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test matematika fanida akademik litse

3- variant

1. A={10;11},B={10;11;13} bo’lsa, bu to’plamlarning ayirmasi C=A\B to’plamni toping.


A) C={10;11} B} C={13} C) C={ Ø} D) C={11;13}
2. - belgisi qanday belgi.
A) ekvivalensiya B) dizyunksiya C) implikatsiya D) konyunksiya

3. ni soddalashtiring.


A) B) 5 C) 3 D) 0
4. Agar m>n>k>0 bo`lsa, |n-m|+|n+k|-|m-k| ni soddalashtiring.
A) 2k B) 2k-2m C) 2k-2n D) 2m-2k
5. 2x5 –x4-3x3+x-3 ko`phadni x-3 ga bo`lgandagi qoldiqni toping.
A) 312 B) 324 C) 344 D) 321
6. Bo`linmani hisoblang:
A) -i B) 1 C) i D) -1
7. Tenglamani yeching: 3x3 -x2+18x-6=0 
A) B) C) - D) ± va -
8. tenglamani yeching:
A) 3,6 B) 2,4 C) 4,5 D)
9. Tengsizlikni yeching. (x-2)(x-5)(x-11)>0
A) (2;5) (11; ∞ ) B) (-∞;2) (5;11).C) (-∞;2] (11; ∞ ) D) (2; ∞ )
10. tengsizlikni yeching.
A) (-8;2) B) (-∞;-8) (2; ∞).C) (-∞;2] D) (-∞;-8)
11. y=-5+4cosx funksiyaning qiymatlar sohasini toping.
A) [1 ;9] B) [2 ;4] C) [-9 ;-1] D) [-1 ; 9]
12. Hisoblang:
A) 1 B) C) D)
13. Tenglamani yeching.
A) B) C) D)
14. Tengsizlikni yeching.
A) - B)
C) D) -
15. y=ax ko’rsatkichli funksiya qaysi oraliqda o’suvchi funksiya bo’ladi?
A) a<1<0 B) a<0 C) a>1 D) a>0
16. Tengsizlikni yeching:
A) B) -217. Hisoblang:
A) - B) -2 C) 2 D)
18. Ushbu y=logx-1(x- ) funksiyaning aniqlanish sohasini toping:
A) ( ;∞) B) (1;2) (2;∞) C) (-0,25;2) (2;∞) D) [-0,25;2) [2;∞)
19. Tenglamani yeching. log3(2x-3)=1
A) 9 B) 2 C) 3 D) 5
20. Tengsizlikni yeching: log3(x2+2x)>1
A) (-3;1) B) (-3;∞) C) (-∞;-3) (1; ∞) D) (-∞;1)
21. Fazoda nuqtadan tekislikka ikkiita og`ma o`tkazilgan. Og`malarning tekislikdagi proyeksiyalari 5 va 3,5 ga teng. Agar nuqtadan tekislikkacha bo`lgan masofa 12 bo`lsa, bu og`malarning uzunliklari farqini toping.
A) 1 B) 0,5 C) 0,25 D) 13
22. n ning qanday qiymatlarida berilgan vektorlar perpendikulyar bo’ladi. (2;-1;3) va (1;3;n)
A) B) C) D)
23. A(0;y;0) nuqta B(1;2;3) va C(-1;3;4) nuqtalardan teng uzoqlikda joylashgan bo`lsa, y ni toping.
A) -6 B) 5 С) -5 D) 6
24. To’rtburchakli muntazam prizmaning diagonalini22 ga, asosining yuzi 144ga teng. Prizmaning balandligini toping.
A) 20 B) 14 C) 16 D) 26
25. To`g`ri burchakli parallelepiped asosining tomonlari 6 va 13 ga, balandligi 8 ga teng. Asosining katta tomoni va parallelepipedning diagonallari kesishgan nuqtasi orqali o`tuvchi tekislik hosil qilgan kesimning yuzini toping.
A) 130 B) 124 C) 140 D) 128

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