Matematika o‘qitish metodikasi fanidan testlar. #Matеmatika so‘zining lug‘aviy ma’nоsi qanday-?

-n =2, 4, 8, 10

-n =3, 4, 5, 6

-n =2, 4, 6, 8, 10, 12

#ABC uchburchakning AB va BC tomonlariga tushirilgan balandlik bu tomonlardan kichik emas. Uchburchakning burchaklarini toping.
+90^o, 45^o, 45^o
-60^o, 60^o, 60^o
-30^o, 30^o, 120^o
-30^o, 60^o, 90^o

#Muntazam ABC ucburchakning ichidan shunday O nuqta olinganki, AOB = 113^o, BOC = 123^o. Tomonlari OA, OB, OC kesmalarga teng bo’lgan uchburchakning burchaklarini toping.

+53^o, 63^o, 64^o
-30^o, 60^o, 90^o
-45^o, 45^o, 90^o
-43^o, 57^o, 80^o


#32^x+1=y² tenglamani qanoatlantiruvchi (x; y) butun sonlar juftligini toping.
+(0;2), (0;-2), (3; 5), (3, -5),(4; 7),(4,-7)
-(0; 2), (0; -2)
-(3; 5)
-(4; 7), (-4; 7)

#Hisoblang:

+1 +
-1
-
-2

#x² = y² + 2y + 13 tenglamani qanoatlantiruvchi (x; y) butun sonlar juftligini toping.

+(4;1), (4;- 3), (-4; 1), (-4; -3)

-(4; 1), (-4; 1)

-(4; -3), (-4; -3)

-cheksiz ko'p

#Tenglamani yeching:

+
-

-2

- 2

#Sonlarni taqqoslang: a = sin1 , b = log₃ .

+a < b

-a = b

-a > b

-a = b + 1

#x ning qanday qiymatlarida
ifoda musbat bo’ladi?
+
-(-; )
-(0; )
-(-; 0)


#n ning qnday qiymatlarida cosnx  sin x ning davri 3 ga teng?

+1, 3, 5, 15

-1, 3, 5, 15

-1, 2, 3, 4

-n = 5k

#Agar A, B, C uchburchakning burchaklari bo’lsa, shartni qanoatlantiruvchi a ning eng kchik qiymatini toping.

+a =

-a =

-a =

-a =

#y = 2sin²x + 4cos²x + 6sinx cosx funksiyaning eng katta va eng kichik qiymatini toping.
+
-–6; 6
-
-–4; 4

#Hisoblang:

+1
-
-
-

# funksiyaning eng katta qiymatini toping (a > 0, b > 0).

+
-
-ab
-

# ifodaning eng kichik qiymatini toping

(x  0)
+
-
-
-2

#ABC muntazam uchburchak ichidan ixtiyoriy P nuqta olinib, undan BC, CA va AB tomonlarga mos ravishda PD, PE va PF perpendikulyarlar tushirilgan.

ni hisoblang.
+1:
-1:1
-1:2
-2:1

#Agar teng yonli trapetsiyaning balanligi h, yon yomoni esa unga tashqi chizilgan aylana markazidan  burchak ostida ko’rinsa, trapetsiyaning yuzini toping.

+
-
-
-


#x² + 1 = log₃ (x +2) + 3 x tenglamaning nechta ildizi bor?
+2
-1
-3
-


#Hisoblang: sin 47^o + sin61^o – sin11^o – sin25^o
+ cos7^o
-1/2
-1
-1/2 cos7^o


#Hisoblang :
+1/4
-1/2
-1
-–1/2


#Hisoblang: cos 55^o  cos 65^o  cos 175^o
+
-
-
-


#Soddalashtiring:
+( /2) sin2
-(1/2) sin2
-sin2
-cos2

#Agar arctg a + arctg b + arctg c =  bo’lsa , a + b + c ni toping?

