配套习题- 运用全等三角形的性质解决有关计算问题(二) -【青果学院】

挑战习题

1/5单选题

难度：

1.如图，AD是△ABC的角平分线，DF⊥AB，垂足为F，DE=DG，△ADG和△AED的面积分别为50和39，则△EDF的面积为（　　）

A	11
B	5.5
C	7
D	3.5

提示1：: IOS9nERNPURF5LqkQUPkuo5N77yM5L2cRE7iiqVBQ++8jOWIqeeUqOinkuW5s+WIhue6v+eahOaAp+i0qOW+l+WIsEROPURG77yM5bCG5LiJ6KeS5b2iRURG55qE6Z2i56ev6L2s5YyW5Li65LiJ6KeS5b2iRE5N55qE6Z2i56ev5p2l5rGCLg==

正确答案：Qg==

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2/5单选题

难度：

2.如图，在△ABC中，AB=12，AC=6，AD是∠BAC的平分线，交BC于点D，DE⊥AC于点E，且DE=3，则S_△_ABD等于（　　）

A	9
B	10
C	18
D	30

提示1：: IOi/h+eCuUTkvZxERuKKpUFC77yM5qC55o2u6KeS5bmz5YiG57q/5LiK55qE54K55Yiw6KeS55qE5Lik6L6555qE6Led56a755u4562J5Y+v5b6XREY9REXvvIzlho3moLnmja7kuInop5LlvaLnmoTpnaLnp6/lhazlvI/liJflvI/ov5vooYzorqHnrpfljbPlj6/lvpfop6Mu

正确答案：Qw==

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3/5单选题

难度：

3.如图，△ABC中，∠C=90°，AC=BC，AD平分∠CAB交BC于点D，DE⊥AB，垂足为E，且AB=6cm，则△DEB的周长为（　　）

A	4cm
B	6cm
C	8cm
D	10cm

提示1：: IOWFiOWIqeeUqEFBU+WIpOWumuKWs0FDROKJjOKWs0FFROW+l+WHukFDPUFF77yMQ0Q9REXvvJvlho3lr7nmnoTmiJDilrNERULnmoTlh6DmnaHovrnov5vooYzlj5jmjaLvvIzlj6/lvpfliLDlhbblkajplb/nrYnkuo5BQueahOmVvy4=

正确答案：Qg==

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4/5单选题

难度：

4.如图，已知△ABC中，∠ABC=90°，AB=BC，三角形的顶点在相互平行的三条直线l₁，l₂，l₃上，且l₁，l₂之间的距离为2，l₂，l₃之间的距离为3，则△ABC面积为（　　）

A	13
B	12
C	6.5
D	6

提示1：: IOi/h0LkvZxFRuKKpeebtOe6v2w8c3ViPjE8L3N1Yj7kuo5F77yM5Lqk55u057q/bDxzdWI+Mzwvc3ViPuS6jkbvvIzliJlCRT0y77yMQkY9M++8jOivgeKWs0NFQuKJjOKWs0JGQe+8jOaOqOWHukNFPUJGPTPvvIxCRT1GQT0y77yM55Sx5Yu+6IKh5a6a55CG5rGC5Ye6QULjgIFCQ++8jOagueaNruS4ieinkuW9oumdouenr+WFrOW8j+axguWHuuWNs+WPry4=

