本课配套习题挑战模式1/5
已知P是△ABC内一点,连接PA、PB、PC,把△ABC的面积三等分,则P点一定是( )
A: △ABC的三边的中垂线的交点 |
B: △ABC的三条内角平分线的交点 |
C: △ABC的三条高的交点 |
D: △ABC的三条中线的交点 |
- 提示1:PHA+5qC55o2u5LiJ6KeS5b2i55qE6Z2i56ev5YWs5byP77yM55+l54K5QuWSjOeCuUPliLBBUOeahOi3neemu+ebuOetiTxicj48L3A+
- 提示2:PHA+5Yip55So5YWo562J5LiJ6KeS5b2i5bCx5Y+v6K+B5piOQVDnmoTlu7bplb/nur/lkoxCQ+eahOS6pOeCueWNs+S4ukJD55qE5Lit54K5PGJyPjwvcD4=
- 提示3:PHA+5ZCM55CG5Y+v6K+B5piOQlDjgIFDUOS5n+aYr+S4ieinkuW9oueahOS4ree6v+eahOS4gOmDqOWIhjxicj48L3A+
- 答案:RA==
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
本课配套习题挑战模式2/5
AD是△ABC的中线,AB=6cm,AC=4cm,则△ABD和△ACD的周长差为( )
A: 6cm |
B: 4cm |
C: 2cm |
D: 无法确定 |
- 提示1:PHA+5qC55o2u5LiJ6KeS5b2i5Lit57q/55qE562J5LqO5Y+v5b6XQkQ9Q0Q8YnI+PC9wPg==
- 提示2:PHA+5rGC5Ye64pazQUJE5ZKM4pazQUNE55qE5ZGo6ZW/5beuPUFCLUFDPGJyPjwvcD4=
- 提示3:PHA+5Luj5YWl5pWw5o2u6L+b6KGM6K6h566X5Y2z5Y+v5b6X6KejPGJyPjwvcD4=
- 答案:Qw==
PHAgYWxpZ249ImxlZnQiPuino++8muKItUFE5piv4pazQUJD55qE5Lit57q/77yMPGJyPuKItOKWs0FCROWSjOKWs0FDROeahOWRqOmVv+W3rj3vvIhBQitBRCtCRO+8iS3vvIhBQytBRCtDRO+8iT1BQi1BQ++8jDxicj7iiLVBQj02Y23vvIxBQz00Y23vvIw8YnI+4oi04pazQUJE5ZKM4pazQUNE55qE5ZGo6ZW/5beuPTYtND0yY23vvI48YnI+5pWF6YCJQ++8jjxicj48L3A+
本课配套习题挑战模式3/5
如图,已知△ABC中,AD是BC边上的中线,有以下结论:①AD平分∠BAC;②△ABD的周长-△ACD的周长=AB-AC;③BC=2AD;④△ABD的面积是△ABC面积的一半.其中正确的是( )
A: ①②④ |
B: ②③④ |
C: ②④ |
D: ③④ |
- 提示1: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
- 提示2:PHA+562J6auY55qE5LiJ6KeS5b2i55qE6Z2i56ev55qE5q+U562J5LqO5bqV6L6555qE5q+UPGJyPjwvcD4=
- 答案:Qw==
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
本课配套习题挑战模式4/5
如图所示,AD和BE是△ABC的两条中线,相交于点O,设△AOB和四边形CDOE的面积分别为S1、S2,则S1和S2的关系为( )
A: S2>S1 |
B: S2<S1 |
C: S2=S1 |
D: 以上答案都不对 |
- 提示1:PHA+5qC55o2u5LiJ6KeS5b2i5Lit57q/55qE5oCn6LSoPGJyPjwvcD4=
- 提示2:PHA+5Lit57q/5bmz5YiG6Z2i56evPGJyPjwvcD4=
- 提示3:PHA+5YiX5Ye6562J5byP5rGC6KejPGJyPjwvcD4=
