Berilgan burchakka teng burchakni yasash
![Mavzu: Berilgan
burchakka teng
burchakni
yasash](/data/documents/6e0f5859-6fca-44eb-bf97-0a7954898ed1/page_1.png)
![1-masala. A burchak berilgan. O nurga
A
burchakka teng burchak qo ` ying.](/data/documents/6e0f5859-6fca-44eb-bf97-0a7954898ed1/page_2.png)
![Yasash:
1-qadam . Markazi A nuqtada
bo ` lgan ixtiyoriy
aylana chizamiz .
Bu aylana berilgan
A
burchak tomonlarini
B va C
nuqtalarda kesib o ` tsin.](/data/documents/6e0f5859-6fca-44eb-bf97-0a7954898ed1/page_3.png)
![](/data/documents/6e0f5859-6fca-44eb-bf97-0a7954898ed1/page_4.png)
![2-qadam . Radiusi chizilgan
aylana radiusiga
teng va markazi
O nuqtada
bo ` lgan aylana chizami z . Bu
aylananing
O nur bilan
kesishish
nuqtasini
C bilan belgilaymiz. ₁](/data/documents/6e0f5859-6fca-44eb-bf97-0a7954898ed1/page_5.png)
![](/data/documents/6e0f5859-6fca-44eb-bf97-0a7954898ed1/page_6.png)
![3-qadam. Markazi C ₁
nuqtada, radiusi esa
BC ga
teng bo ` lgan aylana chizamiz .
Uning avvalgi aylana bilan
kesishgan nuqtalaridan birini
B
bilan belgilaymiz. ₁](/data/documents/6e0f5859-6fca-44eb-bf97-0a7954898ed1/page_7.png)
![](/data/documents/6e0f5859-6fca-44eb-bf97-0a7954898ed1/page_8.png)
![4-qadam. OB nurni ₁
o ` tkazamiz .
Hosil bo ` lgan
B ₁ OC ₁
burchak
O nurga qo ` yilgan
va berilgan
A burchakka
teng bo ` ladi.](/data/documents/6e0f5859-6fca-44eb-bf97-0a7954898ed1/page_9.png)
![](/data/documents/6e0f5859-6fca-44eb-bf97-0a7954898ed1/page_10.png)
![Asoslash: ABC
va
OB C ₁ ₁ uchburchaklarda yasashga ko ` ra:
AB
= OB ₁ , AC = OC ₁ va BC = B C ₁ ₁ .
Demak, uchburchaklar tengligining TTT
alomatiga ko ` ra
ABC = OB C ₁ ₁ . Xususan,
B OC ₁ ₁ = A .
Eslatma:
Bu masala ikkita yechimga ega bo ` lib,
ular 3-qadamda
B ₁ nuqta OC ₁ nurning qaysi
tomonida
olinishiga bog ` liq .](/data/documents/6e0f5859-6fca-44eb-bf97-0a7954898ed1/page_11.png)
![2-masala. Berilgan ikkita
burchak yig ` indisiga teng
bo ` lgan burchak yasang .
Yasash:
1-qadam. Avval
birinchi burchakka teng
bo ` lgan
BAC burchakni
yasaymiz
.](/data/documents/6e0f5859-6fca-44eb-bf97-0a7954898ed1/page_12.png)
![](/data/documents/6e0f5859-6fca-44eb-bf97-0a7954898ed1/page_13.png)
![2-qadam. AC nurga ikkinchi
burchakka teng bo ` lgan
CAD
burchakni
B va D
nuqtalar
AC nurga nisbatan turli
yarimtekislikda yotadigan qilib
qo ` yamiz. Hosil
bo ` lgan
BAD burchak berilgan
burchaklar yig ` indisiga teng
burchak bo ` ladi.](/data/documents/6e0f5859-6fca-44eb-bf97-0a7954898ed1/page_14.png)
![3-masala. Berilgan ikkita burchak
ayirmasiga teng burchakni yasang.
Yasash:
Berilgan burchaklar E va F
bo ` lib
F > E bo ` lsin . AB nur
yasaymiz.
AB nurga nisbatan bitta
yarim tekislikda joylashadigan
qilib
BAC = E va BAD = F
burchaklarni qo ` yamiz
.
