题目
题型:不详难度:来源:
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112031-45965.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112031-18291.jpg)
(1) 求证:AC=BD;
(2)若
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112031-19114.png)
答案
解析
∴∠ADB=90°,∠ADC=90°. …………………………………………1分
在Rt△ABD和Rt△ADC中,
∵
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112032-27034.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112032-69249.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112032-92914.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112032-93325.png)
又已知
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112031-45965.png)
∴
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112032-69249.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112032-93325.png)
(2)在Rt△ADC中,
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112031-19114.png)
∴CD=
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112032-48334.png)
∵BC=BD+CD,又AC=BD,
∴BC=13k+5k=18k ………………………………6分
由已知BC=12, ∴18k=12.∴k=
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112033-82141.png)
∴AD=12k=12
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112033-94844.png)
(1)在直角三角形中,表示
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112033-98329.png)
(2)利用
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112031-19114.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112033-73588.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112034-72006.png)
核心考点
举一反三
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112022-88252.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112022-86630.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112023-46159.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112023-17425.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112023-84873.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112023-70516.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112024-95761.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112024-29201.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112024-60388.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112024-62299.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112025-93492.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112025-92003.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112025-43268.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112026-29090.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112011-51552.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112011-52669.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112011-51552.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112012-85343.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112012-59845.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112012-79822.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112012-59845.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112012-69455.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112013-36583.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112012-69455.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112011-51552.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112013-40161.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112007-14844.png)
A.6(![]() | B.6 (![]() |
C.12 (![]() | D.12(![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104111959-17746.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112000-70361.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112000-25060.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112000-65051.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112000-28176.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112001-55937.png)
A.![]() | B.![]() | C.![]() | D.![]() |
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104112002-58881.png)
![](http://img.shitiku.com.cn/uploads/allimg/20191104/20191104111956-18728.png)
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