Boshlang’ich, oraliq va yakuniy nazorat ishlar to’plami I bosqich talabalari uchun boshlang’ich, oraliq va yakuniy nazorat ishlar



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Boshlangich oraliq va yakuniy nazorat ishlar 1 kurs matematika Test

Oraliq nazorat ish – 2.

I-variant

1. P(x) ko’phadni D(x) ko’phadga qoldiqli bo’lishni bajaring.

P(x)=x3+5x2+5x+3 D(x)=x2+4x+1

2. Amalalrni bajaring:

a) -3i+5+8i-5 b) (3-2i)2

3. Bikvadrat tenglamani yeching.

3x4+28x2+9=0

II-variant

1. P(x) ko’phadni D(x) ko’phadga qoldiqli bo’lishni bajaring.

P(x)=x3+5x2+5x+3 D(x)=x+1

2. Amalalrni bajaring:

a) 7i-9-8i+10 b) (4+3i)2

3. Bikvadrat tenglamani yeching.

3x4-7x2+2=0

Oraliq nazorat ish – 3.

I-variant

1. Hisoblang:

sin(arctg(- )+arcsin(-1)-arctg0)

2. Ayniyatni isbotlang:



3. Tenglamani yechishg:

(4cosx-1)(2cos2x+1)=0

II-variant

1. Hisoblang:

tg(arctg(-1)+2arctg(-1)+arctg )

2. Ayniyatni isbotlang:



3. Tenglamani yechishg:

(tgx+4)(ctgx- )=0

Oraliq nazorat ish-4.

I variant.

1. y=3x funksiya grafigini yasang.

2. Tenglamani yeching:

9x-4 . 3x+3=0

3. Tengsizlikni yeching:

4x-2<16

4. Masala.

AB,AC va AD to’g’ri chiziqlar juft-juft perpendikulyar. Bunda AB=3sm,

BC=7sm, AD=1,5 sm bo’lsa, CD kesmani toping.

II variant

1. y=4x funksiya grafigini yasang.

2. Tenglamani yeching:

16x-17 . 4x+16=0

3. Tengsizlikni yeching:

7x-3<49

4. Masala.

AB kesmaning oxirlaridan va uning M o’rtasidan biror tekislikni A1,B1,M1



kesuvchi parallel to’g’ri chiziqlar o’tkazilgan. Agar AB kesma tekislikni

kesib o’tmasa va AA1=5sm, BB1=7sm bo’lsa, MM1 ni toping.



Oraliq nazorat ishi – 5.

I variant.

1. Hisoblang.

a) b) log268-log217

2. Berilgan logarifmik funksiya grafigini yasang.

y=log4 x

3. Berilgan funksiyaga teskari funksiyani toping.

a) y=3x-1 b) y=6x

II-variant.

1. Hisoblang.

a) b) log4256-log464

2. Berilgan logarifmik funksiya grafigini yasang.

y=log x

3. Berilgan funksiyaga teskari funksiyani toping.

a) y=5x-4 b) y=log7x

I. Yakuniy nazorat ish.

I-variant

1. A va B to'plamlarning kesishmasini toping.

A={a,b,c,d,e,f }, B={e,f,k,l,m,n,p}

a) {a,b,c,d,k,l,m,n,p} d) {e,f}

b) {a,b,c,d,e,f,k,l,m,n,p} e) to'g'ri javob yo'q

2. E va F to'plamlarning ayirmasini toping.

E={3,4,7,9,10}, F={2,4,7}

a) {3,9,10} d) {2,3,4,7,9,10}

b) {2} e) to'g'ri javob yo'q

3. 72000 va 126000 ning EKUBni toping.

a) 9000 b) 18000 d) 36000 e) 2000

4. Quyidagi sonlar ichida nechta natural son bor?

-4; -2; 1; 2; 2,4; 7; 7,8; 53; -79

a) 4 b) 6 d) 3 e) 7

5. 17827516 son quyidagi sonlardan qaysi biriga qoldiqsiz bo'linadi?

a) 3 b) 6 d) 4 e) 11

6. | -7,35 | + | 4,65 | yig'indini hisoblang

a) 12 b) -2,7 d)-12 e) 10

7. | 25,6 | + |-74,4 | - | -100 | ni hisoblang.

a) 200 b) 0 d) 1 e) -148,8

8. -17+24+(-10)+(-18)+21

a) 2 b) 4 d) 0 e) 8

9. 199 ni hisoblang.

a) 1 b) 99 d) 100 e) 0

11. 270 sonining natural bo'luvchilari nechta?

a) 15 b) 16 d) 17 e) 20

12. 1 dan 100 gacha bo'lgan sonlar ichida 6 raqami necha marta qatnashadi ?

a) 10 b) 20 d) 11 e) 12

13. Stereometriya qanday shakllarni o’rganadi?

a) tekislikdagi b) fazodagi d) moddiy e) kimyoviy

14. Agar ikkita turli to’g’ri chiziq umumiy nuqtaga ega bo’lsa, ulardan nechta

tekislik o’tkazish mumkin?

a) faqat bitta b) faqat ikkita

d) o’tkazish mumkin emas e) ixtiyoriy

15. Bo'lishni bajaring. (35t9d9 - 45t7d7) : (-5t5d5)

a) -7t4d4 + 9t2d2 d) -7t4d4 - 9t2d2

b) 7t4d4 + 9t2d2 e) 7t4d4 - 9t2d2

16. Ko'paytiring. -3a3b5 (7a5b6c4-5ab3)

a) 21a15b18c4+15a3b15 d) 21a8b11c4 -15a4b8

b) -21a8b11c4+15a4b8 e) -21a8b11c4 -15a4b8

17. To’g’ri ayniyatni toping.

a) sin2-cos2=1 d) sin2-cos2=2

b) sin2+cos2=1 e) sin2+cos2=2

18. Sinus funksiyaning grafigi qanday nomlanadi?

a) kosinusoida d) tangensoida

b) sinusoida e) kotangensoida

19. Berilgan kompleks songa qarama-qarshi kompleks sonni toping. z = - 4+5i

a) - z = 4-5i d) z = 4-5i

b) - z = -4-5i e) z=4-5i

20. tg va ctg funksiyalarning ko’paytmasi nechaga teng?

