9-sinf matematika 1- bosqich fan olimpiadasi uchun yozma topshiqriqlari 1-variant

9-sinf matematika 1- bosqich fan olimpiadasi uchun yozma topshiqriqlari

1-variant
1. Tengsizlikni yeching:

x(x+1)+10>(x+2)²+3

3x-4(x-7)≥16-3x

2. y=

Grafikni yasang.

3.30ⁿ⁺²+23ⁿ⁺¹+9ⁿ n ning har qаnday qiymatida 7ga bo’linishini isbotlang

4. Teng yonli uchburchakning asosidagi burchagi 20° uning yon tomoni va 2-yon tomoniga o’tkazilgan balandlik orasidagi burchakni toping.

5. Parallelogrammning dioganallari 4ga va ga teng. Ular 45° burchak ostida kesishadi. Parallelogrammning katta balandligini toping.

2-variant

1.a>b>0 bo’lsa,

Bo’lishini isbot qiling

2. Tenglamani yeching

(x²+6x)²+8(x²+6x)-9=0

3. Hisoblang:



4. ABCD trapetsiyaning BC kichik asosi 6sm balandligi 8sm gat eng. ACD uchburchakning yuzi 48sm² ga teng bo’lsa trapetsiyaning yuzini toping;

5. ABCD (AB II CD), trapetsiya O markazli aylanaga tashqi chizilgan. Burchak AOD 90⁰ ekanligini isbotlang:

Matematikafanidan 1- bosqicholimpiadatopshiriqlari 1-variant

1. Tenglamaniyeching: (2x+1)²-3(x-5)²=(x+3)(x-3) A)1 B)  C) Д) E).

2.(x²+5x+4)( x²+5x+6)=120 tenglamanihaqiqiyildizlariyig’indidisini toping. A)3 B)-3 C)-5 D)5 E)-4.

3. Tengyonliuchburchakuchburchakuchidagiburchagi80⁰ , yon tomonigatuchirilganbalandlikbilanasosiorasidagiburchakni toping:

A)35⁰ B)45⁰ C)30⁰ D)40⁰ E)50⁰ .

4. To’g’rito’rtburchakningikktauchidandioganaligatushurilganperpendikularvauningdiagonallari 3ta tengbo’lakkaajratadi. To’g’rito’rtburchakningkichiktomoni a gateng. Uningkattatomonini toping.

a)2a b)a c) a d)3a e)1.5a

5. 2x²-8≤0 tengsizlikniyeching. a)-2≤x≤2 b)-2
6. Parallelogrammningburchaklaridanbiri 150° gat eng.Uning 6ga tengdioganalitomonigaperpendikular,parallelogrammningparametrini toping. a)36 b)48 c)12(2+) d)36 e)36

7. Tengyonlito’g’riburchakliuchburchakkarombshundayichkichizilganki, ularningichkiburchagiumumiy, rombningqolganuchlariuchburchakningtomonlaridayotadi. Agar uchburchakningkatetigatengbo’lsa, rombningtomonini toping

a)  b)0,2 c)0,4 d) e)0,1

8. Qavariqto’rtburchakningichkiburchaklarivabittatashqiburchaklariyig’indisigateng. Ko’pburchaktomonlarisonini toping.

a)10 b)11 c)13 d)15 e)16

9. tenglamaninghaqiqiyildizlariyig’indisini toping: x⁶-65x³=-64 a)5 b)65 c)64 d)16 e)1

10. tenglamaningildizlariyig’indisini toping. (x+1)(x+2)(x+3)(x+4)=40 a)-6 b)0 c)-5 d)6 e)7

11. x⁴()x²+=0 tenglamaniildizini toping. a)2 b)4 c)1 d)0 e)3