Namangan viloyat xalq ta’limi boshqarmasi Viloyat metodika markazi
Download 386.63 Kb. Pdf ko'rish
|
olimpiada testlari toplami
- Bu sahifa navigatsiya:
- 9-sinf 5-variant
9-sinf 4-variant 1. y=2 x va y= 3 6x funksiyalar grafiklarining kesishish nuqtalaridan o'tuvchi to'g'ri chiziq tenglamasini toping. A) y=4,5x B) x y 3 8 = C) y=12x D) y=24x E) y=18x 2. 1, b 2
3 , ... , b 8 , 6561 sonlari geometrik progressiyani tashkil etadi. b 3 ni
toping. A) 9 B) 27 C) 81 D) 64 E) 54 3. 2001 2004
+ 2002 2005
yig'indini oxirgi raqamini toping. A) 3 B) 5 C) 7 D) 9 E) 1 4. Rombning diagonallari 10 va 24. Rombga ichki chizilgan doiraning yuzini romb yuziga nisbatini toping. A) 30 π:169 B) 35π:120 C) 36π:120 D) 25π:120 E) 49π:120 5. Tengsizliklar sistemasini teching: ⎩ ⎨ ⎧ > − ≤ − 0 4 , 0 10 2 6 2 x x
A) [2;4] B) (- ∞;4) C) (-∞;2] U [4; ∞) D) (-∞;4] E) (-∞;25) 6. 2, 2
2 , 2
3 , ... ,2
9 sonlarning o'rta geometrigini toping. A) 16 B) 32 C) 64 D) 128 E) 1 7. (2a+3b)(2a+3b+2)-(2a-3b)(2a-3b-2) ifodani ko'paytuvchilarga ajrating. A) 2a(3b+1) B) 8a(3b+1) C) 4a(3b+1) D) 8b(2a+1) E) 4b(2a+1) 8. Ifodaning eng kichik qiymatini ko'rsating: (3a 2 +27)/a, a>0 A) 30 B) 27 C) 3 D) 18 E) 12 9. Agar x=8, y=2 2 bo'lsa, ) ( ) ( 3 / 1 3 / 1 3 / 2 3 3 / 2 3 / 1 3 / 1 3 2 3 3 2 y x y xy x y x y x y xy x y x + ⋅ + + − ⋅ − ⋅ + − + ifodaning qiymatini toping. A) 6 B) 8 C) 9 D) 4 E) 5 10. Hisoblang: 7 1
) 47 / 3 : ) 27 ( , 0 ) 72 ( , 0 3 2 5 ( ⋅ + ⋅
A) 23 B) 24 C) 16 D) 17 E) 27 11. 21 dan kichik ikki honali natural sonlar yig'indisini toping. A) 155 B) 165 C) 150 D) 160 E) 161 12. (x+2) 2 = -3/x tenglama nechta yechimga ega? A) 1 B) 2 C) 3 D) 4 E) yechimi yo'q 13. Ifodani soddalashtiring: 5 3 5 3 5 3 5 3 − + + + −
A) 14 B) 6 C) 7 D) 2 5 E) 5,5 14. Ifodani soddalashtiring: α α
α sin
1 cos
sin 1 cos + − − A) 1/cos
2 α B) tgα C) 2/ctgα D) 2ctgα E) To'g'ri javob yo'q 15. Ifodaning eng katta qiymatini toping: sin (x+ π/4)-sin(x-π/4) A) 2 B) 1 C) 2 D) 2 /2 E) 1/2 16. 2
> x x tengsizlikni yeching. A) x<0 B) x>0 C) x=0 D) x>2 E) to'g'ri javob yo'q 17. t ning qanday qiymatlarida x 2 -tx+9=0 tenglama yechimga ega emas? A) -3 18. To'g'ri burchakli teng yoqli uchburchakning gipotenuzasi 5 2 ga
teng. Uchburchakning yuzini toping. A) 10
2 B) 12,5 C) 10,5 D) 5 2 /2 E) 25 19. Uchburchakning tomonlari 3 см, 5 см va 6 см. Katta tomoniga tushirilgan mediananig uzunligini toping. A) 3 B) 2 2 C) 6 D) 2 E) 4 20. Muntazam sakkizburchakning ichki burchagining tangensi nechaga teng?
