317) burchakni gradus o`lchovida ifodalang.
318) ni hisoblang
319) 3cos2x +sin2x+5 sinx cosx = 0 tenglamani yeching.
320) tenglama ildizlarining o`rta arifmetik qiymatini toping.
321) 9x+1=3x+1+3x-1 va 22x+1=2,5*2x tenglamalar teng kuchlimi?
322) Ifodani soddalashtiring
323) 4x-5*2x+6=0 tenglama katta ildizning kichik ildiziga nisbatini ko`rsating
324) arcsin x = bo`lsa, arcos x ni toping
325) log3(x+1) + log3(x+3) = 1 Tenglamani yeching
326) Agar bo’lsa , , ni hisoblang.
327) Muntazam oltiburchakka tashqi chizilgan aylananing radiusi 12ga teng bo’lsa, oltiburchakning kichik diagonalini toping.
328) АВС uchburchakda ga teng. A uchidan tushirilgan balandlik uzunligini toping.
329) Bir nuqtadan tekislikka 4 va 8 uzunlikdagi og’malar o’tkazilgan. Agar ularning proyeksiyalari nisbatlari 1:7 bo’lsa, nuqtaning tekislikkacha masofasi qanchaga teng bo’ladi?
330) Aylanaga tashki chizilgan teng yonli trapetsiyanig asoslari 54 va 24 ga teng. Aylananing radiusini toping.
331) Kesma uchlarining koordinatalari A (1;-2,4) va B (3;-4,2). Kesma o’rtasining koordinatasini toping.
332). у = 0,5 х + 6 chiziqli funksiya berilgan. Agar х = -1,5 bo’lsa y ning qiymatini toping.
333). у = -3 х + 1,5 chiziqli funksiya berilgan. Agar у = -7,5 bo’lsa x ning qiymatini toping
334). Tenglamalar sistemasini yeching:
335). х+у ning yigindisini toping, agar bir juft son (х; у) tenglamalar sistemasining yechimi bo’lsa
336). Tengsizlikni hadma-had qo’shing: 6 > -1 и 3 > 2
337). Tengsizliklarni ko’paytiring: и
338). Tengsizlikni yeching: 12 + 6x 27 + x.
339). Tengsizlikni yeching: 12(3x –1) – 18(2x + 2) > 2
340). Tengsizliklar sistemasini yeching:
341). Ildizni qiymatini toping.
342). Ifodani soddalashtiring:
343). Tenglamani yeching: 5x2–13x + 6 = 0
344). Tenglamani ildizini toping: 8x(1 + 2x) = - 1.
345). Ildizlari -8 va -2. ga teng bo’lgan kvadrat tenglama tuzing.
346). Ko’paytuvchilarga ajrating: х3 –3х2+ 2х.
347). Tenglamalar sistemasini yeching:
348). Bikvadrat tenglamani yeching: х4 –13х2 + 36 = 0.
349). To’g’ri to’rtburchakning tomonlari 25 sm va 60 sm. Uning diagonalini toping.
350). Uchburchakning uchta tomoniga 4, 13,15 ko’ra uchburchakning yuzini toping .
351). Doiraga ichki chizilgan АВС burchak 70о ga teng. AB yoyning qiymatini toping, agar ВC yoy 130о ga teng bo’lsa.
352). АС va BД vatarlar kesishadi. САД burchakni toping, АВД burchak 40о ga , АДС burchak 70о ga teng bo’lsa.
353). To’g’ri burchakli uchburchakning katetlari 5 sm va 12 sm. Uchburchakka ichki chizilgan aylanani radiusini toping.
354). To’g’ri burchakli uchburchakning kateti 7 sm va gipotenuzasi 25 sm, tashqi chizilgan doiraning radiusini toping.
355). Vektor m(-2;1), vektor n(-3; -4) berilgan. а·b ko’paytmasini toping..
356).Vektor а(-1; -2), vector b(2;5) berilgan. 3а + b vektorning koordinatalarini toping.
357). y=x2 parabolaning y=2x to’g’ri chiziq bilan kesishish nuqtasining koordinatalarini toping.
