AB=AC∠cbd=30°∠bcd=20°-搜答案-智慧作业帮

角ABC＝65度

∵AB=AC，∠A=30°，∴∠ABC=∠ACB=75°，∵AB的垂直平分线交AC于D，∴AD=BD，∴∠A=∠ABD=30°，∴∠BDC=60°，∴∠CBD=180°-75°-60°=45°．故填4

c上取be=ba连de然后你自己找角的关系从而找到相等的边

过点C作CE∥AB，交BD于E，如右图所示，设AC=x，∵∠ABC=90，AB=1，AC=x，∴BC=x2−1，∴CE=BC•tan30°=33×x2−1，∵CE∥AB，∴△DCE∽△DAB，∴DC：

∵AB=AD∴∠ABD=∠ADB∵∠ADB=∠C+∠CBD∴∠ABD=∠C+∠CBD∴∠ABC=∠ABD+∠CBD=2∠CBD+∠C已知∠ABC=∠C+30°∴2∠CBD+∠C=∠C+30°即∠CBD

AB=AD∠ABD=∠ADB∠ABD+∠ADB+∠A=180°=>∠ABD=(180°-∠A)/2∠ABC=∠C+30°∠ABC+∠C+∠A=180°∠ABC+(∠ABC-30°)+∠A=180°=>

∵∠ACB＝90,∠CBD＝30∴CD＝BC/√3∵AC＝BC∴CD＝AC/√3∴AD＝AC-CD＝AC-AC/√3＝（1-√3/3）AC∴AC/CD＝[1-√3/3）AC]/（AC/√3）＝√3-1

以A为圆心,AB为半径画圆∵AB=AC=AD∴B、C、D都在圆A上∴∠CAD是弧CD对的圆心角,∠CBD是弧CD对的圆周角∴∠CBD=1/2∠CAD=38°

∵AB=AC,∠A=30°∴∠ABC=∠C=1/2(180-30)=75∵AB的垂直平分线交AC于D∴AD=BD∴∠A=ABD=30∴∠CBD=∠ABC-ABD=75-30=45º.

/>设∠DBC=x因为AD=AB所以∠ADB=∠ABD又因为AB=AC所以∠ABC=∠ACB=∠ABD+x由三角形内角和关系知∠DAC+∠ADB=∠DBC+∠ACB所以76°+∠ADB=76°+∠AB

设DC=X∵在△BCD中,∠CBD=30°∴BD=2DC=2X在△DBC中BC=√（BD-DC）=√3X∴BC=AC=√3XAD=AC-DC=√3X-X∴AD/DC=√3X-X/X=X(√3-1)/X

设BC的中点为EBE=ECAE=AEAB=AC△ABE≌△ACE∠AEB=∠AEC=90°∠EAC+∠C=90°=∠CBD+∠C所以∠EAC=∠CBD=∠EAB=1/2∠A祝你学习天天向上,加油!

∵BD⊥AC,∠CBD=25°,∴∠C=65°,过A作AE⊥BC,则∠CAE=90°-∠C=25°,∵∠A=50°,∴∠BAE=25°,在ΔAEB与ΔAEC中,∠CAE=∠BAE=25°,∠AEB=∠

连接AD∵∠CAD=∠CBD=30°∠BAD=∠BCD=20°∴∠BAC=∠BAD+∠CAD=20°+30°=50°∵AB=AC∴∠ABC=∠ACB∴∠ABC=(180°-50°)/2=65°

连接AD∵∠CAD=∠CBD=30°∠BAD=∠BCD=20°∴∠BAC=∠BAD+∠CAD=20°+30°=50°∵AB=AC∴∠ABC=∠ACB∴∠bac=(180°-50°)/2=65°

65或25

∵AB=AC，∠A=56°，∴∠ABC=∠ACB=62°．∵BD⊥AC于D，∴∠CBD=90°-62°=28°．

∵AB=AD，∴∠ADB=∠ABD又∵∠ADB=∠CBD+∠C∴∠ABD=∠CBD+∠C∴∠ABC=∠CBD+∠C+∠CBD=∠C+30°即2∠CBD=30°解得∠CBD=15°．故选A．

∵AB=AC，∠A=36°，∴∠ABC=∠ACB=72°．∵BD⊥AC于点D，∴∠CBD=90°-72°=18°．故答案为：18°．