1
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ABC uchburchak berilgan, bunda a = 10, b = 12 va = 60° bo‘lsa, ni toping.
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Yechish:
Javob: 124
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2
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Aylana uzunligi 12 ga teng bo‘lgan doiraning yuzini toping.
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Yechish:
Aylana uzunligi
L = 2 R
Doira yuzi
S =
12 = 2
R =
S = = 36
Javob: S = 36
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3
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BC va DE vatarlari A nuqtada kesishadi. AD = 3, AE = 4 va AC = 10. AB ni toping.
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Yechish:
AB ∙ AC = AE ∙ AD dan
10x = 3 ∙ 4
10x = 12
x = 1,2
Javob: AB = 1,2
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4
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Agar + = (− 2;3) =
(– 4;5) bo‘lsa, vektorining koordinatalarini toping.
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Yechish:
= (x,y), = (– 4;5)
+ = (− 2;3)
x – 4 = – 2
y + 5 = 3, bundan
x = 2, y = – 2
Javob: = (2; – 2)
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5
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Teng tomonli uchburchakning balandligi 8 cm. Uchburchakning tomoni va uchburchakka ichki va tashqi chizilgan aylanalarning radius uzunliklarini toping?
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Yechish:
h = 8 cm
h = formuladan
8
a = 16
demak, uchburchak tomoni 16 ga teng. Bundan
R =
r =
Javob: a = 16, R = , r =
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