358). y=x2-3x+2 funksiyaning OX o’qi bilan kesishish nuqtalarining koordinatalarini toping .
359). x2- 16< 0 tengsizlikni yeching
360). Ifodani soddalashtiring: ;
361). Hisoblang: .
362). Funksiyaning aniqlanish sohasini toping :
363). Funksiyalarning qaysilari juft funksiyalar?
1). 2) 3) 4)
364). 2 π/ 3 radianli burchakni gradusda ifodalang.
365). Ko’paytmaning qaysi biri musbat?
A) sin2cos2sin1sin10 B) tg80ctg8ctg100 C) sin90sin9cos90cos9
D) cos100cos10 cos110cos√11 E) tg7,50tg7,5ctg30ctg3
366).cosα=0,6 bo’lsa, sinα ni toping 0< α< π/2
367). Hisoblang : .
368). Soddalashtiring:
369). Arifmetik progressiyada bo’lsa, uning dastlabki 50 ta hadi yig’indisini toping.
370). Arifmetik progressiyada d=-3 va bo’lsa, uning birinchi hadini toping.
371). Geometrik progressiyada bo’lsa, progressiyaning hadlari soni n ni toping.
372). Agar geometrik progressiyada =9 va b6=20 bo’lsa , uning 5-hadini toping.
373). -25; -5; -1 cheksiz kamayuvchi geometrik progressiya yig’indisini toping.
374). O’xshash uchburchaklarning perimetrlari nisbati nimaga teng?
375). Ikkita o’xshash ko’pburchak uchun noto’g’ri tasdiqni toping:
A) Perimetrlari nisbati tomonlar nisbatiga teng; B) Yuzlarini nisbati tomonlar nisbatining kvadratiga teng; D) Ularning burchaklari soni teng; E) Perimetrlari nisbati o’xshashlik koeffitsentining kvadratiga teng.
376). Cos 600 nimaga teng?
377). AgarAB=6cm, AC= 4cm, 0 bo’lsa, ABC uchburchak yuzini toping. 378). Aylanaga ichki chizilgan muntazam ko’pburchakning bir tomoni aylanadan 180 ga teng yoy ajratadi. Ko’pburchakning nechta tomoni bor?
379).Tomoni 7sm bo’lgan kvadratga tashqi chizilgan aylananing radiusini toping.
380). Uzunliklari 2sm va 8 sm bo’lgan kesmalarning o’rta proporsionali nimaga teng?
381). Yarim aylanadagi C nuqtadan AB diametrga tushirilgan CD perpendikulyar AB kesmada 6 va 24 ga teng kesmalar ajratadi. CD kesmani toping.
382). Parabola uchining kordinatalarini toping: y=(x-2)2-4.
383). y=2x2 funksiyaning o’sish oralig’ini ko’rsating.
384). tengsizlikning butun yechimlari yig’indisini toping
385). Hisoblang:
386). Soddalashtiring: 13*23-9*23+23
387). Funksiyaning aniqlanish sohasini toping: y=
388). Funksiyalarning qaysilari toq funksiya?
1) y=6x 2) 3) y=4x+7 4) y=2x2-10.
389). 450 li burchakning radian o‘lchovini toping.
390). Ko‘paytmaning qaysi biri manfiy?
A) cos314osin147o B) tg200octg201o C) cos215o cos295o D) sin170octg250o E) cos215otg315o
391). Soddalashtiring: .
392). bo‘lsa, ni toping.
393). Agar va bo‘lsa, ni toping.
394). 7, 9, 11, … , - arifmetik progressiyaning 12- hadini toping.
395). Agar arifmetik progressiyada , n=8 bo‘lsa, uning dastlabki 10 ta hadining yig‘indisini toping.
396). Geometrik progressiyada bo‘lsa, uning mahrajini toping.
397). Agar geometrik progressiyada , q=2 bo‘lsa 6-hadini toping.
398).Cheksiz kamayuvchi geometrik progressiyada , bo‘lsa,progressiyaning yig’indisini toping.
