第6题,初二数学
展开全部
(1)∠P=180-(∠PBC+∠PCB)=180-(1/2*∠ABC+1/2*∠ACB)
=180-1/2(180-∠A)=90+1/2*∠A
结论 ∠P=90+1/2*∠A
(2)∠P=180-1/2∠ABC-(∠ACB+1/2∠ACD)=180-1/2∠ABC-{∠ACB+1/2(180-∠ACB)}
=180-1/2∠ABC-(∠ACB+90-1/2∠ACB)=90-1/2(∠ABC+∠ACB)
=90-1/2(180-∠A)=1/2∠A
结论 ∠P=1/2*∠A
(3)∠P=180-1/2*(∠DBC+∠ECB)=180-1/2*{(180-∠ABC)+(180-∠ACB)}
=180-1/2*{360-(∠ABC+∠ACB)}=180-1/2*{360-(180-∠A)}
=180-1/2*(180+∠A)=180-90-1/2*∠A=90-1/2*∠A
结论 ∠P=90-1/2*∠A
运用了三角形内角和为180度,还有三角形外角的知识。*表示乘号!
=180-1/2(180-∠A)=90+1/2*∠A
结论 ∠P=90+1/2*∠A
(2)∠P=180-1/2∠ABC-(∠ACB+1/2∠ACD)=180-1/2∠ABC-{∠ACB+1/2(180-∠ACB)}
=180-1/2∠ABC-(∠ACB+90-1/2∠ACB)=90-1/2(∠ABC+∠ACB)
=90-1/2(180-∠A)=1/2∠A
结论 ∠P=1/2*∠A
(3)∠P=180-1/2*(∠DBC+∠ECB)=180-1/2*{(180-∠ABC)+(180-∠ACB)}
=180-1/2*{360-(∠ABC+∠ACB)}=180-1/2*{360-(180-∠A)}
=180-1/2*(180+∠A)=180-90-1/2*∠A=90-1/2*∠A
结论 ∠P=90-1/2*∠A
运用了三角形内角和为180度,还有三角形外角的知识。*表示乘号!
推荐律师服务:
若未解决您的问题,请您详细描述您的问题,通过百度律临进行免费专业咨询