37 Test I variant
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37 Test I variant 1.ABC uchburchakda AB=12, AC=8. AN bissektrisa va BMmediana p nuqtada kesishadi.AP:PN nisbatni toping. A) 1,5 B)1,(6) C)2,25 D)3 2.Muntazam 12 burchakning tomoni 8 ga teng bo’lsa, eng katta dioganalini toping. A) 0 15 cos
8 B)
0 15 cos 16 C)
0 15 sin 8 D)
0 15 cos 16
3.Kvadrat yuzasining son qiymati uning perimetrining son qiymatiga teng. Shu kvadrat dioganali uzunligini toping. A)8 2 B)2 2 C) 4 2 D)8 4.Rasmda tasvirlangan burchak 30 0 . Doiraning radiusi12 ga teng bo’lsa, boyalgan soha yuzini toping.
A) 12 3 36 B)
24 3 36
C) 48 3 72 D) 3 24 48 5.Parallelogramga ichki va tashqi aylana chizish mumkin. Shu aylanalardan kattasining uzunligi kichigining uzunligidan necha marta katta. A)Aniqlab bo’lmaydi. B)2 C) 2 D) 3
6. c lsa bo b c a va b a ' 3 2 1 ; 2 , 7 ; 4 vektorning koordinatalarini aniqlang. A)(-1;-2) B)(2;-6) C)(6;-8) D)(-6;8) 7.Quyidagi fikrlardan qaysi biri noto’g’ri. A)Uchburchakning tekisligidagi proyeksiyasi kesma bo’lishi mumkin B)To’g’ri chiziq tekislikka perpendikulyar bo’lganda uning priyeksiyasi nuqta bo’ladi. C)Perpendikulyar tekisliklarda yotuvchi to’g’ri chiziqlar o’zaro perpendikulyar bo’ladi. D)Ogmaning uzunligi o’zining proyeksiyasidan kichik bo’la olmaydi. 8.Uchburchakli piramidaning asosining tomonlari 13, 14 va 15 ga teng. Piramidaning asosidan boshlab balandligi ning uchdan bir qismiga teng masofadan tekislik bilan kesildi. Hosil bo’lgan kesimning yuzini toping. A) 3 28 B)
3 56 C)28 D) 3 112
9.Asosining uzunligi balandligiga teng bo’lgan silindrning yon sirti 2 36 bo’lsa, silindrning hajmini toping. A)54 B) 108
C)36 3 D)54 2 10.ABCD qavariq to’rtburchkning A burchgi to’g’ri, AB=6, BC=24, AD=8 bo’lsa, bu to’rtburchakka ichki chizilgan aylananing radiusini toping. A)5 B)4,5 C)6 D)5,5 11.6, 8 va 10 sonlariga bo’lganda mos ravishda 4, 6 va 8 qoldiq qoladigan eng kichik natural sonni toping. A)118 B)122 C)88 D)58 12. 25
x soni musbat butun son bo’lsa, x ning verguldan keyingi qismi qanday ko’rinishda bo’ladi. A)04 B)96 C)025 D)975 13. 5
1 1 5 2 2
x va xy bo’lsa, x+y quyidagilardan qaysi biriga teng bo’lishi mumkin. A)6 B)6,4 C)9,6 D)10 14.Soddalashtiring. (a>2) 4 2 4 2 2 2 6 : 2 4 4 4
a a a a a a
A) 3 2
a B)
3 2
a C)
3 2 a a D)
3 1 a
15.Tenglamaning ildizlar yig’indisini toping. 0 1 2 2 1 2
x
A)Ildizga ega emas B)2 C)3 D)-2 16.x 3 -28x+m=0 tenglama uchta ildizga ega bo’lib, ulardan biri ikkinchisidan ikki marta katta bo’lsa, m ning qiymatini toping. A)32 B)48 C)64 D)28 17.
12 13 9
a c b b a bo’lsa, a·b·c ni toping. A)160 B)120 C)108 D)156 18.
x x x 1 2 tengsizlikni qanoatlantiruvchi butun sonlar nechta A)5 B)cheksiz ko’p C)7 D)3 19. 5
2 x x tengsizlikni yeching. A)
; B)(-5;1) C)(-1;5) D)Ø 20.
