19. Ikki parallel to4g4ri chiziqni uchinchi to4g4ri chiziq kesganda hosil
bo4lgan burchaklardan biri 550 ga teng. Qolgan burchaklarini toping.
20. Teng yonli ABC uchburchakning uchidan AB asosiga o4tkazilgan
bissektrisasi uni ikkita uchburchakka ajratadi. Bu uchburchaklarning
tengligini isbotlang.
21. Perimetri 30 sm bo4lgan uchburchakning bir tomoni ikkinchi tomonidan
2 sm katta, uchinchi tomonidan esa 2 sm kichik. Uchburchakning katta
tomonini toping.
22. Uchburchakning asosiga tushirilgan medianasi uni perimetri 18 sm va
24 sm ga teng ikki uchburchakka ajratadi. Berilgan uchburchakning
kichik yon tomoni 6 sm ga teng. Uchburchakning katta yon tomonini
toping.
23. Uchburchakning 5 sm ga teng bo4lgan balandligi uni perimetri 18 sm
va 26 sm bo4lgan ikkita uchburchakka ajratadi. Berilgan uchburchak-
ning perimetrini toping.
24. Teng yonli uchburchakning perimetri 7,6 sm ga, asosi esa 2 sm ga teng.
Yon tomonini toping.
25. AB va CD to4g4ri chiziqlar O nuqtada kesishadi. BOC va AOD
burchaklarning yig4indisi 1940 ga teng. AOC burchakni toping.
26. ABC uchburchakda A burchak C burchakka teng, AD balandlik esa BC
tomonni teng ikkiga bo4ladi. Agar BD = 7,8 sm bo4lsa, AC ni toping.
27. Teng yonli uchburchakning yon tomoniga tushirilgan balandligi bilan
ikkinchi yon tomoni orasidagi burchak 200 ga teng. Uchburchakning
asosidagi burchagini toping.
28. B burchakning bissektrisasida yotgan D nuqtadan burchakning tomonla-
riga DA va DC perpendikulyarlar o4tkazilgan. DA = DC ekanini
isbotlang.
29. Agar A, B va C nuqtalar bir to4g4ri chiziqda yotib, AC = 7 m va
BC = 9 m bo4lsa, AB kesmaning uzunligini toping.
153
154
Yakuniy yozma nazorat ishi namunasi.
Masala.
1. Qo4shni burchaklardan biri ikkinchisidan 180
kichik. Shu burchaklarni toping.
2. 1-rasmda berilgan ma’lumotlar asosida:
a)
ABC
=
ADC
ekanligini isbotlang;
b)
ACD
uchburchak perimetrini toping.
3. 2-rasmda
a
||
b
va
AB
#
CAD
burchak
bissektrisasi,
AC
= 7 sm.
BC
kesma uzunligini
toping.
Yakuniy nazorat ishi ikki qismdan iborat
bo4lib, ikki dars soati (66-67-darslar) davomida
o4tkaziladi. Birinchi qismda 64-65-darslarda
ko4rilgan geometrik diktant va test savollariga
o4xshash 5 ta diktant savollari va 10 ta testni
yechish taklif qilinadi. Nazorat ishining ikkinchi
qismida quyidagi variantda berilgan masalalarga
o4xshash 5 ta masala berilishi mumkin.
Uchinchi dars soatida (68-dars) natijalar
muhokama qilinadi va xatolar ustida ishlanadi.
A
B
C
D
10 sm
7 sm
5 sm
1
A
B
D
a
b
c
2
C
Testlar
1. Berilgan nuqtadan berilgan to4g4ri chiziqqa parallel qilib nechta to4g4ri chiziq
o4tkazish mumkin?
A)
1;
B)
2;
D)
3;
E)
4.
2. Yoyiq burchak necha gradusga teng?
A) 900; B) 900 dan katta;
D) 900 dan kichik;
E) 1800.
3. Agar ABC uchburchakda B = 300, C = 900 va AC = 10 sm bo4lsa, AB
gipo tenuzasini toping.
A)
10
sm;
B)
12
sm;
D) 15 sm; E) 20 sm.
4. ABC uchburchakda AB = BC, AB = AC + 7 ( sm). Agar ABC uchburchak
perimetri 23 sm bo4lsa, uchburchakning kichik tomonini toping.
A)
3
sm;
B) 5 sm; D) 7 sm; E) 9 sm.
4. To4g4ri burchakli uchburchakning to4g4ri bur chagidan tushirilgan balandligi
uning bis sektrisasi ham bo4ladi. Bu uchburchak bur chaklarini toping.
