课堂本课配套习题挑战模式1/5
单选题
难度系数：
1.
如图，在△ABC中，AB=14，BC=12，AD：DB=4：3，DE∥BC，角平分线BG交DE于点F，则GF：GB的值为（ ）
| A: 4：3 |
| B: 4：7 |
| C: 1：13 |
| D: 1：14 |
一次做对，真牛！
+5奖励规则>
- 提示1：PHA+55SxREXiiKVCQ+WPr+W+l+KIoEdGRT3iiKBHQkPvvJvnlLHop5LlubPliIbnur9CR++8jOWPr+W+l+KIoERCRj3iiKBHQkPvvIzlm6DkuLriiKBHRkU94oigQkZE77yI5a+56aG254K56KeS55u4562J77yJ77yM5omA5Lul4oigREJGPeKIoERGQu+8jOWNs0JEPURG77ybPC9wPg==
- 提示2：PHA+55SxQUI9MTTvvIxCQz0xMu+8jEFE77yaREI9NO+8mjPvvIxBREXiiL3ilrNBQkPlj6/lvpdERTwvcD4=
- 答案：RA==
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
本课配套习题挑战模式2/5
单选题
难度系数：
2.
如图，D、E是△ABC中BC边的两个三等分点，F是AC的中点，AD与EF交于O，则
等于（ ）
| A:
|
| B:
|
| C:
|
| D:
|
一次做对，真牛！
+5奖励规则>
- 提示1：PHA+6L+H54K5RuS9nEZI4oilQkPkuqRBROS6jkfvvIzmnoTlu7rlubPooYznur/vvIznhLblkI7lj6/ku6XlvpfliLDmr5Tkvovnur/mrrUuPC9wPjxwPjxpbWcgaGVpZ2h0PSIxMDQiIHdpZHRoPSIxNjgiIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvMjMvNEQvckJBQ0UxTU1WVmZpSHlkVUFBQVN5aTlGSjVVODE3LnBuZyIgc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC8yMy80RC9yQkFDRTFNTVZWZmlIeWRVQUFBU3lpOUZKNVU4MTcucG5nIj7igIs8L3A+
- 答案：QQ==
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
本课配套习题挑战模式3/5
单选题
难度系数：
3.
如图，△ABC中，D、E是BC边上的点，BD：DE：EC=3：2：1，M在AC边上，CM：MA=1：2，BM交AD，AE于H，G，则BH：HG：GM等于（ ）
| A: 3：2：1 |
| B: 5：3：1 |
| C: 25：12：5 |
| D: 51：24：10 |
一次做对，真牛！
+5奖励规则>
- 提示1：PHA+6L+e5o6lRU3vvIzmoLnmja7lt7Lnn6Xlj6/lvpfilrNCSETiiL3ilrNCTUXvvIzilrNDRU3iiL3ilrNDREHvvIzmoLnmja7nm7jkvLzmr5Tku47ogIzkuI3pmr7lvpfliLDnrZTmoYguPC9wPjxwPjxpbWcgaGVpZ2h0PSIxMDAiIHdpZHRoPSIxNDciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvMjMvNEQvckJBQ0UxTU1WVnVpTm41ekFBQVNZeVJGQlk0OTk0LnBuZyIgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC8yMy80RC9yQkFDRTFNTVZWdWlObjV6QUFBU1l5UkZCWTQ5OTQucG5nIj7igIs8L3A+
- 答案：RA==
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
本课配套习题挑战模式4/5
单选题
难度系数：
4.
如图，△ABC中，D为BC中点，E为AD的中点，BE的延长线交AC于F，则AF:FC的值为（ ）
| A: 1:5 |
| B: 1:4 |
| C: 1:3 |
| D: 1:2 |
一次做对，真牛！
+5奖励规则>
- 提示1：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
- 提示2：PHA+4pazQUVG4oi94pazQURHPC9wPg==
- 答案：RA==
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
本课配套习题挑战模式5/5
单选题
难度系数：
5.
如图，已知平行四边形ABCD中，E、F分别为边AB、AD上的点. EF与对角线AC交于P，
= 
，
（a、b、m、n均为正数），则
的值为（ ）
| A:
|
| B:
|
| C:
|
| D:
|
一次做对，真牛！
+5奖励规则>
- 提示1：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
- 提示2：PHA+5YaN6KGo56S65Ye6RU/jgIFCQ+eahOavlOWAvO+8jOS7juiAjOihqOekuuWHukVP77yM5Yip55So4pazQVBG4oi94pazT1BF5Y+v5Lul6KGo56S65Ye6UE/vvIzku6PlhaXnrKzkuIDkuKrmr5TkvovlvI/lsLHlj6/ku6XmsYLlh7rnu5PmnpwuPC9wPg==
- 答案：Qw==
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