Algebra Yozma ish 1 – sinf 1- nazorat ishi variant

19. В(–3; 2; –5) nuqta Oxz tekislikdan qanday masofada yotibdi?

A) 2; B) 5; C) 3; D) 34 .

20. А(1; –2; 0), В(1; –4; 2), С(3; 2; 0) nuqtalar ABC uchburchakning uchlari.

CM mediana uzunligini toping.

A) 2√3; B) 3√2; C) 6 ; D) 18.

21. Agar a(1; m; 2) va b(0,5m+1; 3; 1) vektorlar kollinear bo‘lsa, m+n ni

toping.

A) 3; B) 5; C) –4; D) 9.

22. А(–1; –9; –3) va В(0; –2; 1) nuqtalar berilgan. vektorni koordinata

vektorlari (ortlar) bo‘yicha yoying.

A) (BA) = i + 9j – k ; B) (BA) = i – 9j + k ;

C) (BA) = –i – 9j – 4k ; D) (BA) = i + 9j – 4k .

23. А(1; –2; 2), В(1; 4; 0), С(–4; 1; 1) va D(–5; –5; 3) nuqtalar berilgan. АС

va ВD vektorlar orasidagi burchakni toping

A) 150°; B) 30°; C) 45°; D) 90°.

24. |a̅| = 6, |a̅+b̅| =11, |a̅–b̅| = 7 ekanligi ma’lum bo‘lsa, |b̅| ni toping.

A) 11; B) 18; C) 20 ; D) 7.

25. Asoslari ВС va АD bo‘lgan АВСD trapetsiya berilgan. Agar AB(–7; 4; 5),

AC(3; 2; –1), AD(20; –4; –12), М va N – mos ravishda АВ va СD tomonlar

o‘rtasi bo‘lsa, MN vektor koordinatalari yig‘indisini toping.

A) 1; B) 2 ; C) 3; D) 4.

5 nazorat ishi.1 variant

1. Uchburchakli muntazam piramidaning balandligi 4 ga, asosining balanligi esa 4,5 ga teng. Pirmidaning yon qirrasini toping.

2. To’rtburchakli muntazam piramidaning balandligi 15 ga, dioganali kesimining yuzi120 ga teng. shu piramidaning hajmini toping.

3. To’rtburchakli muntazam kesik piramidaning asoslari 3 sm va 5 sm, dioganali 9 sm. Kesik piramidaning balandligini toping.

4. konus asosining radiusi 6 ga, balandligi 8 ga teng. konus yoyilmasining uchidagi burchagini toping.

5. Konusning yon sirti 96 ga teng. Shu konus balandligining o’rtasidan unga perpendikulyar tekislik o’tkazish natijasida hosil bo’lgan kesik konusning yon sirtini toping.

2 variant

1. Uchburchakli muntazam piramidaning balandligi 8 ga, asosining balanligi esa 4,5 ga teng. Pirmidaning yon qirrasini toping.

2. To’rtburchakli muntazam piramidaning balandligi 30 ga, dioganali kesimining yuzi 240 ga teng. shu piramidaning hajmini toping.

3. To’rtburchakli muntazam kesik piramidaning asoslari 6 sm va 10 sm, dioganali 18 sm. Kesik piramidaning balandligini toping.

4. konus asosining radiusi 3 ga, balandligi 4 ga teng. konus yoyilmasining uchidagi burchagini toping.

5. Konusning yon sirti 48 ga teng. Shu konus balandligining o’rtasidan unga perpendikulyar tekislik o’tkazish natijasida hosil bo’lgan kesik konusning yon sirtini toping.

6 - nazorat ishi 1 – variant

1. Sharning katta doirasi yuzi 16 ga teng. shar sirtining yuzini toping.

2. Sharga tashqi chizilgan kubning hajmi 8 ga teng. sharning radiusini toping.

3. O’q kesimi kvadratdan iborat silindrga ichki chizilgan sharning hajmi ga teng. Silindrning yon sirtini toping.

4. Sharga ichki chizilgan konusning asosi sharning katta doirasiga teng. Konus o’q kesimining yuzi 9 ga teng. sharning hajmini toping.

5. sharga ichki chizilgan konusning o’q kesimi teng yonli to’g’ri burchakli uchburchakdan iborat. Konus hajmi shar hajmining qanday qismini tashkil etadi?

6- nazorat ishi 2 – variant

1. Sharning katta doirasi yuzi 4 ga teng. shar sirtining yuzini toping.

2. Sharga tashqi chizilgan kubning hajmi 8 ga teng. sharning radiusini toping.

3. O’q kesimi kvadratdan iborat silindrga ichki chizilgan sharning hajmi 18 ga teng. Silindrning yon sirtini toping.

4. Sharga ichki chizilgan konusning asosi sharning katta doirasiga teng. Konus o’q kesimining yuzi 16 ga teng. sharning hajmini toping.

5. sharga ichki chizilgan konusning o’q kesimi teng yonli to’g’ri burchakli uchburchakdan iborat. Konus hajmi shar hajmining qanday qismini tashkil etadi?