5. Berilgan burchakka teng burchak va uning bissektrisasini yasang.
YAKUNIY NAZORAT ISHI VA
XATOLAR USTIDA ISHLASH
66-68
154
155
5. Qo4shni burchaklardan biri ikkinchisidan uch
marta katta. Bu burchaklar ayir masini toping.
A)
450; B)
600 ; D) 750; E) 900.
6. Aylananing radiusi 3,2 sm. Uning diametrini
toping.
A) 3,2;
B) 5,2;
D) 6,4;
E) 1,6.
7. ABC # to4g4ri burchakli uchburchak ( 3-rasm),
C = 900, CD # mediana. BDC = 1300
bo4lsa, A ni toping.
A)
450; B)
650;
D) 750;
E) 850.
8. ABC # teng yonli uchburchakning uchidagi B
burchagi 800 ga teng. Uning A uchidagi tashqi
burchagini toping.
A)
1300; B) 1200; D) 1100; E)
1000.
9. Agar a b, b c, c d bo4lsa, quyidagi
javoblardan qaysi biri to4g4ri?
A)
a
||c;
B)
b
d;
D)
a
||d;
E)
b
||c.
10. Agar 4-rasmda AO = OB, OC = OD, BC = 5 sm
va AO + OC = 7 sm bo4lsa, AOD uchburchak
perimetrini toping.
A)
5
sm;
B)
7
sm;
D)
12
sm
; E)
17
sm.
11. Agar 5-rasmda a||b va b||c bo4lsa, x = ?
A)
600; B)
700; D)
800; E) 900.
12. ABC uchburchakda A = 500 va B = 700
bo4lsa, uning katta tomonini aniqlang.
A)
AB
; B)
BC
; D) AC;
E) aniqlab bo4lmaydi.
13. Agar 6-rasmda O # aylana markazi, AO = 4
sm
bo4lsa, BC kesma uzunligini toping.
A)
4 sm; B) 5 sm; D) 2 sm; E) 8 sm.
14*. 7-rasmda tasvirlangan uchburchakning kichik burchagini toping.
A)
300; B)
450; D)
600; E) 900.
A
B
C
D
a
b
c
x
1100
A
B
C
D
O
3
4
5
2 a
a
7
A
B
C
O
6
155
156
2.
5. 1 ta. 7. a) istalgancha; b) 1 ta; c) 1 ta yoki umuman o4tkazib bo4lmaydi.
9. 5 ta; 8 ta.
3.
1.
A
va
C
;
A
va
B
. 3. Ha; yo4q. 5. a) 2 ta; b) 3 ta; c) 4 ta; d) 11 ta;
e) (
n
+ 1) ta. 6. 6 ta. 7. 8 ta. 8. 4 ta, 6 ta. 9. 4 ta. 10. Ha.
4.
8. 6 ta:
AB, BC, CD; AC; AD; BD
.
5.
9.
B
nuqta
A
va
C
orasida. 10. 15
sm.
6.
4. 4
sm
; 5
sm
; 6,5
sm
; 1
sm
; 2,5
sm
; 1,5
sm
. 5. a) 6,6; b) 1; c) 9. 6. 12,8
sm
.
7. 0,8. 9. 2 ta hol bo4lishi mumkin;
B
nuqta
AC
kesmada bo4lsa,
AC
= 800
m
.
C
nuqta
AB
kesmada bo4lsa,
AC
= 400
m
.
7.
9. a) 36
mm
; b) 90
sm
; c) 4
m
22
sm
. 10. a) 5
sm
; b) 3,5
sm
; c) 57
sm
.
13. 130
sm
. 14. 16
m.
10.
1-nazorat ishi:
1.
BC
= 3
sm
. 2.
BC
= 12
sm
. 3.
BOC
= 350. 4. 1500.
11.
8.
AOD
,
COB
,
DOB
,
AOC
. 9. 10 ta, bular:
AOE
,
EOD
,
DOC
,
COB
,
BOA
,
EOB
,
EOC
,
AOC
,
AOD
,
BOD
.
12.
4. Ha. 7. a) 720; b) 600; c) 500. 10. a) Ha; b) Yo4q; c) Yo4q. 12. a) 900; b)
1800.
13.
5. 450. 6. a) 8 ta; b) 8 ta; c) 8 ta; d) 8 ta. 7. 5 ta o4tkir; 1 ta o4tmas.
10. a) 300; b) 1800; c) 10. 11. a) 0,50; b) 2,50; c) 150. 14.
OC
nur
AOD
ning;
OD
nur
COE
ning;
OE
nur
DOB
ning;
OD
nur
AOB
ning bissektri sasi
bo4ladi.
14.
