XY is the perpendicular bisector of PQ and XY // QR
(a) prove that △PXY~△ PQR
(b) prove that QY is a median of△ PQR
Triangle (f3 maths)?
回答 (1)
2016-12-11 12:37 pm
XY is the perpendicular bisector of PQ and XY // QR
(a) prove that △PXY~△ PQR
Sol
在△PXY與△ PQR中
∠XPY= ∠QPR
∠PXY=∠PQR (XY//QR)
So
△PXY~△ PQR (AA)
(b) prove that QY is a median of△ PQR
PX：PQ=PY：PR
PX：2PX=PY：PR
PY：PY=1：2
PY=YR
QY為△ PQR之一中線
(a) prove that △PXY~△ PQR
Sol
在△PXY與△ PQR中
∠XPY= ∠QPR
∠PXY=∠PQR (XY//QR)
So
△PXY~△ PQR (AA)
(b) prove that QY is a median of△ PQR
PX：PQ=PY：PR
PX：2PX=PY：PR
PY：PY=1：2
PY=YR
QY為△ PQR之一中線
收錄日期: 2021-04-30 21:58:00
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20161211030802AA9Xc2y