本课配套习题挑战模式1/5
如图,在菱形ABCD中,∠BAD=80°,AB的垂直平分线交对角线AC于点F,点E为垂足,连接DF,则∠CDF为()
A: 80° |
B: 70° |
C: 65° |
D: 60° |
- 提示1:PHA+6L+e5o6lQkY8L3A+
- 提示2:PHA+5Yip55SoU0FT5Yik5a6a4pazQkNG4omM4pazRENG77yM5LuO6ICM5b6X5Yiw4oigQ0JGPeKIoENERu+8jDwvcD4=
- 提示3:PHA+5qC55o2u5bey55+l5Y+v5rGC5b6X4oigQ0JG55qE5bqm5pWw77yM5YiZ4oigQ0RG5Lmf5Y+v5rGCPC9wPg==
- 答案:RA==
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
本课配套习题挑战模式2/5
在菱形ABCD中,对角线AC、BD相交于点O,AB=5,AC=6,过点D作AC的平行线交BC的延长线于点E,则△BDE的面积为()
A: 22 |
B: 24 |
C: 48 |
D: 44 |
- 提示1:PHA+5Yik5pat5Ye65Zub6L655b2iQUNFROaYr+W5s+ihjOWbm+i+ueW9ou+8jOS7juiAjOW+l+WHukRF55qE6ZW/5bqmOzwvcD4=
- 提示2:PHA+5qC55o2u6I+x5b2i55qE5oCn6LSo5rGC5Ye6QkTnmoTplb/luqbvvJs8L3A+
- 提示3:PHA+5Yip55So5Yu+6IKh5a6a55CG55qE6YCG5a6a55CG5Y+v5b6X5Ye64pazQkRF5piv55u06KeS5LiJ6KeS5b2iPC9wPg==
- 答案:Qg==
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
本课配套习题挑战模式3/5
如图,菱形ABCD中,∠B=60°,AB=2cm,E、F分别是BC、CD的中点,连接AE、EF、AF,则△AEF的周长为()
A: |
B: |
C: |
D: |
- 提示1:PHA+5qC55o2u6I+x5b2i55qE5oCn6LSo6K+B5piO4pazQUJF4omM4pazQURGOzwvcD4=
- 提示2:PHA+6L+e5o6lQUPlj6/mjqjlh7rilrNBQkPku6Xlj4rilrNBQ0TkuLrnrYnovrnkuInop5LlvaI7PC9wPg==
- 提示3:PHA+5qC55o2u562J6IWw5LiJ6KeS5b2i5LiJ57q/5ZCI5LiA55qE5a6a55CG5Y+I5Y+v5o6o5Ye64pazQUVG5piv562J6L655LiJ6KeS5b2iLjwvcD4=
- 答案:Qg==
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
本课配套习题挑战模式4/5
A: 1 |
B: 2 |
C: 3 |
D: 4 |
- 提示1:IOagueaNruiPseW9oueahOWbm+adoei+uemDveebuOetie+8jOWFiOWIpOWumuKWs0FCROaYr+etiei+ueS4ieinkuW9ou+8jOWGjeagueaNruiPseW9oueahOaAp+i0qOWPr+W+l+KIoEJERj3iiKBDPTYwwrDvvIzlho3msYLlh7pERj1DRe+8mw==
- 提示2:IOagueaNruWFqOetieS4ieinkuW9ouWvueW6lOinkuebuOetieWPr+W+l+KIoERCRj3iiKBFREPvvIznhLblkI7liKnnlKjkuInop5LlvaLnmoTkuIDkuKrlpJbop5LnrYnkuo7kuI7lroPkuI3nm7jpgrvnmoTkuKTkuKrlhoXop5LnmoTlkozlj6/ku6XmsYLlh7riiKBETUY94oigQkRDPTYwwrDvvJs=
- 提示3:IOagueaNruS4ieinkuW9oueahOS4gOS4quWkluinkuetieS6juS4juWug+S4jeebuOmCu+eahOS4pOS4quWGheinkueahOWSjOS7peWPiuW5s+ihjOe6v+eahOaAp+i0qOaxguWHuuKIoEFCTT3iiKBBREjjgII=
- 答案:Qw==
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
本课配套习题挑战模式5/5
如图,在平面直角坐标系中,菱形ABCD的四个顶点均在坐标轴上,A(0,2),∠ABC=60°. 把一条长为2013个单位长度且没有弹性的细线(线的 粗细忽略不计)的一端固定在点A处,并按A-B-C-D-A-…的规律紧绕在菱形ABCD的边上,则细线另一端所在位置的点的坐标是( )
A: |
B: |
C: |
D: |
- 提示1:PHA+5qC55o2uQeeahOWdkOagh+WSjOKIoEFCQz02MMKw77yM5rGC5Ye66I+x5b2i55qE6L656ZW/5ZKM5ZGo6ZW/77ybPC9wPg==
- 提示2:PHA+5rGC5Ye65Y+m5LiA56uv5piv57uV56ys5Yeg5ZyI5ZCO55qE56ys5Yeg5Liq5Y2V5L2N6ZW/5bqm77ybPC9wPg==
- 提示3:PHA+5rGC5Ye655u057q/55qE6Kej5p6Q5byPPC9wPg==
- 答案:Qw==
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