a)  b) 1 d)- e) -1

21. Berilgan kompleks songa o'zaro qo'shma kompleks sonni toping. z = 9-7i

a) z = -9-7i d) z=-9 + 7i

b) z = 9 + 7i e) z=9-7i

22. x2 - 36x=0 tenglamaning yechimini toping.

a) yechimga ega emas d) x1,2=±6

b) x1=0 x2=36 e) x=6

23. Y'g'indini hisoblang. (2-9i)+(-7+20i)

a) -5+11i d) 5+11i

b) -5+29i e) -5-11i

24. Tenglamani yeching. 4x2- 100=0 :

a) yechimga ega emas d) x1,2=±5

b) x=5 e) x=-5

25. Bikvadrat tenglani ko'rsating.

a) x4-5x+9=0 d) x4-5x2+9=0

b) x2-5x+9=0 e) x4-5x4+9=0



II-variant

1. A va B to'plamlarning birlashmasini toping.

A={a,b,c,d,e,f}, B={e,f,k,l,m,n,p}

a) {a,b,c,d,k,l,m,n,p} d) {e,f}

b) {a,b,c,d,e,f,k,l,m,n,p} e) to'g'ri javob yo'q

2. F va E to'plamlarning ayirmasini toping.

F={3,4,7,9,10,11,12}, E={2,4,7,11}

a) {3,9,10} d) {3,9,10,12}

c) {2,3,4,7,9,10} e) {3,10,12}

3. 4500 va 10800 ning EKUKni toping.

a) 54000 b) 5040 d) 40000 e) 2000

4. Quyidagi sonlar ichida nechta o'nli kasr bor?

-4; -2; 1; 2; 2,4; 7; 7,8; 53; -7,9;

a) 4 b) 6 d) 3 e) -6

5. 17827516 son quyidagi sonlardan qaysi biriga qoldiqsiz bo'linadi?

a) 4 b) 6 d) 3 e) 13

6. Bir xil argumentning sinusi va kosinusi kvadratlarining yig’indisi nechaga

teng?


a)  b) -1 d) - e) 1

7. | 25,6 | - |-74,4 | + | -100 | ni hisoblang.

a) 200 b) 0 d) 51,2 e) -148,8

8. -17+24+(-10)+(-18)+21

a) 0 b) 4 d) 2 e) 8

9. 1999 ni hisoblang.

a) 1 b) 999 d) 1000 e) 0

10. To’g’ri ayniyatni toping.

a) cos2=cos2 - sin2 d) cos2=sin2 - cos2

b) cos2=cos2+sin2 e) cos2=sin2+cos2

11. Kosinus funksiyaning grafigi qanday nomlanadi?

a) kosinusoida d) tangensoida

b) sinusoida e) kotangensoida

12. 270 sonining natural bo'luvchilari nechta?

a) 15 b) 20 d) 17 e) 16

13. 1 dan 100 gacha bo'lgan sonlar ichida 9 raqami necha marta qatnashadi ?

a) 10 b) 20 d) 11 e) 12

14. Stereometriya necha o’lchovli?

a) 2 b) 4 d) 1 e) 3

15. Bo'lishni bajaring. (63t9d9 + 49t7d7) : (-7t5d5)

a) -9t4d4 + 7t2d2 d) -9t4d4 - 7t2d2

b) 9t4d4 + 7t2d2 e) 9t4d4 - 7t2d2

16. Ko'paytiring. -3a3b5 (7a5b6 + 5ab3)

a) 21a15b18 +15a3b15 d) 21a8b11 - 15a4b8

b) -21a8b11 - 15a4b8 e) -21a8b11 + 15a4b8

17. Qavsni oching. (3x-1)2

a) 9x2-6x+1 d) 9x2-6x-1

b) 9x2-1 e) 9x2+1

18. Agar ikkita turli to’g’ri chiziq umumiy nuqtaga ega bo’lsa, ulardan nechta

tekislik o’tkazish mumkin?

a) faqat bitta d) faqat ikkita

b) o’tkazish mumkin emas e) ixtiyoriy

19. Berilgan kompleks songa qarama-qarshi kompleks sonni toping. z = - 7+8i

a) - z = 7-8i d) z = 7-8i

b) - z = -7-8i e) - z = -7+8i

20. sin va tg 1800 da qanday qiymatga teng?

a) 1 b) -1 d) 1 e) 0

21. Berilgan kompleks songa o'zaro qo'shma kompleks sonni toping: z = -9-7i

a) z = 9-7i d) z = 9 + 7i

b) z = -9 + 7i e) -z = -9 + 7i

22. x2 - 81x=0 tenglamaning yechimini toping.

a) yechimga ega emas d) x1,2=±9

b) x1=0 x2=81 e) x=9

23. Y'g'indini hisoblang. (3-9i)+(-7+25i)

a) 4 + 16i d) 10 + 16i

b) -4 + 16i e) 10 - 16i

24. Tenglamani yeching. 4x2- 36=0 :

a) yechimga ega emas d) x1,2=±3

b) x=3 e) x=-3

25. Bikvadrat tenglani ko'rsating.

a) x4-7x+8=0 d) x4-7x2+8=0

b) x2-7x+8=0 e) x4-7x4+8=0




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