3 4 1 1 tenglama nechta ildizga ega. A)0 B)1 C)2 D)cheksiz ko’p 21.12 va 18 sonlari orasiga shu sonlar bilan birgalikda geometrik progressiyani tashkil qiluvchi 12 ta son qo’yilgan. Shu sonlar ko’paytmasini toping.
A)6 18 B) 6 36 C) 6
19 D)6
38
22.a yil oldin Nargiza x yoshda bo’lsa, b yildan keyin necha yoshda bo’ladi. A)x+a-b B)x-a+b C)x-a-b D)a+x+b 23.Bir ishni Ahmad bilan Mahmud 12 kunda, Mahmud bilan Ali 8 kunga, Ahmad bilan Ali 6 kunga tugatishadi. Bu ishni Ahmadning o’zi necha kunga tugatadi. A)9,6 B)24 C)18 D)16
9 3 2 2
m x tengsizlik x ning barcha qiymatlari uchun o’rinli bo’ladi. A) ; 5 , 1 4 ; B)
5 , 1 ; C)[-4,5;1,5] D)hech qanday qiymatida. 25.n n
n + n
n + n
n =12500 bo’lsa, (-2) n qiymatini toping. A)-32 B)-8 C)4 D)16 26.Agar ln(ab)=2y va
2 ) ln( bo’lsa, b=? A) y x e B) y x e C) x y e D) y x e 27.tg20
0 +4sin20
0 =?
A) 3 2 B) 6 C) 3 D)
6 2
28.(sin3x+4)(5-sin3x) ko’paytma olishi mumkin bo’lgan eng katta qiymatni toping. A)19,75 B)20 C)20,25 D)18 29.Tengsizlikni yeching.
3 2 sin 2 ln x e
; x
A) ; 6 5 6 ; 2 B) 6 5 ; 6
C) 2 ; 6 D)
; 6 5 6 ; 0
30.Integralni hisoblang. 2 2 2 ? 3 4 3
x x x
A) 1 B)4ln5 C)6ln5 D)4ln0,2 31.(x 4 +5x 2 +3)(x
4 -2x
2 +4)-12 ifodani koeffisiyentlar yig’indisini toping. A)4 B)15 C)12 D)16 32.ABC uchburchakda AN bissektrisa. AN=NC. ANC burchak 80 0 bo’lsa, ABC burchakni toping. A)50 0 B)60 0 C)40
0 D)30
0
33.ABC uchburchakda BC tomonga AN kesma tushirilgan. N nuqtadan AB va AC tomonlarga tushirilgan perpendikulyarlarning har biri 6 ga teng. AB+AC=21 bo’lsa, ABC uchburchakning yuzini toping. A)126 B)84 C)63 D)91 34.Ko’pburchakning bir uchidan 12 ta diagonal chiqarish mumkin bo’lsa, uning ichki burchaklar yig’indisini toping. A)2160 0
0 C)2700 0 D)2520 0
35.ABCD trapetsiyaning AB va CD asoslari 14 va 8 ga teng. CD asosidan E nuqta tanlab olingan. ABE uchburchak yuzining trapetsiya yuziga nisbatini toping. A) 7 4 B)
14 11 C) 11 7 D) 22 7
36.Aylananing markazidan radiusning uchdan bir qismi uzoqlikdan AB vatar o’tkazildi. OD radius AB vatarga perpendikulyar bo’lsa, AD kesma uzunligining AB vatar uzunligiga nisbatini toping. A) 4
B) 2 6 C) 3 2 D) 3 2
Ism________________________
Familya____________________
1. 7. 13. 19. 25. 31. 2. 8. 14. 20. 26. 32.
3. 9. 15. 21. 27. 33. 4. 10. 16. 22. 28. 34.
5. 11. 17. 23. 29. 35. 6. 12. 18. 24. 30. 36.
