a
n
= 2 + 3 n
____________________________________________________________
____________________________________________________________
___________________________________________________________.
2. Agar arifmetik progressiyada 𝑎
2
= 8, 𝑎
10
= 64
bo‘lsa, uning ayirmasini toping.
____________________________________________________________
____________________________________________________________
___________________________________________________________.
3. Arifmetik progressiya n – hadining formulasi bilan
berilgan. Agar 𝑎
𝑛
= 7 + 2𝑛 bo'lsa, 𝑆
50
ni toping.
____________________________________________________________
____________________________________________________________
___________________________________________________________.
4. Geometrik progressiya dastlabki yettita hadining
yig'indisini toping:
5, 10, 20, ...
____________________________________________________________
____________________________________________________________
____________________________________________________________
____________________________________________________________
___________________________________________________________.
5. Ushbu geometrik progressiya cheksiz kamayuvchi
bo'lishini isbotlang:
1,
1
2
,
1
4
, …
____________________________________________________________
____________________________________________________________
____________________________________________________________
___________________________________________________________.
10
____ ____. 202__-yil.
9-nazorat ishi. 2-qator
1. Har bir hodisa uchun uning mumkin bo'lmagan yoki
muqarrar, yoki tasodifiy ekanligini aniqlang: Algebra darsligi
tasodifiy ochilib, o‘ng betidagi uchinchi so‘z topildi. Bu so‘z:
a) ,,ehtimollik“ so‘zi → ______________________________________;
b) belgisidan boshlanadi → __________________________________.
2. Qutida 4 ta qizil va 5 ta ko‘k shar bor. Tasodifan bir shar
olindi. Olingan shaming:
a) qizil → __________________________________________________;
b) sariq → _________________________________________________
bo‘lishlik ehtimolligi qanday?
3. Bir shaharda 920 ta odamdan ishga qanday yetib
borishlarini so'rashganda ularning: 350 tasi mashinada, 420 tasi
jamoat transportida, 80 tasi velosipedda, 70 tasi piyoda borishlari
ma’lum bo‘lgan bo'lsa,
a) mashinada → ____________
b) velosipedda → ____________________________________________
sonining nisbiy chastotasini toping.
4. Tanlanmaning modasini toping:
a) 6, 17, 8, 9, 5, 8, 10 → ________________________;
b) 5, 7, 4, 3, 7, 2, 6 → _____________________________________.
5. Tanlanmaning medianasini toping:
a) 25, 16, 14, 21, 22 → _____________________________________
___________________________________________________________;
b) 5, 2, 9, 14, 11 → _________________________________________.
11
Geometriya ____ ____. 202__-yil.
1-nazorat ishi. 2-qator
1. Ikkita o‘xshash uchburchak yuzlari 60 m
2
va 240 m
2
.
Birinchi uchburchakning bir tomoni 6 m bo‘lsa, ikkinchi
uchburchakning unga mos tomonini toping.
____________________________________________________________
___________________________________________________________.
2. Rasmdagi ma’lumotlar asosida
x ni toping.
____________________________________
____________________________________
____________________________________
___________________________________________________________.
3. Rasmda tasvirlangan OAB va
OCD uchburchaklar o‘xshash bo‘ladimi?
Agar o‘xshash bo‘lsa, bu uchburchaklar
perimetrining nisbatini toping.
_____________________________________
_____________________________________
___________________________________________________________.
4. AC = 14 cm, AB = 11 cm, BC = 13 cm, 𝐴
1
𝐶
1
= 28 cm, 𝐴
1
𝐵
1
=
22 cm, 𝐵
1
𝐶
1
= 26 cm ekanligi ma’lum. ABC va 𝐴
1
𝐵
1
𝐶
1
uchburchak-
lar o‘xshash bo‘ladimi?
____________________________________________________________
____________________________________________________________
___________________________________________________________.
5. Katetlari 3 m va 4 m bo‘lgan to‘g‘ri burchakli uchburchak-
ka o‘xshash uchburchakning bir kateti 27 m bo‘lsa, ikkinchi kateti
necha m bo‘ladi?
____________________________________________________________
____________________________________________________________
___________________________________________________________.
12
____ ____. 202__-yil.
2-nazorat ishi. 2-qator
1. Quyidagi nuqtalar OY o‘qiga nisbatan simmetriyalarda
qaysi nuqtalarga o‘tadi?
(1; 2) → ____________, (0; 2) → ____________, (2; 2) → ___________.
2. O (–2; 3) nuqtaga nisbatan markaziy simmetriyada
A (2; 4) nuqta qaysi nuqtaga o‘tadi?
____________________________________________________________
____________________________________________________________
___________________________________________________________.
3. Yuzlari 6 m
2
va 24 m
2
bo‘lgan ikkita to‘rtburchak o‘xshash.
O‘xshashlik koeffitsiyentini toping.
____________________________________________________________
__________________________________________________________.
4. Perimetrlari 27 cm va 18 cm bo‘lgan ikkita romb o‘zaro
gomotetik. Bu romblar tomonlari va yuzlarining nisbatlarini
toping.