399). Ikkita o’xshash uchburchak yuzlarining nisbati nimaga teng?
400). Ikkita o’xshash ko’pburchak uchun noto’g’ri tasdiqni toping:
A) Ularning tomonlari soni teng; B) Ularning burchaklari soni teng;
C) Perimetrlari nisbati o’xshashlik D) Mos tomonlari proportsional
koeffitsentlariga teng
E) Yuzlarining nisbati o’xshashlik koeffitsentlariga teng.
401). tgα=√3 bo’lgan α o’tkir burchakni ko’rsating
402). To’g’ri burchakli uchburchakning bir burchagi 300ga, shu burchak qarshisidagi katet 2√3 ga teng. Uning gipotenuzasini toping.
403). Istalgan muntazam ko’pburchak uchun noto’g’ri tasdiqni toping
A) Ichki aylana chizish mumkin; B) Diagonallari teng;
C) Tashqi аylana chizish mumkin; D) Tomonlari teng;
E) Burchaklari teng.
404).Radiusi 5sm bo’lgan aylanaga ichki chizilgan muntazam oltiburchakning perimetrini toping.
405).Uzunliklari 4 va 16 bo’lgan kesmalarning o’rta proporsionali nimaga teng?
406). Yarim aylanadagi C nuqtadan AB diametrga tushirilgan CD perpendikulyar AB kesmada 4 va 9 ga teng kesmalar ajratadi. CD kesmani toping.
407). ning shundaz qiymatini topingki, 2 parabola bilan y=5x+1 to`g`ri chiziqning kesishish nuqtalaridan birining absissasi x=1bo`lsin .
408). ning shundaz qiymatini topingki, 2 parabola bilan y=2x+b to`g`ri chiziqning kesishish nuqtalaridan birining absissasi x=1bo`lsin .
409). k ning shundaz qiymatini topingki, 2 parabola bilan y=kx-6 to`g`ri chiziqning kesishish nuqtalaridan birining absissasi x=2bo`lsin .
410).. y=x2-2x+4 Parabolaning koordinata o`qlari bilan kesishgan nuqtalarining koordinatalarini toping.
411).y=-x2-4x-5 Parabolaning koordinata o`qlari bilan kesishgan nuqtalarining koordinatalarini toping.
412).y=6x2-5x+1 Parabolaning koordinata o`qlari bilan kesishgan nuqtalarining koordinatalarini toping.
413).y=-x2+6x+7 Parabolaning kordinata o`qlari bilan kesishgan nuqtalarining koordinatalarini toping.
414).y=x2-4x.Parabola uchining koordinatalarini toping.
415).y= +2x. Parabola uchining koordinatalarini toping.
416).y= x2+6x+5.Parabola uchining koordinatalarini toping.
417).Tengsizlikni yeching
2 x2-8 0
418).-3 x2+27 0 Tengsizlikni yeching.
419).3x2-9 0 Tengsizlikni yeching
420). x2+7x 0 Tengsizlikni yeching
421). x2+3x 0 Tengsizlikni yeching
422).Ikkita o`xshash uchburchak uchun noto`g`ri tasdiqni toping?
a)yuzlari nisbati o`xshashlik koefisentiga teng
b)Mos medianalar nisbati o`xshashlik koefisentiga teng
c)mos bissektrisalar nisbati oxshashlik koefisentiga teng
d)mos balandliklar nisbati o`xshashlik koefisentiga teng
423).Ikkita geometrik ko`pburchak uchun to`gri tasdiqni toping
a)Ular teng
b)ular o`xshash
c) Ular teng dosh
d)yo`q
424).Uchburchak medianalari uchun noto`g`ri tasdiqni ko`rsating?
a)bir nuqtadan kesishadi
b)Kesishish nuqtasida 2/1 nisbatda bo`linadi.
c)o`zi tushgan tomoni qolgan 2 tomonga proporsianal kesma ajratadi
d)har bir uchburchakning tengdosh qismlarga ajratadi
425).Uchburchak bissektrisalari uchun to`gri tasdiq?