37 Test II variant 37 1.ABCD to’g’ri to’rtburchakning A uchidan BD diagonalga tushirilgan AH balandlik 6 ga teng. Agar AB=10 bo’lsa, bu to’rtburchakka tashqi chizilgan aylanani radiusini toping. A)12,5 B)4 C)8 D)6,25 2.A(3;-4;5) nuqtadan OXZ tekisligiga eng yaqin nuqta nuqta koordinatasini toping. A)(3;0;5) B)(3;-4;0) C)0;-4;5) D)(0;-4;0) 3.ABCD qavariq to’rtburchak bo’lsa, quyidagilardan qaysi biri noto’g’ri. A)
AD BC AB B)
BC DC AB DA
C) 0
BC AB D)
DC BC DB 4.Og’ma o’z proyeksiyasidan 4 marta uzun bo’lsa, balandlikdan necha marta uzun. A) 15 B)2 C) 15 15
D) 8
5.ABCD to’g’ri burchakli parallelepipedning pastki asosi, A 1 B
C 1 D 1 esa mos ravishda ustki asosi. E nuqra esa, DD 1 tomonidan olingan nuqta. Parallelepiped asosining tomonlari k va 2k ga teng balandligi esa 3k ga teng bo’lsa, BB 1 E
A) 2 13 2 k B)
2 5 3 2 k C)
2 10k D)Aniqlab bo’lmaydi. 6.ABCD to’g’ri burchakli trapetsiyaning A va D burchaklari to’g’ri. AD=3, CD=2 va AB=5. Shu trapetsiyaning AB tomon atrofida aylantirishdan hosil bo’lgan jismning hajmini toping. A)27
B)39
C) 45
D)117
7.15 dan kichik va 15 bilan o’zaro tub bo’lgan sonlar yig’indisini toping. A)59 B)60 C)72 D)64 8. 1000
1003 ; 550 553 ; 50 53 c b a sonlarni o’sish tartibida joylashtiring. A)a 9.Quyidagi ifodalardan qaysi biri noto’g’ri.
A)
3 3 3 c b a abc B)
a a b 3 3
C) 5 5 5 :
a b a D)
a b a 4 4 10.x
1 va x
2 x 2 -5x+2=0 tenglamani ildizlari bo’lsa, x 1 4 +x 2 4 ning qiymatini toping. A)433 B)625 C)641 D)325 11.
18 9 3 4 3 4
b ab a bo’lsa, 2a+3b ning qiymatini toping. A)3 B)
9 C)
8 D)4
12.x 4 +2x 2 -3=0 tenglama nechta haqiqiy ildizga ega. A)0 B)4 C)1 D)2 13.
0 7 7 3
tengsizlikni yeching. A) ; 7 B)Ø C)
; D)R 14.
b a va b o a shartlarni qanoatlantiruvchi a va b sonlar uchun
ifodani soddalashtiring. A)-2a B)2b C)-2b D)0 15.Tenglama nechta ildizga ega 12 3 7 3 2 x x x
A) 0 B) 1 C) 2 D)3 16.Hadlari musbat sonlardan iborat geometrik progressiyaning 12- va 7- hadlari yig’indisi shu progressiyaning 10- va 5- hadlari yig’indisidan 9 marta katta bo’lsa, bu progressiyaning maxraji nechaga teng. A) 3 B) 3 9 C) 3 3 D)3 17.Durdona ikki yil oldin, Shoira ikki yil keyin tug’ilganida, Durdona Shoiradan 1,5 marta katta bo’lardi. Agar ularning hozirgi yoshlari yig’idisi 35 ga teng bo’lsa, Shoirani yoshi nechada. A)12 B)16 C)20 D)21 18.Uy bekasi bodomning kilosini 4000 somdan olib, uni tozalagach, og’rligining 20%i chiqindiga chiqib ketdi. Ayol bu savdodan 20% foyda qilishi uchun tozalangan bodomning kilosini necha so’mdan sotishi kerak. A)5200 B)6000 C)8000 D)3380 19.