A) 3 B) - 3 C) 1 D) –1 E) 1/ 3 21. Hisoblang: 255 1
99 1 63 1 35 1 15 1 + + + + +
A) 7/51 B) 5/15 C) 2/25 D) 3/35 E) 7/40 22. Yig'indini hisoblang: 7 8 23 7 8 23 + + −
A) 7 B) 6 C) 8 D) 9 E) 5 23. Tenglamani yeching: ) 6 ( , 0 8 ) 680 ( , 1 ) 319
( , 0 ) 16 ( , 0 ) 3 ( , 0 = ⋅ + +
A) 4 B) 32 C) 2 D) 1 E) 16 24. t ning qanday qiymatlarida x 2 +(t-2)x+1/4=0 tenglamaning ikkala ildizi ham manfiy? A) t<2 B) t<1 C) t>2 D) t ≤-1 E) t>3 25.
0 2 3 ) 3 2 )( 1 ( 2 2 2 ≤ + + − + + + x x x x x x tengsizlik nechta butun yechimga ega? A) 5 B) 4 C) 3 D) cheksiz ko'p E) 2 26. |(x-6) 3 +28|=36 tenglama ildizlarining yig'indisini toping A) –2 B) 6 C) –6 D) 10 E) –10 27. (x+2)(x 2 +10x+25)
2 49
− ≤ 0 tengsizlikni qanoatlantiruvchi barcha butun sonlar yig'indisini toping. A) 25 B) 13 C) 20 D) 28 E) 21 28. ABC to'g'ri burchakli uchburchakning katetlar 8 va 10. C to'g'ri burchagi uchidan CE mediana va CD bissektrisa o'tkazilgan. CDE uchburchak yuzini hisoblang. A)
9 2 2 B) 7 2 2 C) 8 3 2 D) 5 2 3 E) 6 29. ABCD trapetsiyaning asoslari BC va AD ga teng bo'lib, uning dioganallari O nuqtada kesishadi. Agar, BO=2, DO=4 va BOC uchburchakning yuzi 6 ga teng bo'lsa, trapetsiya yuzini toping. A) 42 B) 48 C) 52 D) 54 E) 60 30. Radiusi 2 teng bo'lgan ikki doira umumiy vatarini uzunligi 2 ga teng. Bu doiralar umumiy qismining yuzini toping. A)
π-1 B) 1 2 − π C) π - 2 D) 2 1 2 − π E) 2 3 − π
31. k<0 bo'lsa, y=kx+3 funktsiya grafigi qaysi choraklardan o'tadi? A) 1;2 va 3 B) 1;2 va 4 C) 1 va 4 D) 2;3 va 4 E) 2 va 4 32. Tenglamaning eng katta va eng kichik ildizlari yig'indisining yarmini toping x
2 -4-|x|+3=0 A) 3/2 B) 2 C) 0 D) 1 E) 2,5 33. Hisoblang: 1-2+3-4+5-...-198+199-200 A) –50 B) –60 C) –100 D) –98 E) –101 34.
α=255 o burchakning radian o'lchovini toping. A) 7 π/5 B) 17π/12 C) 11π/8 D) 13π/9 E) 19π/15 35. Tengsizlikni yeching: 1<1-2x ≤3
A) 0 ≤x<1 B) 0 36. Proporsiyali tenglamani yeching:
7
6 : 3 2 1 : 5 4 2 = x
A) 4,8 B) 3,25 C) 4,4 D) 33/7 E) 32/7 37. а ning qanday qiymatlarida (x-1)(2x-1)=2x 2 -ax+1 tenglama ayniyatga aylanadi? A) 2 B) –3 C) 3 D) –2 E) –1 38. Tomonlari 1, 10 va 3 ga teng uchburchakka tashqi chizilgan doiraning yuzini toping. A) 5 π B) 2,5π C) 4π D) 3,5π E) 9π 39. Asoslari 7 va 13, o'tmas burchagi 135 о bo'lgan teng yonli trapet- siyaning yuzini toping. A) 60 B) 30 C) 10 3 D) 120 E) 136,5 40. Muntazam uchburchakning balandligi 12. Uchburchakka ichki chizilgan aylananing radiusini toping. A) 3 B) 4 C) 5 D) 6 E) 2 3
5-variant 1.
