∵AD=BD
∴設(shè)∠BAD=∠DBA=x°,
∵AB=AC=CD
∴∠CAD=∠CDA=∠BAD+∠DBA=2x°,∠DBA=∠C=x°,
∴∠BAC=3∠DBA=3x°,
∵∠ABC+∠BAC+∠C=180°
∴5x=180°,
∴∠DBA=36°
∴∠BAC=3∠DBA=108°.
如圖,在△ABC中,D是BC邊上一點AD=BD,AB=AC=CD,求∠BAC的度數(shù).
如圖,在△ABC中,D是BC邊上一點AD=BD,AB=AC=CD,求∠BAC的度數(shù).
![](http://hiphotos.baidu.com/zhidao/pic/item/aa18972bd40735fa390e7b0b9d510fb30e240881.jpg)
![](http://hiphotos.baidu.com/zhidao/pic/item/aa18972bd40735fa390e7b0b9d510fb30e240881.jpg)
數(shù)學(xué)人氣:138 ℃時間:2020-06-05 20:06:07
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