2. 1800. 6. a) 1600; b) 1500; c) 1350; d) 900. 7. 450; 1350. 8. a) Yo4q; b) Ha;
c) Yo4q. 9. Ha. 10. a) 1400; b) 450; c) 450. 11. a) 400; 1400; b) 550; 1250;
c) 180; 1620.
15.
8. 1), 2), 3), 6). 9. Yo4q, kesmalar o4rtasi usta-ust tushmay qolishi mumkin.
16.
2. 1 ta. 3. 900. 6. Istalgancha.
17.
3. 900. 5.
OC
. 6. 600; 600.
19.
2. 900. 3. 600. 4. Yo4q. 5. Masala 2 ta yechimga ega: z) 150; 2) 650. 6. 150.
9. 6 ta. 10. 4.30 yoki 7.30. 11.
AOB
=1100,
BOC
= 700; b)
AOB
=360,
BOC
=1440; c)
AOB
=1120,
BOC
=680; d)
AOB
= 1500,
BOC
=300.
12. 500, 1300, 500, 1300.
20.
2-nazorat ishi:
1. 1060. 2. 600. 3. 480.
Javoblar va ko4rsatmalar
156
157
21.
9. a) a, b, d, e, g; b) c, f, h; c) c, f.
22.
4. a)
QR
; b)
RPQ
va
RQP
; c)
Q
yoki
PQR
; d)
PQR
. 6. a) to4g4ri
burchakli; b) o4tkir burchakli; c) teng yonli; d) teng tomonli; e) o4tmas
burchakli.
23.
6. To4g4ri burchakli uchburchakda. 7. Ha. 8. 3. 9. 9 10. 16.
24.
10. e)
D
= 350,
C
= 620. 11. 850. 12. Yo4q.
25.
2. Asosidagi. 3. 10. 4.
a
=12,
b
= 8. 10. 8 sm, 8 sm va 11 sm.
26.
4. 4. 11.
AC
=
BD
= 7.
27.
6.
BAC
=
KAN,
BAN
=
KAC
. 9. 3 ta.
28.
4. Teng tomonli uchburchakda. 5. 10,4
sm
. 7. 8
sm
.
29.
6.
C
1
= 900,
A
1
= 300,
B
1
= 600. 7. 10
sm
, 10
sm
.
30.
6-masalalar: 7. Ha. 11. 850. 12. 480. 13. 1200.
31.
3-nazorat ishi:
1. 10. 3.
11
15
3 ,
1
3
7 ,
1
3
7 . 5-testlar: 1. B; 2. D; 3. B; 4. E;
5. D; 6. A; 7. D; 8. A; 9. B; 10. D; 11. B; 12. B; 13. A; 14. B; 15. D;
16. A.
32.
7. Yo4q, yo4q.
33.
4. 1 = 3 = 5 = 7 = 1170, 4 = 8 = 630.
34.
7. a) Ha; b) Ha; c) Ha; d) Yo4q. 9. 1 tasi kesmasligi mumkin yoki ham masi
kesib o4tadi.
35.
6. a) 3 =7 = 1050, 2 = 4 =6 = 8 = 750. 9. Yo4q.
36.
8. 1) to4g4ri; 2) to4g4ri; 3) to4g4ri.
37.
5. 450. 8. 2 =3 = 550. 9. 700, 1100. 12. 600, 1200.
39.
5-masalalar: 1. 550. 2. Ha. 3. Ha 4. 3 = 7 = 1180; 2 = 4 = 6 =
8 = 620. 6. 1280. 11. 590
40.
4-nazorat ishi:
1. 340, 1460, 1460. 3. 480, 1320. Testlar: 1. A; 2. B; 3. A;
4. E; 5. D; 6. D; 7. D; 8. E; 9. B; 10. B; 11. D; 12. E; 13. A; 14. B; 15.
E; 16. A.
41.
3. 1 ta. 4. 1 ta. 5. a) mavjud; b) mavjud emas; c) mavjud emas. 7. a) 800;
b) 250; c) 450; d) 450. 8. a) 630; b) 900; c) 150. 9. a) 800, 500; b)
300, 600,
900; c) 500, 600, 700.
157
158
42.
3. 600, 450, 750. 4. 300, 1200. 5. 750. 6. 2700. 7. 900. 8. 900. 9. 1100. 10. 600.
11. mumkin bittasi. 12. 3600.
43.
1. 500; 900; 400. 2. 600; 480. 5. mumkin. 6. 5400. 7. 240, 360, 600. 9. a) 300, 300;
b) 700, 400 yoki 550, 550. 10. a) 150, 1500; b) 750, 300. 12. 150; 650. 13. 300. 14.
67,50. 17. a) 650; b) 450; 900; 450. 18. a) 790; b) 1000. 19.
x
=200,
y
=500.