+abc
-
-ab/c
-0


#Hisoblang:
+ /4
- /3
- /6
- /8


#Hisoblang:
+ /2
- /4
- /3
- /6

# funksiyaning aniqlanish sohasini toping.

+(;  /2+],
-[;  /2+],
-(; /2+),
-[;  /2+),   


#Teng yonli uchburchakda r/R munosabat eng katta qiymatga ega bo’lsa, burchaklar qanday qiymatga ega bo’ladi (r, R – ichki, tashqi chizilgan aylanalar radiuslari)?
+teng tomonli
-to’g’ri burchakli
-uchidagi burchak 120^o
-aniqlab bo’lmaydi

#Uchburchakning balandliklari 12, 15 va 20 ga teng. Bu qanday uchburchak?

+to’g’ri burchakli
-o’tmas burchakli
-teng yonli
-o’tkir burchakli

#Berilgan kvadrat ichiga uchlari tomonlarda yotuvchi kvadrat chizilgan. Ularning yuzalarining nisbati 3:2 ga teng. Tomonlar orasidagi burchakni aniqlang.

+15^o
-30^o
-45^o
-60^o


#a ning qanday qiymatlarini ax² + 2(a +3)x + a +2 = 0 tenglama ildizlari nomanfiy?
+[-2,25; -2]
-[-2,1; -1]
-[1, 2]
-(-; -2]

#Agar a + b = 1 bo'lsa, a⁴ + b⁴ ning eng kichik qiymatini toping.

+1/8
-1/2
-1/4
-1/16
#a ning qanday qiymatlarida tengsizlik x ning barcha qiymatlarida o'rinli bo'ladi?
+–1
-–3
-–2
-a>0
# x² + y²+ 2x <1
x – y + a = 0 sistema yagona yechimga ega bo'ladigan a ning barcha qiymatlarini toping.
+a = 3; a = -1
-a = 3; a = 1
-a = -1
-a = 1

#Agar 2x + 4y = 1 bo'lsa, x² + y² ning eng kichik qiymatini toping.

+1/20
-1/10
-1
-1/5


#Hisoblang 1 + 2x + 3x² + 4x³ + …+ (n + 1) xⁿ ( x  1 )
+
-
-
-


#(4/5)^x = 4 tenglama yechimi qaysi oraliqda yotadi?
+(-; -1)
-(0; 1)
-[2; )
-(-1; 0)

#|x|  (x² – 4) = -1 tenglama nechta ildizga ega?

+4
-1
-2
-3

# tenglama nechta ildizga ega ?

+1
-
-2
-3

# tenglama nechta ildizga ega?

+1
-2
-3
-


#Hisoblang:
+19,5
-15,5
-7,5
-20,5

#Soddalashtiring:

+a
-1,5a
-3a
-2,5a


#Agar x² + 4xy + y² = 15 + 3xy, x + y =4 bo’lsa, xy=?
+1
-0
-2
-3

# > 1 tenglama nechta butun yechimga ega?

+6
-2
-3
-4

#Tengsizlikni yeching: |x² – 6| < 1

+
-
-
-


#tg  = 1 / 2, tg  = 2 / 3, tg  = 9 / 10, , ,  - o'tkir burchaklar bo'lsa,  ni  va  orqali ifodalang.
+ =  - 
- =  - 
- =  + 
- = 2 - 

#Agar a² + 9/a² = 22 bo’lsa, a – 3/a ni hisoblang

+1
- 4
-3
-–3

#Agar f(x+1) = 3 - 2x va f( )= 6x-3 bo'lsa, ni toping

+4 – 3x
-3x – 4
-4x + 3
-4x – 3

#Hisoblang:

+0
-sin20⁰
-
-cos28⁰

#Hisoblang: lg tg22⁰ + lg tg68⁰ + lg sin90⁰

+0
-1
-0,5
-0,6
#Hisoblang:
+5
-4
-3
-2


#y = x² funksiyaning grafigi vektorga parallel ko‘chirilgan bo’lsa, uning tenglamasini aniqlang.
+y = x² + 6x + 4
-y = x² + 5
-y = x² – 1
-y = x² +9

#Funksiyaning qiymatlar sohasini toping:

+[0; 1/2]
-[0; 1]
-[1/2; 1]
-[0; 2]