4 ) 2 ( : 4 2 8 3 3 / 1 3 / 2 3 / 1 3 / 4 + + + − +
a a a a ifodaning qiymatini a=64 da hisoblang. A) 9 B) 6 C) 12 D) 15 E) 8 2. a ning qanday qiymatlarida x 2 + ax+( a-2) kvadrat uchhad ildizlari x 1 2 +x 2 2 =3 shartni qanoatlantiradi? A) 1 B) 3 C) 0 D) 5 E) 4 3. Agar 25x 2 +16y 2 +9z
2 +3=10x+8y+6z bo'lsa, x+y+z ga teskari sonni toping. A) 60/47 B) 47/60 C) -60/47 D) -60/47 E) 1 4. Teng yonli trapetsiyada yon tomon va katta asos b ga, kichik burchak esa
α ga teng. Trapetsiyaning yuzini toping. A) 2b
2 sin
α B) b 2 sin2 α C) b 2 sin α/2 D) 2b 2 sin αsin(α/2) E) 2b
2 sin
αcos 2 ( α/2) 5. a(2;4) va b(3;-5) vektorlarga yasalgan uchburchakning yuzini toping. A) 11 B) 14 C) 26 D) 13 E) 14 6. Uchburchakning ikkita burchagi yig'indisi 72 о . Uchburchakning o'tkir burchagi bissektrisalari kesishishidan hosil bo'lgan o'tkir burchakni toping. A) 144
° B) 90° C) 72° D) 54° E) 36° 7. Hisoblang: 2 1
, 0 ) 125 , 1 ( ) 25 , 2 ( ) 2 / 3 ( 2 2 2 − ⋅ ⋅ − −
A) 1/8 B) 1/4 C) 0,5625 D) 0,5 E) 1 8. y=
) 9 /( ) 3 ( 2 − − x x funksiyaning aniqlanish sohasini toping. A) (- ∞;-3] U [3; ∞) B) (-∞;-3) U (-3;3) U (3; ∞) C) (- ∞;∞) D) (-∞;-3) E) (-3;3) 9. x 2
A) 1 B) 2 C) 3 D) –3 E) –2 10. A(1;2) nuqtadan 8x-6y+5=0 to'g'ri chiziqqacha bo'lgan masofani toping. A) 0,1 B) 0,6 C) 8 D) 10 E) 0,5 11. y=2x 2 +4x-7 funksiyaning eng kichik qiymatini toping. A) –1 B) –9 C) –7 D) –11 E) -4,5 12. Agar 4x-y=-2 va 3x-2y=1 bo'lsa, x-y ko'paytmani toping. A) –3 B) –2 C) 4 D) 2 E) –6 13. 150 dan oshmaydigan 7 ga karrali barcha natural sonlar yig’indisini toping A) 1610 B) 1421 C) 1594 D) 1617 E) 1631 14. Ifodani soddalashtiring: cos ( π-α)cos(2π-α)+cos 2 α
A) 2cos 2 α B) 1 C) cos2α D) 0,5sin2α E) 0 15. x x y − + − = 2 4 2 funksiyaning aniqlanish sohasini toping. A) (- ∞;2) B) [-2;0] C) (-2;2) D) (-∞;-2] E) ∅ 16. Quyidagi sonlarni o'sish tartibida joylashtiring:
π
π
π
17. Tenglamani yeching: 0 2
sin = ⎟ ⎠ ⎞ ⎜ ⎝ ⎛ − π x
A) 3 2
π π
, n ∈
πn, n ∈
2 4
π π + , n ∈
D) πn/3, n ∈ N E) πn/6, n ∈
18. Tomonlari 32 va 24 bo'lgan to'g'ri burchakli to'rtburchakka aylana ichki chizilgan. Aylana uzunligini toping. A) 20
π B) 32π C) 40π D) 48π E) 80π 19. To'g'ri burchakli trapetsiyaning asoslari 6 va 12, katta yon tomoni esa 10 ga teng. Trapetsiyaning yuzini toping. A) 90 B) 72 C) 45 D) 36 E) 180 20. ABC uchburchakda AB=BC=10, AC=12. cos A -? A) 4/5 B) 5/6 C) 3/5 D) 3/4 E) 5/12 21. Hisoblang: 17 14 1 14 11 1 11 8 1 8 5 1 5 2 1 ⋅ + ⋅ + ⋅ + ⋅ + ⋅
A) 15/34 B) 5/17 C) 5/34 D) 16/173 E) 15/136 22.Soddalashtiring: 3 2 2 2 3 2 2 2 3 2 2 3 2 + + − + + + + + +
A) 1 B) 2 C) 3 D) 2 1
E) 2 2 +