- 答案:Qw==
PHAgYWxpZ249ImxlZnQiPuino++8muWmguWbvu+8jDxicj48L3A+PHAgYWxpZ249ImxlZnQiPjxpbWcgc3JjPSJodHRwczovL3AxLnFpbmdndW8uY29tL0cxL00wMC85OS9DOS9yQkFDRTFNNzZhenczUXlTQUFBWHZrLTZ0UEU2MzIucG5nIiBkYXRhLWNrZS1zYXZlZC1zcmM9Imh0dHBzOi8vcDEucWluZ2d1by5jb20vRzEvTTAwLzk5L0M5L3JCQUNFMU03NmF6dzNReVNBQUFYdmstNnRQRTYzMi5wbmciIGFsdD0iIiBzdHlsZT0id2lkdGg6IDE4M3B4OyBoZWlnaHQ6IDExNnB4OyI+PGJyPjwvcD48cCBhbGlnbj0ibGVmdCI+PGJyPuKItUFE5ZKMQkXmmK/ilrNBQkPnmoTkuKTmnaHkuK3nur/vvIw8YnI+4oi04pazQUJE6Z2i56evPeKWs0FDROmdouenr++8jOKWs0JDRemdouenrz3ilrNBQkXpnaLnp6/vvIw8YnI+5Y2zUzxzdWI+MTwvc3ViPitTPHN1Yj40PC9zdWI+PVM8c3ViPjI8L3N1Yj4rUzxzdWI+Mzwvc3ViPuKRoO+8jFM8c3ViPjI8L3N1Yj4rUzxzdWI+NDwvc3ViPj1TPHN1Yj4xPC9zdWI+K1M8c3ViPjM8L3N1Yj7ikaHvvIw8YnI+4pGgLeKRoeW+l++8mlM8c3ViPjE8L3N1Yj4tUzxzdWI+Mjwvc3ViPj1TPHN1Yj4yPC9zdWI+LVM8c3ViPjE8L3N1Yj7vvIw8YnI+4oi0UzxzdWI+MTwvc3ViPj1TPHN1Yj4yPC9zdWI+77yOPGJyPuaVhemAiUPvvI48YnI+PC9wPg==
本课配套习题挑战模式5/5
如图,在△ABC中,D为AC边的中点,E为BD中点,F为CE中点,若△ABD的面积为4,则△BFC的面积为()
A: 2 |
B: 1 |
C: 1.5 |
D: 0.5 |
- 提示1:PHA+5LiJ6KeS5b2i5bqV6L655Lit54K55bmz5YiG5LiJ6KeS5b2i6Z2i56evPC9wPg==
- 提示2:PHA+UzxzdWI+4pazQUJEPC9zdWI+PVM8c3ViPuKWs0JDRDwvc3ViPu+8jFM8c3ViPuKWs0RDRTwvc3ViPj1TPHN1Yj7ilrNCQ0U8L3N1Yj7vvIxTPHN1Yj7ilrNCRUY8L3N1Yj49UzxzdWI+4pazQkNGPC9zdWI+PC9wPg==
- 提示3:PHA+UzxzdWI+4pazQUJEPC9zdWI+PTTvvIzljbPlj6/msYLlh7rnrZTmoYg8L3A+
- 答案:Qg==
PHA+6Kej77ya5LiJ6KeS5b2i5bqV6L655Lit54K55bmz5YiG5LiJ6KeS5b2i6Z2i56ev55+l77yaUzxzdWI+4pazQUJEPC9zdWI+PVM8c3ViPuKWs0JDRDwvc3ViPu+8jFM8c3ViPuKWs0RDRTwvc3ViPj1TPHN1Yj7ilrNCQ0U8L3N1Yj7vvIxTPHN1Yj7ilrNCRUY8L3N1Yj49UzxzdWI+4pazQkNGPC9zdWI+77yMPGJyPuWPiFM8c3ViPuKWs0FCRDwvc3ViPj0077yM6K6+UzxzdWI+4pazQkNGPC9zdWI+5Li6eO+8jCZuYnNwOzxicj7liJnmnIl4K3grMng9NO+8jDxicj7op6PlvpfvvJp4PTE8YnI+5Y2zUzxzdWI+4pazQkNGPC9zdWI+PTE8YnI+5pWF6YCJQjwvcD4=