题目内容
如图,△ABC中,在AC上取一点N,使得AN=
AC,在AB上取一点M,使得AM=
AB,在BN的延长线上取点P,使得NP=
BN,在CM的延长线上取点Q,使得
=λ
时,
=
,试确定λ的值.
![]()
λ=
.
【解析】∵
=
-
=
(
-
)
=
(
+
)=![]()
,
=
-
=
+λ
,
又∵
=
,∴
+λ
=
,
即λ
=
,∴λ=
.
练习册系列答案
相关题目
题目内容
如图,△ABC中,在AC上取一点N,使得AN=
AC,在AB上取一点M,使得AM=
AB,在BN的延长线上取点P,使得NP=
BN,在CM的延长线上取点Q,使得
=λ
时,
=
,试确定λ的值.
![]()
λ=
.
【解析】∵
=
-
=
(
-
)
=
(
+
)=![]()
,
=
-
=
+λ
,
又∵
=
,∴
+λ
=
,
即λ
=
,∴λ=
.