#Agar bo’lsa, ni toping

+
-
-
-


#(-; 2] oraliqda y = x² – 4x + 7 funksiyaga teskari funksiyani toping.
+2 -
-2 +
-2 
-2 +
#Funksiyaning qiymatlar sohasini toping:
+
-
-
-

#Tenglamani yeching: 9^x + 6^x = 2  4^x

+0
-1
-2
-0;1

# tengsizlikni eng katta butun yechimini toping.

+4
--2
-1
-3

#Funksiyaning aniqlanish sohasini toping:

-+(-3; 1)
-(-; 3)U (-2; )
-(-; -1)U (3; )
-(1; 3)

#Hisoblang:

+36
-16
-25
-32


#log₃₀8 ni lg5 = a, lg3 = b orqali ifodalang
+
-
-
-

#Ifodani soddalashtiring:

( a > 1)
+0
-5a
-–a²

-a

#Tengsizlikni yeching:

+(-; -1) U (-1; 0)
-(1/2;1)
-(-; 1/2)
-(-; 0)


#tg  =2 bo’lsa, ni hisoblang

+6/7

-3/4

-4/5
-7/8


#2sin6x(cos⁴3x – sin⁴3x)=sin kx tenglik doim bajariladigan k ning qiymatini toping
+12
-24
-6
-18

#Hisoblang:

+3 /4
- /2
- /6
- /2

# tenglamaning [360⁰; 450⁰] oraliqdagi ildizlari yig'indisini toping

+1170⁰
-495⁰
-1575⁰
-1255⁰

# tenglamani yeching

+ /4 + 2 n , n  Z
- /4 +  n, n  Z
-–  /4 +  n , n Z
- /4

#Tengsizlikni yeching:

+[0;/3] U[ 5/3;2]
-[0;  /2]
-[5 /3; 2]
-[/3;/2]U [3/2;5/3]

# tenglamaning [; 2] oraliqdagi ildizlari yig'indisini toping.

+17 /4
-
-3
-11 / 6

#Funksiyaning eng katta qiymatini toping: .

+4
-1 + e²
-3
-2,5


#k ning qanday qiymatlarida: f(x)=1–cos2x–kcos2x funksiya o'zgarmas bo'ladi?
+-1
-2
--2
-1,5

#Funksiyaning eng kichik qiymatini toping:

+-128
--14
--21
--64

# tenglamaning [-3;  ] oraliqdagi ildizlari yig'indisini toping.

+– 3
-– 2
-– 
-3 /2

#Tenglama nechta ildizga ega |x – 4| + |x – 1| + |x + 2| = 0

+1
-3
-2
-4

#Tenglamani yeching: log₂(3^2x – 26  3^x) = x

+3
-9
-6
-4

#Tengsizlikni yeching:

-(-2; -1) U (-1; 0) U (0; 1) U [2; )
-(-; -1] U [2; )
-(-; -1) U [2; )
-(-1; 2]

#Tenglamani yeching: 2^x-4 +2^x-2 +2^x-1 = 6,5 + 3,25 + 1,625 + …

+4
-2
-1
-0

#Tenglamani yeching:5^{x –3} –5^{x –4} –16 5^{x –5} =2^{x –3}

+5
-2
-3
-4,5

# tenglamani yechimlaridan biri 1. Ikkinchisini toping.

+– log₂6
-log₂3
-log₃6
-

#To’g’riburchakli uchburchakning gipotenuzasiga o‘tkazilgan balandlik va katetlarning gipotenuzadagi proyeksiyalari ayirmasi 6 ga teng. Gipotenuza uzunligini toping

+
-
-
-

#ABC to’g’riburchakli uchburchakning gipotenuzasiga CD balandlik o‘tkazilgan. Agar  B = 60⁰ va BD = 2 bo‘lsa, gipotenuza uzunligini toping.

+8
-9
-6
-7

#Gipotenuzasi 10 ga, katetlaridan biri 8 ga teng bo‘lgan to’g’riburchakli uchburchakning kichik burchagining bissektrisasini toping.

+
-
-
-

#Katetining uzunligi ga teng tengyonli to’g’riburchakli uchburchakning medianalari kesishgan nuqtasi bilan bissektrisalar kesishgan nuqtasi orasidagi masafoni toping.