CAD - berilgan ikki burchak
ayirmasi bo ` ladi.](/data/documents/6e0f5859-6fca-44eb-bf97-0a7954898ed1/page_15.png)
![](/data/documents/6e0f5859-6fca-44eb-bf97-0a7954898ed1/page_16.png)
![Atrofimizda teng
burchaklar](/data/documents/6e0f5859-6fca-44eb-bf97-0a7954898ed1/page_17.png)
![](/data/documents/6e0f5859-6fca-44eb-bf97-0a7954898ed1/page_18.png)
![Mustahkamlash
1 . a) 30 ⁰ ; b) 60 ⁰ ; c) 15 ⁰ ; d)12 ⁰ ; e) 45 ⁰ li
burchaklar berilgan. Ularga teng burchaklarni
yasang.
2 . A = α va B = β burchaklar berilgan
( α>β). O ` lchovi: a) 2 α ; b) α-β; c) 2 α+β bo ` lgan
burchaklarni yasang.
3 . 45 ⁰ va 30 ⁰ li burchaklar berilgan.O ` lchovi:
a) 15 ⁰ ; b) 75 ⁰ ; c) 105 ⁰ ; d) 120 ⁰ ga teng
burchaklarni yasang .](/data/documents/6e0f5859-6fca-44eb-bf97-0a7954898ed1/page_19.png)
![4 . 30 ⁰ li burchak berilgan. Unga
teng burchak va biror nur yasang.
Shu nurga yasalgan burchakni
qo ` ying.
5 . Biror burchak va biror nur
yasang. Shu nurga yasalgan
burchakni qo ` ying.](/data/documents/6e0f5859-6fca-44eb-bf97-0a7954898ed1/page_20.png)
![1. Uchburchakning nechta burchagi to’g’ri bo’lishi
mumkin?
a) 2 ta b) 3 ta s) 1
ta
2. Uchburchakning nechta burchagi o’tmas bo’lishi
mumkin?
a) 1 ta b) 2 ta s) 3
ta
3. O’tkir burchakli uchburchakning nechta burchagi
O’tkir bo’ladi?
a) 3 ta b) 2 ta s) 1
ta
4. Agar uchburchakning 2 ta burchagi 60 0 va 40 0
bo’lsa, uchinchi burchagini toping?
a) 150 0 b) 100 0 s) 80 0
5. Agar uchburchakning ikkita burchagi 90 0 va 45 0
bo’lsa, uchinchi burchagini toping?
a) 135 0 b) 55 0 s) 45 0](/data/documents/6e0f5859-6fca-44eb-bf97-0a7954898ed1/page_21.png)
![1. Ikki qo`shni burchakning ayirmasi 24 ga ⁰
teng bo`lsa, ulardan kichigini toping:
A) 72 ; B) 76 ; D) 78 ; E) 82 .
⁰ ⁰ ⁰ ⁰
2. Ikki to`g`ri chiziqning kesishishidan hosil
bo`lgan burchaklardan uchtasining yig`indisi
200 ga teng. Burchaklardan kichigini toping:
⁰
A) 20 ; B) 40 ; D) 60 ; E) 80 .
⁰ ⁰ ⁰ ⁰
3. Burchak bissektrisasi uning tomoni bilan 60
⁰
li burchak hosil qiladi. Berilgan burchakka
qo`shni bo`lgan burchakni toping:
A) 30 ; B) 60 ; D) 90 ; E) 120
⁰ ⁰ ⁰ ⁰ .](/data/documents/6e0f5859-6fca-44eb-bf97-0a7954898ed1/page_22.png)
![E`TIBORINGIZ
UCHUN RAHMAT](/data/documents/6e0f5859-6fca-44eb-bf97-0a7954898ed1/page_23.png)
Mavzu: Berilgan burchakka teng burchakni yasash
1-masala. A burchak berilgan. O nurga A burchakka teng burchak qo ` ying.
Yasash: 1-qadam . Markazi A nuqtada bo ` lgan ixtiyoriy aylana chizamiz . Bu aylana berilgan A burchak tomonlarini B va C nuqtalarda kesib o ` tsin.
2-qadam . Radiusi chizilgan aylana radiusiga teng va markazi O nuqtada bo ` lgan aylana chizami z . Bu aylananing O nur bilan kesishish nuqtasini C bilan belgilaymiz. ₁