a)1 nuqtada kesishadi
b)kesishish nuqtasida 2:1 nisbatda bo`ladi
d)O`zi tushgan tomoni qolgan 2tomonga proporsianal kesma ajratadi
e)O`zi chiqqan uchdagi burchak teng 2 ga bo`linadi
426). Ikkita o`xshash ,ko`p burchak uchun noto`g`ri tasdiqni toping?
a)uni tomonlari soni teng?
b)ularni burchaklari soni teng
d)proporsianal
e)yuzalari nsbati o`xshashlik kofissentiga teng
427) 2 ta o`xshash ko`pburchak uchun to`g`ri tasdiq?
a)perimetrlar nisbati tomonlari nisbatiga teng
b)yuzlar nisbati tomonlar nisbatiga teng
d)yuzlar nisbati o`xshashlik koffisentiga teng
e)perimetrlar nisbati o`xshashlik kofiissenti kvadratiga teng
428).tomonlari a,b,c mos burchaklari α β yuzi S bo`lgan 3 burchak uchun qaysi fo`rmula noto`g`ri
a)a2=b2+c2-2bc cos ; B. /sin=b/ =c/sin/ ;
b)S=1/2 absin ;
d)S=1/2absin
e)S=1/2bcsin
429).Noto`g`ri fo`rmulani top?
a)sin2 +cos2 =1
b)sin(180o- )=sin
d)cos(180o- )=cos
e)sin(90o- )=cos
f)cos(90o- )=sin
430).Uchburchakning uchta tomoni ma`lum bo`lsa qaysi teoremadan foydalanib uning burchaklarini topamiz
431).(x+3)(x-4)>0 Tengsizlikni yeching
432).(x-1)(x+7)<0 Tengsizlikni yeching
433).6 x2+5x-6>0 Tengsizlikni yeching
434). -4x2+8x-3>0 Tengsizlikni yeching
435). Tengsizlikni yeching
436).Hisoblang:(-8)2-(-5)3-(12)-1.
437).Hisoblang: (-0.2)-3+(0.2)-2-(-2)-2.
438).Hisoblang: 439).Hisoblang:
440).Hisoblang:
441).Hisoblang:
442). Hisoblang: .
443). Hisoblang. .
444). Hisoblang. .
445). Hisoblang. .
446).To`g`ri javobni aniqlang .Istalgan aylana uzunligini shu aylana diametriga nisbati
a) aylanaga bog`liq
b) radiusga proporsianal
d) ga teng
e) radiusning kvadratiga proporsianal
447).Noto`g`risini toping. Istalgan doira yuzining uning radiusga nisbat
a) radiusga teng
b) radiusga proporsianal
d) diametrga proporsianal
e) o`zgarmas son
448).Istalgan muntazam ko`pburchak uchun noto`g`ri tasdiqni toping.
a) Ichki aylana chizish mumkin
b) diaganallari teng
d) tomonlaari teng
e) burchaklari teng
449). Noto`g`ri tasdiqni toping.
a) aylana yoyining uzunligi uning radius o`lchoviga proprsianal
b) doira sektorining yuzi sektorning gradus o`lchoviga proporsianal
d) doira yuzi radiusining kvadratiga proporsianal
e) segmentning yuzi uning yoyiga proporsianal
450). To`g`ri javobni toping. Doiraning vektori uni
a) 2ta segmentga
b) 2ta sektorga
d) 2ta yoyga
e) tengdosh sektorga
451).To`g`ri burchak uchburchakning gipotenuzasiga tushirilgan balandlik haqida noto`g`ri tasdiqni topìng.
a) katetlardan kichik
b) uchburchakni 2ta o`xshash uchburchaklarga ajratadi
d) katetlar gipotenuzasiga proyeksiyalari orasida o`rta proporsianal
e) gipotenuza yarmiga teng.
