配套习题- 如何利用角平分线性质解决计算问题 -【青果学院】

挑战习题

1/5单选题

难度：

如图，△ABC中，∠B，∠C的角平分线相交于点O，过O作DE∥BC，若BD+CE=14，则DE的长等于（　　）

A	8
B	6
C	14
D	10

提示1：: PHA+5qC55o2u4oigQu+8jOKIoEPnmoTlubPliIbnur/nm7jkuqTkuo7ngrlP77yM5Y+v5b6X5Ye64oigT0JEPeKIoE9CQ++8jOKIoE9DRT3iiKBPQ0I8L3A+

提示2：: PHA+55SxREXiiKVCQ++8jOW+l+WHuuKIoERPQj3iiKBPQkPvvIziiKBFT0M94oigT0NC77yM5LuO6ICM5b6X5Ye64oigT0JEPeKIoERPQu+8jOKIoEVPQz3iiKBFQ0/vvIzliJlPRD1CRO+8jE9FPUNF77yM5LuO6ICM5b6X5Ye6REU9QkQrRUM8L3A+

正确答案：Qw==

PGRpdj7op6PvvJriiLXiiKBC77yM4oigQ+eahOW5s+WIhue6v+ebuOS6pOS6jueCuU/vvIw8YnI+4oi04oigT0JEPeKIoE9CQ++8jOKIoE9DRT3iiKBPQ0LvvIw8YnI+4oi1REXiiKVCQ++8jDxicj7iiLTiiKBET0I94oigT0JD77yM4oigRU9DPeKIoE9DQu+8jDxicj7iiLTiiKBPQkQ94oigRE9C77yM4oigRU9DPeKIoEVDT++8jDxicj7iiLRPRD1CRO+8jE9FPUNF77yMPGJyPuKItERFPU9EK09FPUJEK0VD77yMPGJyPuKItUJEK0VDPTE077yMPGJyPuKItERFPTE0Ljxicj7mlYXpgInvvJpDLjwvZGl2Pg==

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2/5单选题

难度：

如图，△ABC中，∠C=90°，AC=BC，BD是角平分线，DE⊥AB，E为垂足，若△ADE的周长等于10cm，则AB的长是（　　）

A	8
B	9
C	10
D	20

提示1：: PHA+6KaB5rGCQULnmoTplb/vvIzlsLHopoHliKnnlKjlt7Lnn6XnmoTilrNBREXnmoTlkajplb/nrYnkuo4xMGNt77yM5p2l5oqK5pyq55+l55qE6L2s5YyW5oiQ5bey55+l55qE5p2l6K6h566XLjwvcD4=

正确答案：Qw==

PGRpdj7op6PvvJriiLVCROaYr+KIoEJBQ+eahOW5s+WIhue6v++8jERF4oqlQULvvIziiKBDPTkwwrDvvIw8YnI+5piT5b6X4pazQkNE4omM4pazQkVE77yMPGJyPuKItENEPURF77yMQkU9QkPvvIw8YnI+4oi04pazQURF55qE5ZGo6ZW/PURFK0FFK0FE77yMPGJyPj1DRCtBRCtBRe+8jDxicj49QUMrQUXvvIw8YnI+PUJDK0FF77yMPGJyPj1CRStFQe+8jDxicj49QULvvIw8YnI+PTEwY20uPGJyPuaVhemAiUMuPC9kaXY+

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3/5单选题

难度：

如图，△ABC的三边AB、BC、AC的长分别为20、30、40，其三条角平分线将△ABC分成三个三角形，则S_△_OAB：S_△_OBC：S_△_OAC=（　　）

A	1：1：1
B	6：4：3
C	2：3：4
D	4：3：2

提示1：: PHA+6KeS5bmz5YiG57q/5LiK55qE54K5T+WIsOS4iei+uei3neemu+ebuOetiTwvcD4=

提示2：: PHA+6Z2i56ev5q+U5bCx5piv5bqV6L6555qE5q+UPC9wPg==

正确答案：Qw==

PGRpdj7op6PvvJriiLVP5piv5LiJ5p2h6KeS5bmz5YiG57q/55qE5Lqk54K5PC9kaXY+PGRpdj7iiLRP5Yiw5LiJ6L6555qE6Led56a755u4562JPC9kaXY+PGRpdj7iiLTkuInkuKrkuInop5LlvaLpnaLnp6/nmoTmr5TlsLHmmK/kuInovrnnmoTmr5Q8L2Rpdj48ZGl2PuKItOmAiUM8L2Rpdj4=

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4/5单选题

难度：

如图，BD是△ABC的外角∠ABP的角平分线，DA=DC，DE⊥BP于点E，若AB=5，BC=3，则BE的长为（　　）

A	2
B	1.5
C	1
D	0.5

提示1：: PHA+6L+H54K5ROS9nERG4oqlQULkuo5G77yM5qC55o2u6KeS5bmz5YiG57q/5LiK55qE54K55Yiw6KeS55qE5Lik6L6555qE6Led56a755u4562J5Y+v5b6XREU9REY8L3A+PHA+PGltZyBzdHlsZT0id2lkdGg6IDI3M3B4OyBoZWlnaHQ6IDEzMnB4OyIgYWx0PSIiIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvMDQvMjQvckJBQ0ZGTU80dU9qZUVfSEFBQWlEUnY2TXJJMDg0LnBuZyIgc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC8wNC8yNC9yQkFDRkZNTzR1T2plRV9IQUFBaURSdjZNckkwODQucG5nIj7igIs8YnI+PC9wPg==

提示2：: PHA+5YaN5Yip55So4oCcSEzigJ3or4HmmI7ilrNCREXlkozilrNCREblhajnrYnvvIzilrNBREblkozilrNDREXlhajnrYnvvIzmoLnmja7lhajnrYnkuInop5LlvaLlr7nlupTovrnnm7jnrYnlj6/lvpdCRT1CRu+8jEFGPUNFPC9wPg==

提示3：: PHA+5YaN55SoQULjgIFCQ+ihqOekuuWHukFG44CBQ0XvvIzmlbTnkIbljbPlj6/op6Plvpc8L3A+

正确答案：Qw==

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5/5单选题

难度：

如图，已知四边形ABCD中，AD∥BC，若∠DAB的平分线AE交CD于E，连接BE，且BE恰好平分∠ABC，则AB的长与AD+BC的大小关系是（　　）

A	AB＞AD+BC
B	AB＜AD+BC
C	AB=AD+BC
D	无法确定

提示1：: PHA+55Sx5LqOQULkuI5BROOAgeS4jkJD5LmL6Ze05rKh5pyJ5LuA5LmI55u05o6l55qE6IGU57O777yM5omA5Lul5b+F6aG76YCa6L+H5L2c6L6F5Yqp57q/5bu656uLQULkuI5BROOAgUJD5LmL6Ze055qE6IGU57O777yM6L+b6ICM5pa55Y+v5rGC6KejLjwvcD4=

提示2：: PHA+5bu26ZW/QUXkuqRCQ+W7tumVv+e6v+S6jkbvvIzor4HilrNBREXiiYzilrNGQ0U8L3A+PHA+PGltZyBoZWlnaHQ9IjEzOCIgd2lkdGg9IjE3MCIgZGF0YS1ja2Utc2F2ZWQtc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC8yMy9FMi9yQkFDRTFNTWdqS3l0cjlJQUFBVmpXUUtQU0UwNTkucG5nIiBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzIzL0UyL3JCQUNFMU1NZ2pLeXRyOUlBQUFWaldRS1BTRTA1OS5wbmciPuKAizwvcD4=

正确答案：Qw==

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