4.11-masala. A, B, C sonlar mos ravishda uchta kesmaning uzunliklarini ifodalaydi. Agar kesmalar uchburchakning tomonlarini ifodalasa, uchburchakning yuzi S, uchburchakka tashqi va ichki chizilgan aylanalarning radiuslari r1 va r2 larni toping.
Yechish. Agar
p a b c
2
deb belgilash kiritsak, uchburchakning mavjud bo’lish
sharti p ( p a) ( p b) ( p c) 0 ko‘rinishda yoziladi. Uchburchakning yuzi
s , tashqi aylananing radiusi
r a b c , ichki aylananing
s
radiusi esa r2 formula yordamida aniqlanadi.
p
1 4 s
import math A=float(input("Uchburchakning A tomonini kiriting\nA=")) B=float(input("Uchburchakning B tomonini kiriting\nB=")) C=float(input("Uchburchakning C tomonini kiriting\nC="))
if (A+B)>C and (A+C)>B and (B+C)>A: p=(A+B+C)/2
S=math.sqrt(p*(p-A)*(p-B)*(p-C)) r1=(A*B*C)/4*S
r2=S*p
print("Uchburchakning yuzi=",S) print("Uchburchakka tashqi chizilgan
aylananing radiusi=",r1) print("Uchburchakka ichki chizilgan
aylananing radiusi=",r2) else:
print("Berilgan sonlar bilan uchburchak yasab bo'lmaydi!")
4.12-masala. Ax+B=0 tenglamani yeching.
Yechish. Ma’lumki, a x b 0 tenglamaning yechimi quyidagicha aniqlanadi:
1). A=0, b=0 bo’lsa, tenglama cheksiz ko‘p yechimga ega; 2). A=0, b 0 bo‘lsa, tenglama yechimga ega emas;
3). A 0, bo‘lsa, tenglama
x b
a
yagona yechimga ega;
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