23. Agar a-3b va 3, 3b-a va 4 sonlar berilgan tartibda proporsiya tashkil qilsa, (a 2 -b 2 )/(ab) ni hisoblang. A) 8/3 B) 7/3 C) 6/5 D) 9/5 E) 2 24. a ning qanday qiymatida x 2 +ax+a-2=0 tenglama ildizlari kvadratlarining yig'indisi eng kichik qiymat qabul qiladi? A) 1 B) 3 C) 2 D) –1 E) 4 25. k ning qanday qiymatlarida 2 1 1 3 − = + + k x x tenglama manfiy ildizga ega ? A) (3;5) B) (- ∞;3)U(5; ∞) C) (2;4) D) (1;3) E) (-∞;1)U(3; ∞) 26. |x-4|>|x+4| tengsizlikni yeching A) (-4;4) B) (0;4)U(4,+oo) C) (-4;+oo) D) (-oo;-4)U(-4;0) E) (-oo;0) 27. N ta sonning o'rta arifmetigi 13 ga teng, boshqa M ta sonning o'rta arifmetigi 28 ga teng bo'lsa, M+N ning o'rta arifmetigi nimaga teng? A) N/М B) (M+N)/N C) (13N+28M)/(M+N) D) (13M+28N)/(M+N) E) (13N+28M)/(M-N) 28. To'g'riburchakli uchburchakning gipotenuzasi 5 2 ga teng. Bunday uchburchak qanday eng katta yuzaga ega bo'lishi mumkin? A) 25 B) 20 C) 16,5 D) 15,5 E) 12,5 29. Teng yonli trapetsiyaning diagonallari o'zaro perpendikulyar. Agar trapetsiyaning o'rta chizig'i 6 ga teng bo'lsa, uning yuzini toping. A) 36 B) 32 C) 49 D) 40 E) 25 30. To'g'riburchakli uchburchak tomonlari 6, 8, 10 ga teng. Uchburchakka tashqi va ichki chizilgan aylanalar markazlari orasidagi masofani toping. A) 5 B) 3 C) 2 D) 6 E) 4 31.Quyidagi funksiyalarning grafigi qaysi chorakda kesishadi: y=x-2 va y=2x+1 ? A) 1 B) 2 C) 3 D) 4 E) kesishmaydi 32. Ikkita butun sonning yig'indisi -5, ko'paytmasi esa 6 ga teng. Shu sonlarning klichigini toping. A) –6 B) –5 C) –3 D) –2 E) –1 33. Tenglama ildizlarining ko'paytmasini toping: (4-x
− ⋅ 1 =0
A) –4 B) 2 C) 4 D) –2 E) 8 34. Hisoblang: 4cos45 °ctg60°tg60°-3sin45° A) 0,5 B) 2 /2 C) 1 D) 3 E) 3 /2 35. а ning qanday qiymatlarida (а-2)x 2 -2аx+2а-3=0 tenglama bitta ildizga ega bo'ladi? A) 2 B) 0 C) 1 va 6 D) -6; 1 va 2 E) 1; 2 va 6 36. c ning qanday qiymatlarida x 2 -4x+c=0 tenglama haqiqiy yechimga ega? A) c > 4 B) c ≤ 4 C) -2 ≤ c ≤ 2 D) c < 4 E) c = 2 37. Hisoblang: sin 4 (13
π/12)cos 4 (23 π/12) A) -0,5 B) - 2 /
C) - 2 / 3 D) –1 E) to'g'ri javob yo'q 38. a(-3;2) va b(4;k) vektorlar berilgan. k ning qanday qiymatlarida bu vektorlar perpendikulyar bo'ladi? A) 2 B) 0 C) 1 D) 6 E) 3 39. Rombning perimetri 40 sm, o'tmas burchagi 150 °
chizilgan doiraning yuzini toping. A) 25
π B) 6,25π C) 10π D) 9π E) to'g'ri javob yo'q 40. Oltiburchakda hammasi bo'lib nechta diagonal o'tkazish mumkin? A) 9 B) 5 C) 6 D) 7 E) 8
10-sinf 1-variant 1. |x| + |y| < 100 tengsizlik nechta har xil butun yechimga ega bo'ladi? A) 19801 B) 1000 C) 9000 D) 200 E) 19900 2. a = sin1 va b = log 3 7 sonlarni taqqoslang. A) a = b B) a > b C) a = b + 1 D) a < b E) taqqoslab bo'lmaydi 3. Hisoblang: o o
sin 2 10 sin 2 1 −
A) 1 B) 1/2 C) 1/4 D) 1,5 E) 1/3 4. Hisoblang: 3 2 13 5 arcsin arctg +
A) π/4 B) π/3 C) π/6 D) π/8 E) π/2 5.