5 2 3 2
y funksiyani qiymatlar sohasini toping. A) ; 5 B)
5 ; C) ; 2 D) 2 ;
20. 6 4 x x y funksiyani grafigi qaysi chorakdan o’tadi. A)I,III,IV B)I,II C)II,III,IV D)I,II,IV 21. 2
2 10 9 9 x x x tenglamani ildizini toping. A)2 B)1 C)3 D)ildizi yo’q 22.k ning qanday qiymatlarida
log 2 2 kx x y funksiyaning aniqlanish sohasi
; 5 2 ; dan iborat bo’ladi. A)3 B)-3 C)7 D)hech qanday qiymatida. 23.Hisoblang. 12 sin
12 7 sin A) 2 6 B) 2 C) 2 3
2 2
24.Hisoblang. 3 1 arccos
3 1 arccos A) B) 2 C) 0 D) 2 25. x tg tgx 4 1 tenglama
2 ; 0 kesmada nechta ildizga ega. A)4 B)3 C)5 D)6 26.Quyidagilardan qaysi biri
x x y 3 2 log 1 7 ning hosilasiga teng. A) 3
7 2
x B) 7 2 log 3 ln 1 7 3 2 x x x x x
C) 7 2 1 7 log 2 3 x x x x
D) 3 ln 1 7 log
7 2 2 3 x x x x x
27. 11 6 4 2
x x tenglama nechta ildizga ega. A) 1 B)2 C)0 D)3 28.ABC uchburchakda A burchagi 75 0 va B
burchagi 60 0 . Agar AB tomon uzunligi 6 ga teng bo’lsa, AC tomon uzunligini toping. A) 6 2 B)
3 2 C) 6 3 D)4 3
29.ABC to’g’ri burchakli uchburchakda BD bissektrisa. D nuqtadan AB tomonga parallel o’tkazilgan chiziq BC gipotenuzani E nuqtada kesib o’tadi. Agar AB=12 va BC=20 bo’lsa, BDE uchburchakning yuzini toping. A)18,5 B)24 C)16 D)22,5 30.Diagonallar soni tomonlari sonidan42 taga ortiq ko’pburchakning ichki burchaklari yig’indisi nechaga teng. A)2160 0
0 C)1800 0 D)1620 0
31. ABCD parallelogrammning D burchagi 105 0 . BE esa AD tomonga tushirilgan balandlik va AE=2DE. Agar DC=16 bo`lsa, parallelogrammning yuzini toping. A) 192 B) 108 C) 90 D) 96 32. Tomoni 10 ga teng bo`lgan ABCD kvadratning BC tomondan E, CD tomondan F nuqta olindi. Agar DF=FC va BE=EF bo`lsa, CE kesma uzunligini toping. A) 6,25 B) 3,75 C) 8 D) 6 33. Aylanadan tashqaridagi P nuqtadan ikki kesuvchi o`tkazilgan. Birinchi kesuvchi A va B nuqtalardan, ikkinchi kesuvchi esa C va D nuqtalardan o`tadi. PA=2x, AB=x, PC=x+6 va CD=2x+6 bo`lsa, x ni toping. A) 18 B) 12 C) 16 D) 9 34. Muntazam ko`pburchakning tomoni a ga, unga ichki chizilgan aylana radiusi r ga teng bo`lsa, tashqi chizilgan aylana radiusini toping. A) aniqlab bo`lmaydi B) a 2 r
C) 4 2 2 a r D) 4 2 2 a r
35. 47 8 2 2 2 y x y x tenglama bilan berilgan aylananing eng katta vatari uzunligini toping.
A) 16 B) 8 C) 12 D) 14 36. Parallelogrammning tomonlari ) 1
3 ( ) 1 ; 4 ( b va a vektorlardan iborat. Shu parallelogrammning yuzini toping. A) 10 B) 7 C) 17 D) 11 Ism________________________
Familya____________________
1. 7. 13. 19. 25. 31. 2. 8. 14. 20. 26. 32.
3. 9. 15. 21. 27. 33. 4. 10. 16. 22. 28. 34.
5. 11. 17. 23. 29. 35. 6. 12. 18. 24. 30. 36. Download 193.44 Kb. Do'stlaringiz bilan baham: 
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