11-sinflar uchun математика test.№1

11-sinflar uchun математика test.№1

1.Quyidagilardan qaysi biri noto`g`ri?

A) (f(x)+g(x))΄=f΄(x)+g΄(x)

B) c=const (c∙f(x))΄=c΄∙f΄(x) c-ozod son

C) (f(x)∙g(x))΄=f΄(x)∙g(x)+f(x)∙g΄(x)

D) (f(x)/g(x))΄=(f΄(x)∙g(x)-f(x)∙g΄(x))/g²(x)

2. f(x)=1/x funksiya grafigiga x0=1 absissali nuqtada o`tkazilgan urinma bilan Ox o`qi orasidagi burchakni toping ? A) –π/4 B) π/2 C)π/3 D) –π/6

3. Tenglama [0;5π] da nechta ildizga ega ? ctgx/(1+sinx)=0 A) 5 B) 4 C) 3 D) 2

4. Tenglamalar sistemasining 1-tenglamasi sinx∙cosy=-1/3

2-tenglamasi cosx∙siny=2/3

Ctg(x-y)=? A)0 B) 1 C) -0.5 D) 0.5

5. Arifmetik progressiyaning dastlabki nechta hadini olmaylik ularning yig`indisi hadlar sonining kvadratining uchlanganiga teng. 7-hadi? A) 25 B) 27 C)31 D)39

6. m ning qanday qiymatlarida (m∙x+9)/x≥-10 tengsizlikda x ning eng katta manfiy qiymati -3 ga teng bo`ladi? A)-9 B)-8 C) -7 D)-6

7. e ning ln(3x²-27) inchi darajasi kichik 21 dan tengsizlik nechta butun sonda o`rinli?

A) 8 B) 2 C) 6 D) 4

8. Tomonlari 1,2,3,4 bo`lgan to`rtburchakka ichki tashqi aylana chizilgan uning kichik dioganalini toping. A) 2.5 B) 2√2 C)√140/√11 D) √55/√7

9. Shar radiusi 6 ga teng. Radius uchidan u bilan 30º burchak tashkil qiluvchi tekislik o`tkazilgan. Shra bilan tekislik hosil qilgan kesimning yuzini toping?

A) 27π B) 8π C) 64π D) 25π

10. y=x√3+2 va y=-1/√3x+2 to`g`ri chiziqlarning kesishishidan hosil bo`lgan burchaklarni toping. A) 75º; 105º B) 65º 115º C) 90º;90º D) 60º;120º

11. y=x² parabolada A(2;0.5) nuqtaga eng yaqin nuqtani toping. A) (2;1) B) (1;1) C) (2;3) D) (1;2)

12. y va t uchun 0.09^(-y²)-2∙0.3^(-y²)∙cos2t+1=0 o`rinli bo`lsa sin((3ty)/2)=? A) -1/2

B) 1/2 C) 0 D) 1

13.Agar cosx=1/√10 bo`lsa (1+tg²x)(1-sin²x)-sin²x ni toping. A) 0.1 B) 0.2 C) 0.3 D) 2/√3

14. ABC uchburchakning AB,CA va BC tomonlarida M,P,N nuqtalar shu tomonlarni 1:2 nisbatda bo`ladi. Agar ABC uchburchak yuzi S bo`lsa, MNP uchburchak yuzi?

A) S/2 B) S/3 C) 2S/3 D) 2S/5

15.ABC uchburchakka ichki chizilgan aylanaga o`tkazilgan urinma BC va AC tomonlarni mos ravishta M va N nuqtalarda kesib o`tadi BC=5 AC=6 AB=7 bo`lsa MNC uchburchak perimetri? A) 4 B) 5 C) 3 D) 4.8