) 2 ln( 5 6 ) ( 2 − − − − = x x x x f funksiyaning aniqlanish sohasini toping. A) [1:5] B) (2:5] C) (1:2) D) (2:3) U (3:5] E) (-oo:1) 6.
) 16 ( log 2 1 ) 1 ( x e e y − − − = funksiyaning grafigi qaysi choraklarda joylash- gan. A) II, III B) I, II C) I, II, III, IV D) III, IV E) I, IV 7. a ning qanday qiymatlarida y 1 = x 2 - 4x + 3a parabola y 2 = x
2 - 4x - a 2
A) (-oo: -3) U (0: oo) B) (-3: 0) C) [0: 3] D) [-3: 4] E) (0: 3] 8. Soddalashtiring: ) 5
ln( ) 5 6 14 ln( + +
A) 2/3 B) 2 C) 1/3 D) 1 E) 3 9. a 2 - b 2 = 23 tenglikni qanoatlantiruvchi nechta (a;b) butun sonlar juftligi bor? A) 1 B) 2 C) 4 D) ∅ E) 3 10. |x
2 - 4x + 1| = x tenglama nechta ildizga ega? A) 0 B) 2 C) 1 D) 3 E) 4 11.
0 16 5 1 4 85 2 = + − x x tenglamaning katta va kichik ildizlari kub- larining ayirmasini toping. A) –2 B) –1 C) 2 D) 1 E) 1/2 ( 85 - 6) 12. k ning qanday qiymatida ⎩ ⎨ ⎧ = + + + = − + 3 ) 1 ( 1 ) 1 ( 3
x k k y k x
tenglamalar sistemasi cheksiz ko'p yechimga ega bo'ladi? A) –1 B) –2 C) 0 D) 2 E) 1 13. x(x
2 + 4x + 4) 2 25 x − ≥0 tengsizlikni butun yechimlari yig'indisini toping. A) 15 B) 10 C) 8 D) 12 E) 0 14. N ta sonning o'rta arifmetigi 13 ga teng, boshqa M ta sonning o'rta arifmetigi 28 ga teng bo'lsa, M + N ning o'rta arifmetigi nimaga teng? A) N/M B) (M + N)/41 C) (13N + 28M)/(M + N) D) (13M + 28N)/(M + N) E) (13N + 28M)/(MN) 15. Soddalashtiring: sin 2 α + sin 2 β - sin
2 αsin
2 β + cos
2 αcos
2 β A) 1 B) 0 C) -1 D) –2 E) 2 16. sin 4 15 °+cos 4 15 ° yig'indini toping. A) 5/6 B) 2/3 C) 7/8 D) 5/7 E) 2/7 17. cos 2
2 1 - cos6 - cos4 ni soddalashtiring. A) 0 B) ½ C) -3/2 D) 1,5 E) 1 18. ABC to'g'ri burchakli uchburchakda AB - gipotenuza, AM va AN lar o'tkir burchaklarining bissektrisalari. Agar AB = 12, AM 2 + BN 2 = 169
bo'lsa, MN ning uzunligini toping. A) 5 B) 2,5 C) –28 D) 6 E) 4 19. Uchburchak ichida yotgan M nuqtadan uchburchak tomonlariga parallel to'g'ri chiziqlar o'tkazilgan, natijada umumiy uchga ega bo'lgan uchta uchburchak hosil bo'ladi. Agar ularning yuzlari 3; 12; 27 ga teng bo'lsa, berilgan uchburchakning yuzi nimaga teng? A) 84 B) 72 C) 108 D) 144 E) 96 20. Rombning perimetri 52 ga teng bo'lib, diagonallari uzunliklarining yig'indisi 34 ga teng. Romb yuzini toping. A) 30 B) 128 C) 32 D) 120 E) 24 21. Ikki parallel tekisliklarni birlashtiruvchi kesmalarning uzunliklari 2:3 nisbatda. Bu kesmalarning tekisliklar bilan hosil qilgan burchaklarining nisbati 2 ga teng bo'lsa, katta burchakning kosinusini toping. A) -3/2 B) 5/7 C) 1/3 D) -2/2 E) 1/8 22. Quyidagi sistema nechta yechimga ega: ⎩ ⎨ ⎧ = − = + 5 25 2 2 y x y x
