题目内容
已知a=3
,c=2,B=150°,求边b的长及S△。
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823135237285225.gif)
b=7,S△=![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823135237301228.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823135237285225.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823135237301228.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823135237285225.gif)
b2=a2+c2-2accosB ------------------4分
=(3
)2+22-2·3
·2·(-
)=49.----6分
∴ b=7,----------------------------------7分
S△=
acsinB ----------------------11分
=
×3
×2×
=![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823135237301228.gif)
. ----------13分
=(3
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823135237285225.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823135237285225.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823135237363270.gif)
∴ b=7,----------------------------------7分
S△=
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823135237379225.gif)
=
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823135237379225.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823135237285225.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823135237379225.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823135237301228.gif)
![](http://thumb.zyjl.cn/pic2/upload/papers/20140823/20140823135237285225.gif)
![](http://thumb.zyjl.cn/images/loading.gif)
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