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【323443】2023九年级数学上册 第24章 解直角三角形课后练习二(含解析)(新版)华东师大版

时间:2025-01-16 18:34:49 作者: 字数:1953字
简介:


解直角三角形

金题精讲

题一:

题面:如图,在△ABC中,∠ACB=90°BC=4AC=5CDAB,则sin∠ACD的值是 tan∠BCD的值是  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a> .

 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a>




题二:

题面: <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a> 已知如图,△ABC中,ADBCDAC=BD=5tan∠CAD= <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a> ,求AB的值.

 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a>



满分冲刺

题一:

题面:如图,在△ABC中,∠A=135°AB=20AC=30,求△ABC的面积.

 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a>




题二:

题面:如图,已知ADRt△ABC斜边BC上的高,且AB=6BC=10.则AC= 8 sina= .

 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a>







题三:

题面:如图,在△ABC中,∠A=30°,∠B=45° <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a> AC= <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a> ,求AB的长.

 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a>












课后练习详解

金题精讲

题一:

答案: <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a> ; <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a>

详解:∵△ABC中,∠ACB=90°BC=4AC=5CDAB
AB= <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a>

Rt△ABCRt△A <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a> CD中,∠A+∠B=90°,∠A+∠ACD=90°,∠ADC=∠ACB=90°
∴∠
B=∠ACD
Rt△ABC∽Rt△ACD,∠BCD=∠A
sin∠ACD=sin∠B= <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a> = <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a>

tan∠ <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a> BCD=tan∠A= <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a> = <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a>

题二:

答案: <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a>

详解:∵ADBC
ADC
Rt△,又在Rt△ADC
ta <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a> n∠CAD
 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a>
CD=xAD=2x
由:CD2+AD2=AC2
x2+4x2=25

x
0∴x= <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a> ,
Rt△ADB
AB= <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a> = <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a>
 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a>
AB长为 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a>


满分冲刺

 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a> 一:

答案: <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a>

详解 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a> :过点BBEAC

∵∠A=135°

∴∠BAE=180°A=180°135°=45°

∴∠ABE=90°BAE=90°45°=45°

Rt△BAE中,

AB=20

BE= <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a>

AC=30

SABC= <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a> ACBE= <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a> ×30× <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a> = <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a>

 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a>

题二:

答案:8 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a> .

详解:在Rt△ABC中,AC= <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a> =8

AB2=BDBC
BD=3.6
CD=6.4
Rt△ACD中,sina= <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a> = <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a>

题三:

答案:3+ <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a> .

详解:过点CCDABD

Rt△ACD <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a> ,∠A=30°AC <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a>

CD=AC×si <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a> nA= <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a> AD=AC×cosA= <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a> .

Rt△BCD中,∠B=45°,则BD=CD= <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a> ,∴AB=AD+BD=3+ <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a> .

 <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a>  <a href="/tags/48/" title="练习" class="c1" target="_blank">练习</a> <a href="/tags/55/" title="数学" class="c1" target="_blank">数学</a> <a href="/tags/180/" title="直角" class="c1" target="_blank">直角</a> <a href="/tags/387/" title="三角形" class="c1" target="_blank">三角形</a> <a href="/tags/848/" title="华东" class="c1" target="_blank">华东</a> <a href="/tags/913/" title="直角三角形" class="c1" target="_blank">直角三角形</a>


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