本课配套习题挑战模式1/5
如图,在四边形ABCD中,P是对角线BD的中点,E,F分别是AB,CD的中点,AD=BC,∠PEF=18°,则∠PFE的度数是 ( )度.
A: 18° |
B: 36° |
C: 30° |
D: 45° |
- 提示1: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
- 提示2:PHA+5qC55o2uQkM9QUTvvIzlj6/lvpfilrNQRUbkuLrnrYnohbDkuInop5LlvaLvvJs8L3A+
- 提示3:PHA+5qC55o2u562J6IWw5LiJ6KeS5b2i55qE5oCn6LSo5Y+v5rGC4oigUEZF44CCPC9wPg==
- 答案:QQ==
PGRpdj7op6PvvJriiLXlnKjlm5vovrnlvaJBQkNE5Lit77yMUOaYr+Wvueinkue6v0JE55qE5Lit54K577yMRe+8jEbliIbliKvmmK9BQu+8jENE55qE5Lit54K577yMPGJyPuKItEZQ77yMUEXliIbliKvmmK/ilrNDRELkuI7ilrNEQULnmoTkuK3kvY3nur/vvIw8L2Rpdj48ZGl2PuKItFBGPGltZyBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzAwLzUzL3JCQUNGRk1NVVdTQkQyYlpBQUFCTjJvYktURTM3OS5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvMDAvNTMvckJBQ0ZGTU1VV1NCRDJiWkFBQUJOMm9iS1RFMzc5LnBuZyIgaGVpZ2h0PSI0MiIgd2lkdGg9IjI3Ij5CQywgUEU8aW1nIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvMDAvNTMvckJBQ0ZGTU1VV1NCRDJiWkFBQUJOMm9iS1RFMzc5LnBuZyIgZGF0YS1ja2Utc2F2ZWQtc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC8wMC81My9yQkFDRkZNTVVXU0JEMmJaQUFBQk4yb2JLVEUzNzkucG5nIiBoZWlnaHQ9IjQyIiB3aWR0aD0iMjciPkFE77yMPC9kaXY+PGRpdj7iiLVBRD1CQ++8jDxicj7iiLRQRj1QRe+8jDxicj7mlYXilrNFUEbmmK/nrYnohbDkuInop5LlvaIuPGJyPuKIteKIoFBFRj0xOMKw77yMPGJyPuKItOKIoFBFRj3iiKBQRkU9MTjCsC48YnI+5pWF562U5qGI5Li6QTwvZGl2Pg==
本课配套习题挑战模式2/5
如图:在△ABC中,M是BC的中点;AP是∠A的平分线,BP⊥AP于P,AB=10,AC=12,则PM的长是( )
A: 3 |
B: 4 |
C: 2 |
D: 1 |
- 提示1:PHA+5bu26ZW/QlDkuqRBQ+S6jk7vvIzliKnnlKjop5Lovrnop5LlrprnkIbmsYLor4HilrNBQlDiiYzilrNBTlDvvJs8L3A+
- 提示2:PHA+5YaN5Yip55SoTeaYr0JD5Lit54K577yM5rGC6K+BUE3mmK/ilrNCTkPnmoTkuK3kvY3nur/vvJs8L3A+
- 提示3:PHA+5Yip55So5Lit5L2N57q/55qE5oCn6LSo5rGCUE3nmoTplb/jgII8L3A+
- 答案:RA==
PGRpdj7op6PvvJrlu7bplb9CUOS6pEFD5LqOTu+8jDwvZGl2PjxkaXY+PGltZyBzcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzIzLzQxL3JCQUNFMU1NVVdlVFJ3UDRBQUFVOFFYbGRsTTc4OS5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMS5xaW5nZ3VvLmNvbS9HMS9NMDAvMjMvNDEvckJBQ0UxTU1VV2VUUndQNEFBQVU4UVhsZGxNNzg5LnBuZyIgYWx0PSLpnZLmnpzlrabpmaIiIGhlaWdodD0iMTQ3IiB3aWR0aD0iMTEyIj48L2Rpdj48ZGl2PuKItUFQ5piv4oigQkFD55qE6KeS5bmz5YiG57q/77yMQlDiiqVBUOS6jlDvvIw8L2Rpdj48ZGl2PuKItOKIoEJBUD3iiKBOQVDvvIziiKBBUEI94oigQVBOPTkwwrDvvIw8L2Rpdj48ZGl2PuWcqOKWs0FCUOWSjOKWs0FOUOS4re+8jDxpbWcgc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC8yMy80MS9yQkFDRTFNTVVXZlEzWndnQUFBRDhYeVEwUGM5MDIucG5nIiBkYXRhLWNrZS1zYXZlZC1zcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzIzLzQxL3JCQUNFMU1NVVdmUTNad2dBQUFEOFh5UTBQYzkwMi5wbmciIGhlaWdodD0iODMiIHdpZHRoPSIxMDIiPjwvZGl2PjxkaXY+4oi04pazQUJQ4omM4pazQU5Q77yIQVNB77yJ77yMPC9kaXY+PGRpdj7iiLRBTj1BQj0xMO+8jEJQPVBO77yMPC9kaXY+PGRpdj7iiLRDTj1BQy1BTj0xMi0xMD0y77yMPC9kaXY+PGRpdj7iiLVCUD1QTu+8jEJNPUNN77yMPC9kaXY+PGRpdj7iiLRQTeaYr+KWs0JOQ+eahOS4reS9jee6v++8jDwvZGl2PjxkaXY+4oi0UE08aW1nIHNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvMDAvNTMvckJBQ0ZGTU1VV1NCRDJiWkFBQUJOMm9iS1RFMzc5LnBuZyIgZGF0YS1ja2Utc2F2ZWQtc3JjPSJodHRwczovL3AyLnFpbmdndW8uY29tL0cxL00wMC8wMC81My9yQkFDRkZNTVVXU0JEMmJaQUFBQk4yb2JLVEUzNzkucG5nIiBoZWlnaHQ9IjQyIiB3aWR0aD0iMjciPkNOPTEuPC9kaXY+PGRpdj7mlYXpgIlELjwvZGl2Pg==
本课配套习题挑战模式3/5
如图,在△ABC中,E是中线AD的中点,则AF:FC=( )
A: 1:2 |
B: 1:3 |
C: 2:3 |
D: 2:5 |
- 提示1:PHA+5qC55o2u5LiJ6KeS5b2i55qE5Lit5L2N57q/5a6a55CGLCDlnKhGQ+WPluS4gOeCuUfvvIzkvb9GRz1HQzs8L3A+
- 提示2:PHA+5Zyo4pazQURH5Lit5ZKM4pazQkNG5Lit6L+Q55So5Lit5L2N57q/5a6a55CG77yM5Y2z5Y+v5rGC5b6XQUY9Rkc9R0MuPC9wPg==
- 答案:QQ==
PGRpdj7op6PvvJrlpoLlm77vvIzlnKhGQ+WPluS4gOeCuUfvvIzkvb9GRz1HQ++8jDxicj7iiLVE5Li6QkPnmoTkuK3ngrnvvIxCRuKIpURH77yMPGJyPuKItERHPGltZyBzcmM9Imh0dHBzOi8vcDIucWluZ2d1by5jb20vRzEvTTAwLzAwLzUzL3JCQUNGRk1NVVdTQkQyYlpBQUFCTjJvYktURTM3OS5wbmciIGRhdGEtY2tlLXNhdmVkLXNyYz0iaHR0cHM6Ly9wMi5xaW5nZ3VvLmNvbS9HMS9NMDAvMDAvNTMvckJBQ0ZGTU1VV1NCRDJiWkFBQUJOMm9iS1RFMzc5LnBuZyIgaGVpZ2h0PSI0MiIgd2lkdGg9IjI3Ij5CRu+8jDxicj7lj4jiiLVF5pivQUTnmoTkuK3ngrnvvIxCRuKIpURH77yMPGJyPuKItEVG5piv4pazQURH55qE5Lit5L2N57q/77yMPGJyPuKItEbmmK9BR+eahOS4reeCue+8jDxicj7iiLRBRj1GRz1HQzxicj7iiLRBRu+8mkZDPTHvvJoyPGJyPuaVhemAiUEuPC9kaXY+
本课配套习题挑战模式4/5
如图,在四边形ABCD中,AB=CD,AB与CD不平行,M,N分别是AD,BC的中点. 则AB与MN的大小关系是()
A: AB>MN |
B: AB=MN |
C: AB<M |
D: AB≤MN |
- 提示1:PHA+6K6+QkTnmoTkuK3ngrnmmK9F77yM6L+e5o6lTUXvvIxORe+8mzwvcD4=
- 提示2: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
- 提示3:PHA+57uT5ZCIQUI9Q0TvvIxBQuS4jkNE5LiN5bmz6KGM77yM55+lTUUrTkU9QULvvIxN77yMTu+8jEXkuInngrnkuI3lhbHnur/vvIzku47ogIzmoLnmja7kuInop5LlvaLnmoTkuInovrnlhbPns7vor4HmmI7nu5PorrouPC9wPg==
- 答案:QQ==
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
本课配套习题挑战模式5/5
如图∠A=∠ABC=∠C=45°,E、F分别是AB、BC的中点,则下列结论,①EF⊥BD,②EFBD,③∠ADC=∠BEF+∠BFE,④AD=DC,其中正确的是( )
A: ①②③④ |
B: ①②③ |
C: ①②④ |
D: ②③④ |
- 提示1:PHA+6L+e5o6lQUPvvIzlu7bplb9CROS6pEFD5LqO54K5Te+8jOW7tumVv0FE5LqkQkPkuo5R77yM5bu26ZW/Q0TkuqRBQuS6jlDvvJs8L3A+
- 提示2:PHA+5Yip55So5Lit5L2N57q/5a6a55CG5Y+v5b6X4pGg5q2j56Gu77ybPC9wPg==
- 提示3:PHA+5Yip55So4pazQVFD4omM4pazQlFE5Y+v5b6X5YW25LuW562U5qGIPC9wPg==
- 答案:Qg==
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