Matematika. 9 sinf

Matematika. 9 sinf.

1. To`g`ri burchakli uchburchakning gipotenuzasi 8ga teng, katetlaridan biri 4, ikkinchi katetning gipotenuzadagi proyeksiya uzunligini toping.

A) 12 B) 4 C) 8 D) 6

2. 60⁰ li o`tkir burchakka bir-biriga tashqaridan urinuvchi ikkita aylana ichki chizilgan. Kichik aylananing radiusi r ga teng. Katta aylananing radiusini toping.

A) 2r B) 3r C) 4r D) 5r

3. bo`lsa, ifodaning qiymatini toping.

A) 2 B) 1 C) 3 D) 4

4. Hisoblang. tg 435⁰ + tg375⁰

A) 1 B) 2 C) 3 D) 4

5. 6x² – 5x + 1 = 0 tenglamaning ildizlari va bo`lib, lar I chorakda bo`lsa, ni toping.

A) B) C) D)

6. Arifmetik progressiyaning uchinchi hadi 8ga, 4-chi hadi 5ga va dastlabki bir nechta hadlari yig`indisi 28 ga teng Yig`indida necha had qatnashgan?

A) 10 B) 11 C) 9 D) 8

7. 3ga bo`linadigan barcha 3 xonali juft sonlarning yig`indisini toping.

A) 82350 B) 80350 C) 92350 D) 72350

8. y = 2x ² + bx +c parabolaning uchi (-3;-5) nuqtada joylashgan. Bu funksiya nollarining o`rta arifmetigini toping.

A) -1 B) -2 C) -3 D) 1

9. tengsizlikning butun yechimlari yig`indisini toping.

A) 3765 B) 3675 C) 49 D) 99

10. cosα = 0,7 bo`lsa birlik aylanada α burchakka mos keluvchi nuqta qaysi koordinata choraklarida joylashgan ? A) I, II B) II, IV C) I,IV D) II, III

11. Funksiyaning aniqlanish sohasini toping: y=.

A) B) 1
12. cosα = - va <α<π bo`lsa, tgα ni toping.

A) - B) C) D)

13. 2 – x – x ² ≥ 0 tengsizlikning eng katta butun yechimini toping.

A) 1 B) 2 C) -1 D) -2

14. O`tkir burchagi 30<sup>0</sup> ga, balandligi esa 4 sm ga teng bo`lgan rombning yuzini toping.

A) 16 B) 32 C) 64 D) 8

15. Funksiyaning aniqlanish sohasini toping: y=

A) B) C) D) X<

16. Noto`g`ri formulani toping.

A) sin(180⁰–α)=sin α B) cos(180⁰–α)=cos α C) sin(90⁰–α)=cos α D) cos(90⁰-α)=sin α

17. ABC uchburchakda C burchak 135⁰ , AC=6 dm, BD balandlik 2 dm ga teng. ABD uchburchakning yuzini toping.

A) 16 B) 8 C) 12 D) 24

18. Quyida javoblarda berilgan funksiyalardan qaysi biri juft ?

A) y=x²-2x+3 B) y=x³ – 3x C) y= 2010 + x²⁰¹⁰ D) y= x⁴ –x² +8x -4

19. Ifodaning qiymatini toping: , bunda x=.

A) 1 B) 0 C) 2 D) 3

20. O`suvchi arifmetik progressiyaning birinchi va ikkinchi hadlari yig`indisi 4 ga, ko`paytmasi -12 ga teng. Arifmetik progressiyaning ayirmasini toping

A) 6 B) 8 C) 10 D) 4

21. Ifodani soddalashtiring:

A) sin2α B) cosα C) 1 D) 0

22. BD va CE lar bitta aylananing vatarlari bo`lib, A nuqta shu vatarlarning kesishish nuqtasi, AC = 6 sm, AE = 12 sm, AB ning uzunligi AD dan 1 sm qisqa. BD ni toping.

A) 21 sm B) sm C) 16 sm D) 17 sm.

23. Ifodani soddalashtiring :

A) 1 B) –sin²α C) 1 D) sin²α

24. (b_n) geometrik progressiyada b₂ = 0,04 va b₄ = 0,16 ekanligi ma’lum. Uning dastlabki to`qqizta musbat hadining yig`indisini toping.

A) 102,2 B) 1022 C) 10,22 D) 1,022

25. AB va CD vatarlar E nuqtada kesishadi. Agar AE = 16, BE = 9, CE = ED bo`lsa, ED ni toping.

A) 10 B) 8 C) 14 D) 12