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4811,在△ABC的三邊BC,CA,AB上分別取一點D、E、F,其中AD,BE,CF交於點P,
3
2
說明
若BP:PE = 2:1且AE:EC=3:7,則下列選項中的敘述哪些是正確的?
2
(1) AP
=
· AB + ½ ÃÈ AÌ = ½³ AB +½³½Ã¯
3
AP = - AB+ 3X SAC
5.
+
(2) AD
+
AD=
ABt
+
19
=
8
3 AC
•AB+-AC
8
(3) PA = PD PA²= - PD
PA=PD PPD
7
(4)AF:FB=5:7
忙_
CP = ½ + ½ CE = ½ C B + 1 CA - G≤t CB = c + CA
3
(5)△PAB面積:△PBC面積:APCA面積=3:57.
15 AP
15
S
,
=
(脑+戚)→15AP=SAō+3AC.225.7
-SAR - 3A6
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