题目内容
已知在△ABC中,∠C=90°,∠A、∠B、∠C所对边的长分别为a、b、c,则tanA的值是( )A.
![](http://thumb.zyjl.cn/pic6/res/czsx/web/STSource/20131103201600974623836/SYS201311032016009746238000_ST/0.png)
B.
![](http://thumb.zyjl.cn/pic6/res/czsx/web/STSource/20131103201600974623836/SYS201311032016009746238000_ST/1.png)
C.
![](http://thumb.zyjl.cn/pic6/res/czsx/web/STSource/20131103201600974623836/SYS201311032016009746238000_ST/2.png)
D.
![](http://thumb.zyjl.cn/pic6/res/czsx/web/STSource/20131103201600974623836/SYS201311032016009746238000_ST/3.png)
【答案】分析:根据题意画出图形,再根据tanA=
解答即可.
解答:
解:如图所示:Rt△ABC中,∠C=90°,AB=c,AC=b,BC=a,
tanA=
=
.
故选B.
点评:本题考查锐角三角函数的定义及运用:在直角三角形中,锐角的正弦为对边比斜边,余弦为邻边比斜边,正切为对边比邻边.
![](http://thumb.zyjl.cn/pic6/res/czsx/web/STSource/20131103201600974623836/SYS201311032016009746238000_DA/0.png)
解答:
![](http://thumb.zyjl.cn/pic6/res/czsx/web/STSource/20131103201600974623836/SYS201311032016009746238000_DA/images1.png)
tanA=
![](http://thumb.zyjl.cn/pic6/res/czsx/web/STSource/20131103201600974623836/SYS201311032016009746238000_DA/1.png)
![](http://thumb.zyjl.cn/pic6/res/czsx/web/STSource/20131103201600974623836/SYS201311032016009746238000_DA/2.png)
故选B.
点评:本题考查锐角三角函数的定义及运用:在直角三角形中,锐角的正弦为对边比斜边,余弦为邻边比斜边,正切为对边比邻边.
![](http://thumb.zyjl.cn/images/loading.gif)
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