正确答案：Qw==

6Kej77ya6L+HQuS9nEVG4oql55u057q/bDxzdWI+MTwvc3ViPuS6jkXvvIzkuqTnm7Tnur9sPHN1Yj4zPC9zdWI+5LqORu+8jDxicj48aW1nIHdpZHRoPTEyMCBoZWlnaHQ9OTkgc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC85RS84RS9yQkFDRTFPVmJBM3hGZVFKQUFBT3hISm5kWWc2OTgucG5nIiA+PGJyPuKItWw8c3ViPjE8L3N1Yj7iiKVsPHN1Yj4yPC9zdWI+4oilbDxzdWI+Mzwvc3ViPu+8jDxicj7iiLRFRuKKpWw8c3ViPjM8L3N1Yj7vvIw8YnI+5YiZQkU9Mu+8jEJGPTPvvIw8YnI+4oi04oigQ0VCPeKIoEFGQj05MMKwPeKIoENCQe+8jDxicj7iiLTiiKBFQ0Ir4oigRUJDPTkwwrDvvIziiKBFQkMr4oigQUJGPTkwwrDvvIw8YnI+4oi04oigRUNCPeKIoEFCRu+8jDxicj7lnKjilrNDRULlkozilrNCRkHkuK3vvIw8YnI+PGltZyB3aWR0aD0xMDcgaGVpZ2h0PTgzIHNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvNjIvNzgvckJBQ0ZGT1ZiQTJ6aV9DRUFBQUVRWGZjQ3U4OTkzLnBuZyI+IO+8jDx0YWJsZSBjbGFzcz1Nc29Ob3JtYWxUYWJsZSBib3JkZXI9MCBjZWxsc3BhY2luZz0wIGNlbGxwYWRkaW5nPTAgc3R5bGU9J2JvcmRlci1jb2xsYXBzZTpjb2xsYXBzZSc+IDx0cj4gIDx0ZCB3aWR0aD0wIG5vd3JhcCBzdHlsZT0nd2lkdGg6LjNwdDtwYWRkaW5nOjBjbSAwY20gMGNtIDBjbSc+PC90ZD4gIDx0ZCB3aWR0aD0wIG5vd3JhcCBzdHlsZT0nd2lkdGg6LjNwdDtwYWRkaW5nOjBjbSAwY20gMGNtIDBjbSc+PC90ZD4gIDx0ZCB3aWR0aD0wIG5vd3JhcCBzdHlsZT0nd2lkdGg6LjNwdDtwYWRkaW5nOjBjbSAwY20gMGNtIDBjbSc+PC90ZD4gPC90cj48L3RhYmxlPuKItOKWs0NFQuKJjOKWs0JGQe+8iEFBU++8ie+8jDxicj7iiLRDRT1CRj0z77yMQkU9RkE9Mu+8jDxicj7nlLHli77ogqHlrprnkIblvpfvvJpBQj1CQz08aW1nIHdpZHRoPTYyIGhlaWdodD00MiBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzlFLzhFL3JCQUNFMU9WYkEzRDVwMEJBQUFCNjFUT3lwMDk0OC5wbmciPj08aW1nIHdpZHRoPTI2IGhlaWdodD0yMSBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzYyLzc4L3JCQUNGRk9WYkEzUTN3NUlBQUFCa1J6ZXJzSTU5MS5wbmciPu+8jDxicj7iiLTilrNBQkPpnaLnp6/kuLo8aW1nIHdpZHRoPTkgaGVpZ2h0PTQyIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvNjIvNzgvckJBQ0ZGT1ZiQTNCMTRFUEFBQUJNbjdTOHFRNzExLnBuZyI+QkPDl0FDPTxpbWcgd2lkdGg9OSBoZWlnaHQ9NDIgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC82Mi83OC9yQkFDRkZPVmJBM0IxNEVQQUFBQk1uN1M4cVE3MTEucG5nIj7DlzxpbWcgd2lkdGg9MjYgaGVpZ2h0PTIxIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvNjIvNzgvckJBQ0ZGT1ZiQTNRM3c1SUFBQUJrUnplcnNJNTkxLnBuZyI+w5c8aW1nIHdpZHRoPTI2IGhlaWdodD0yMSBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzYyLzc4L3JCQUNGRk9WYkEzUTN3NUlBQUFCa1J6ZXJzSTU5MS5wbmciPj02LjXvvIw8YnI+5pWF6YCJQy4g

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5/5单选题

难度：

如图，M是△ABC的边BC的中点，AN平分∠BAC，BN⊥AN于点N，且AB=10，BC=15，MN=3，则△ABC的周长是（　　）

A	38
B	39
C	40
D	41

提示1：: PHA+5Y+v5Lul5bu26ZW/Qk7kuqRBQ+S6jueCuUTvvIzmmJPor4HlvpdSdOKWs0FOQuKJjFJ04pazQU5E77yM5Y+v5b6XTuS4ukJE55qE5Lit54K577yb55Sx5bey55+lTeaYr0JD55qE5Lit54K55Y+v5b6XTU7mmK/ilrNCQ0TnmoTkuK3kvY3nur/vvIzlj6/lvpdDROeahOmVv++8jOaNrkFDPUFEK0NE5Y+v5b6XQUPnmoTplb/vvIzljbPlj6/lvpfilrNBQkPnmoTlkajplb88L3A+

正确答案：RA==

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