A) 4 B) 3 C) 2 D) 1 E) 23 23. y = 5 1-sinx
- 2 funksiyaning eng kichik qiymatini toping. A) 4 B) 3 C) –1 D) –2 E) mavjud emas 24. а ning shunday qiymatlari yig'indisini topingki, unda (a-2)x 2 -2ax+2a-3=0 tenglama bitta ildizga ega bo'lsin. A) 7 B) 5 C) 9 D) 10 E) -3 25. Quyidagi tenglama nechta ildizga ega: 2 2
2 4 14 10 5 7 6 3
x x x x x − − = + + + + + A) 4 B) 2 C) 2 D) 1 E) ∅ 26. Tengsizlikni yeching: |x - 5| ≤ |x + 5|. A) (-
∞; 5) B) (0; 5] C) [-5; 5] D) [0; ∞) E) (-∞;∞) 27. x ni 6 ga bo'linganda 3 qoldiq qoldi. 3x ni 6 bo'linganda necha qoldiq qoladi? A) 0 B) 1 C) 2 D) 3 E) 4 28. Ikki toq sonning yig'indisi 5 ga qoldiqsiz bo'linadi. Bu sonlarning kub- lari qanday raqam bilan tugaydi? A) 8 B) 6 C) 5 D) 4 E) 0 29. To'rtburchakning burchaklari orasidagi nisbat 2:3:3:4 bo'lsa, uning eng katta burchagini toping. A) 100
о B)120
о C)
135
о D)
150
о E)
160
о
30. To'g'ri burchakli uchburchakning katetlari 30 va 40. Gipotenuzaga tushirilga medianani toping. A) 15 B) 18 C) 20 D) 25 E) 35 31 Agar α-yettiburchakning ichki burchaklari yig'indisi bo'lsa, cosα ni hisoblang. A) 0 B) 1 C) –1 D) -2/2 E) -1/2 32. Quyidagi tenglamaning ildizlari o'rta arifmetigini toping: 8x-2x 2 -x 3 =0
A) –1 B) 1 C) 2/3 D) -2/3 E) 4 33. Agar 2cos= - 3sin= = 0 bo'lsa, cos2= ni toping. A) 4/9 B) 5/16 C) 5/13 D) 9/16 E) to'g'ri javob yo'q 34. |x-2| ≤5 tengsizlikni barcha butun yechimlari yig'indisini toping. A) 20 B) 18 C) 22 D) 24 E) to'g'ri javob yo'q 35. x ning qanday qiymatlarida y = 4x - x 2 funksiya kamayadi? A) [0; 2] B) [2; +oo) C) (-oo; -2] D) [0; 4] E) [4; +oo) 36. Hisoblang: 60 2 - 59
2 + 58
2 - 57
2 + ... + 2 2 - 1
2 . A) 1850 B) 980 C) 1230 D) 1830 E) 2460 37. log x+1
(x 2
+ x - 6) 2
= 4 tenglamaning nechta ildizi bor? A) 4 B) 3 C) 2 D) 1 E) birorta ham yo'q 38. Quyidagi tenglamaning ildizlari ko'paytmasini toping:
0 8 2 9 4 2 2 2 2 = + ⋅ − + + x x
A) 1 B) –1 C) 2 D) –2 E) 4 39. Muntazam to'rtburchakli piramidaning balandligi 7 ga, asos tomoni 8 ga teng. Piramida yon qirrasini toping. A) –65 B) 9 C) 12 D) 13 E) 15 40. Aylananing markazi 6 ga teng. Aylana nuqtasidan diametrga tushirilgan perpendikulyar diametrni 1:3 nisbatda bo'ladi. Perpendikulyar uzunligini toping. A) 3-3 B) 3-2 C) 4 D) 3,6 E) 4,2
Download 386.63 Kb. Do'stlaringiz bilan baham: |
ma'muriyatiga murojaat qiling