21. 600. 22. 600, 600, 600. 23. 450, 900, 450.
44.
5. Gipotenuza 300 qarshisidagi katetdan 2 marta katta bo4ladi. 7. a) 4; b) 6;
c) 600. 8. a) 5; b) 13,5; c) 9. 9. 8 sm va 16 sm.
45.
4. a) Yo4q; b) yo4q; c) bo4ladi; d) yo4q. 5. a) bo4ladi; b) bo4ladi; c) bo4ladi;
d) yo4q; e) yo4q. 7. a) bo4ladi; b) bo4ladi; c) bo4ladi; d) yo4q; e) bo4ladi.
47.
2. 7
sm
. 3. 7
sm,
7
sm
.
48.
2. Eng kattasi
ACB
, eng kichigi
ABC
. 3. a)
ABC
>
BAC
>
ACB
mumkin emas; b)
ACB
=
ABC
<
BAC
mumkin. 4. Asosi, yon tomoni. 5.
Yo4q. 6. a)
BC
>
AC
>
AB
; b)
BC
<
AC
<
AB
. 7. Yo4q, yo4q. 8. 600; 600; 1200;
1200. 9. 0<
B
< 600. 10. O4tkir burchakli. 12. Gipotenuzasi.
49.
3. Yo4q. 4. a) mavjud; b) yo4q; c) mavjud; d) mavjud. 5. a) 7; b) 10; c) 8
yoki 5. 7. 7; 7; 11. 8. 6 ta. 9. Uchburchak yoki kesma.
51.
5-nazorat ishi:
1. 650. 2. 400,600,800. 3. 12
sm
4. 400,600,800. 4-testlar:
1. B; 2. D; 3. B; 4. B; 5. D; 6. B; 7. B; 8. B; 9. E; 10. A; 11. D; 12. A;
13. D; 14. A; 15. D; 16. D; 17. D; 18. D.
62.
1. 20 sm. 2. 200. 3. 150. 4. 300. 5. 400; 600; 800. 6. 1 : 2. 7. 760. 8. 420. 9. 210,
690. 10.
AOB
=122,50. 11. 720. 12. 460.
64.
3. O4tkir burchakli. 5. a) 920; b) 420. 6. 6; 6; 6; 600. 8. 450. 10. Kesma. 11.
Ha. 12. 9
sm
. 15. 1440. 16. 540. 17. 3,6
sm
. 19. 4 ta 550 li va 4 ta 1250.
65.
5-Testlar: 1. A; 2. E; 3. D; 4. B; 5. E; 6. A; 7. E; 8. D. 9. B. 10. A.
11. A; 12. D; 13. B; 14. D; 15. E; 16. A; 17. B; 18. E; 19. A; 20. D.
6-Masalalar: 2. 12
sm
. 3. 12
sm
. 4. 34. 5. 2,8
sm
. 6. 830. 7. 15,6
sm
. 8. 550.
10. 2
m
yoki 16
m
.
66.
Yakuni nazorat ishi:
1. 810, 990. 2. b) 22
sm
. 3. 7
sm
.
158
Darslik ijaraga berilib, o‘quv yili yakunida qaytarib olinganda
yuqoridagi jadval sinf rahbari tomonidan quyidagi baholash
mezonlariga asosan to‘ldiriladi:
O‘quvchining
ismi va familiyasi
O‘quv
yili
Sinf
rahbari-
ning
imzosi
Darslikning
topshiril-
gandagi
holati
T/r
1
2
3
4
5
6
Darslikning
olingandagi
holati
Sinf
rahbari-
ning
imzosi
Darslikning birinchi marotaba foydalanishga berilgandagi holati.
Muqova butun, darslikning asosiy qismidan ajralmagan. Barcha
varaqlari mavjud, yirtilmagan, ko‘chmagan, betlarida yozuv va chiziqlar
yo‘q.
Muqova ezilgan, birmuncha chizilib, chetlari yedirilgan, darslikning
asosiy qismidan ajralish holati bor, foydalanuvchi tomonidan qoniqarli
ta’mirlangan. Ko‘chgan varaqlari qayta ta’mirlangan, ayrim betlariga
chizilgan.
Muqovaga chizilgan, yirtilgan, asosiy qismdan ajralgan yoki
butunlay yo‘q, qoniqarsiz ta’mirlangan. Betlari yirtilgan, varaqlari
yetishmaydi, chizib, bo‘yab tashlangan. Darslikni tiklab bo‘lmaydi.
Yangi
Yaxshi
Qoniqarli
Qoniqarsiz
Ijaraga berilgan darslik holatini ko‘rsatuvchi jadval
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