____________________________________________________________
____________________________________________________________
___________________________________________________________.
5.
Rasmda
tasvir-
langan minora balandligini
aniqlang.
_________________________
_________________________
_________________________
_________________________
_________________________
_________________________
_________________________
___________________________________________________________.
13
____ ____. 202__-yil.
3-nazorat ishi. 2-qator
1. Balandligi 3 cm va o‘tkir burchagi 30° bo‘lgan rombning
perimetri va yuzini hisoblang.
____________________________________________________________
____________________________________________________________
___________________________________________________________.
2. Agar AB = 6 cm, AC = 4 cm, ∠A = 30° ABC uchburchak
yuzini toping.
____________________________________________________________
____________________________________________________________
___________________________________________________________.
3. Rasmda berilganlarga ko‘ra,
so‘ralgan kesmalarni toping.
__________________________________
__________________________________
__________________________________
__________________________________
___________________________________________________________.
4. ABC uchburchakda AB = 7 dm, AC = 6√3 dm va ∠A = 150°
bo‘lsa, BC ni toping.
____________________________________________________________
____________________________________________________________
___________________________________________________________.
5. Agar 𝑎⃗ va 𝑏⃗⃗ vektorlar uchun |𝑎⃗| = 8, |𝑏⃗⃗| = 7, 𝛼 = 45° bo‘lsa,
bu vektorlarning skalar ko‘paytmasini toping (bu yerda 𝛼 – 𝑎⃗ va
𝑏⃗⃗ vektorlar orasidagi burchak).
____________________________________________________________
____________________________________________________________
___________________________________________________________.
14
____ ____. 202__-yil.
4-nazorat ishi. 2-qator
1. Katetlari 12 cm va 16 cm bo‘lgan to‘g‘ri burchakli
uchburchakka tashqi chizilgan aylana radiusini toping.
____________________________________________________________
____________________________________________________________
___________________________________________________________.
2. Tomoni 6 cm bo‘lgan kvadratga ichki chizilgan aylana
radiusini toping.
____________________________________________________________
____________________________________________________________
___________________________________________________________.
3. Agar n = 6 bo‘lsa, muntazam n burchak burchaklarini
toping.
____________________________________________________________
____________________________________________________________
___________________________________________________________.
4. Yuzi 16 cm
2
bo‘lgan kvadratga ichki va tashqi chizilgan
aylanalar radiuslarini toping.
____________________________________________________________
____________________________________________________________
___________________________________________________________.
5. Rasmda R radiusli aylanaga ichki
chizilgan kvadrat, muntazam uchburchak
tasvirlangan. Uning bo‘sh kataklarini
to‘ldiring (𝑎
𝑛
– ko‘pburchak tomoni, P –
ko‘pburchak perimetri, S – uning yuzi, r —
unga ichki chizilgan aylana radiusi).
15
____ ____. 202__-yil.
5-nazorat ishi. 2-qator
1. Radiusi R ga teng aylana uzunligini topish formulasidan
foydalanib, jadvalni to‘ldiring (π ≈ 3,14 deb hisoblang).
2. Radiusi 6 cm bo‘lgan aylananing gradus o‘lchovi
a) 30° → __________________________________________________;
b) 45° → __________________________________________________
bo‘lgan yoyi uzunligini toping.
3. Radiusi R ga teng bo‘lgan doiraning S yuzini topish
formulasidan foydalanib jadvalni to‘ldiring (π = 3,14 deb oling).
4. Yoyining gradus o‘lchovi 120° va radiusi 7 cm bo‘lgan
sektor va segment yuzlarini toping.
____________________________________________________________
____________________________________________________________
___________________________________________________________.
5. Radiusi 8 cm bo‘lgan doiradan 60° li sektor qirqib olingan.
Doiraning qolgan qismi yuzini toping.
____________________________________________________________
____________________________________________________________
____________________________________________________________
____________________________________________________________
___________________________________________________________.
16
____ ____. 202__-yil.
6-nazorat ishi. 2-qator
1. Rasmlardagi ma’lumotlar
asosida binolarning balandliklarini
toping.
___________________________________
___________________________________
___________________________________
___________________________________________________________.
2. Uzunligi 42 cm bo‘lgan kesma berilgan. Uni 3:4:7
nisbatdagi bo‘lakchalarga bo‘ling.
____________________________________________________________
____________________________________________________________
___________________________________________________________.
3. To‘g‘ri burchakli uchburchakning gipotenuzasiga tushiril-
gan balandligi gipotenuzani 16 cm va 9 cm ga teng kesmalarga
bo‘ladi. Uchburchak tomonlarini toping.
____________________________________________________________
____________________________________________________________
___________________________________________________________.
4.
Rasmdagi
ma’lumotlar
asosida ABC uchburchakning yuzini
toping.
__________________________________
__________________________________
_________________________________.
5. Rasmda x bilan belgilangan noma’lum
kesmani toping.
__________________________________________
__________________________________________
__________________________________________
_________________________________________.
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