452).AB va CD vatarlar O nuqtada kesishadi.Noto`g`ri tasdiqni toping?
a) DAB= DCB
b) AOD va COB 3burchaklar o`xshash
d) AO.OB=CO.OD
e) AO=CO
453).To`g`ri tasdiqni toping.
a) teng kesmalar proyeksiyalari ham teng.
b) katta kesma proyeksiyasi ham teng
d) bir to`g`ri chiziqdagi teng kesmalarning proyeksiyasi teng
e) proyeksiya uzunligi proyeksiyalanuvchi kesma uzunligiga teng emas
454).To`g`ri burchakli uchburchakning gipotenuzasiga tushirilgan balandlik uni 2ta uchburchakka bo`ladi. Bu uchburchaklar
a) teng
b) tengdosh
d) o`xshash
e) teng yonli
455).Funksiyaning aniqlanish sohasini toping. y=
456). Funksiyaning aniqlanish sohasini toping. y= .
457). Funksiyaning aniqlanish sohasini toping y= .
458).Quyidagi funksiyalarning qaysilari o`suvchi.?
1)y=-x ; 2)y=-2/3 ; 3)y= ; 4)y= .
459). Quyidagi funksiyalarning qaysilari o`suvchi.?
1)y= ; 2) y= ; 3)y=-2x+7; 4) y=- .
460). Quyidagi funksiyalarning qaysilari pasayuvchi.?
1)y=-1/x ; 2)y=-3x+4; 3)y=x -27; 4)y= .
461). Quyidagi funksiyalarning qaysilari pasayuvchi.?
1)y= 2)y= 3)y= 4)y= ;
462).Funksiyalarning qaysilari juft funksiya.?
1)y=x+1/x 2)y=x + 3)y=-3+5/x 4)y=x -3/x.
463). Funksiyalarning qaysilari juft funksiya.?
1)y=3x -7x +5x +9. 2)y=(x+1)
3)y=1+4x 4)y= .
464). Funksiyalarning qaysilari toq funksiya.?
1)y=6x 2)y= 3) y=4x+7 4)y=2x -10.
465).153 ning radian o`lchovini toping.
466).0,65 ning gradus o`lchovini toping.
467).Kordinatalarining qaysi biri manfiy?
A)cos 314 sin 147 B)tg 200 C)cos 163 cos295 D)sin 170 E)cos 215 tg 315
468).Ko’paytmaning qaysi biri musbat?
A)sin 2cos 2sin 1sin 1 B)tg 8 ctg 8ctg 10 ctg ; C)sin 9 sin 9cos 9 cos 9 D)cos 10 cos 10cos 11 cos E)tg7.5 tg7.5ctg3 ctg3
469).( ; ) nuqtaga tushish uchun(1;0) nuqtani burish kerak bo’lgan barcha burchaklarni toping.
470).Tomonlari a,b,c bo`lgan uchburchakning ma medianasini quyidagi formulalardan qaysilari bilan hisoblash mumkin
a) ma=1/2
b) ma=1/2
d) ma=1/2
e) ma
471).To`g`ri javobni aniqlang .Istalgan aylana uzunligini shu aylana diametriga nisbati
a) aylanaga bog`liq
b) radiusga proporsianal
d) ga teng
e) radiusning kvadratiga proporsianal
472).Noto`g`risini toping. Istalgan doira yuzining uning radiusga nisbati
a) radiusga teng
b) radiusga proporsianal
d) diametrga proporsianal
e) o`zgarmas son
473).Istalgan muntazam ko`pburchak uchun noto`g`ri tasdiqni toping.
a) Ichki aylana chizish mumkin
b) diaganallari teng
d) tomonlaari teng
e) burchaklari teng
474). Noto`g`ri tasdiqni toping.
a) aylana yoyining uzunligi uning radius o`lchoviga proprsianal
b) doira sektorining yuzi sektorning gradus o`lchoviga proporsianal
d) doira yuzi radiusining kvadratiga proporsianal
e) segmentning yuzi uning yoyiga proporsianal
475). To`g`ri javobni toping. Doiraning vektori uni
a) 2ta segmentga
b) 2ta sektorga
d) 2ta yoyga
e) tengdosh sektorga
476).To`g`ri burchak uchburchakning gipotenuzasiga tushirilgan balandlik haqida noto`g`ri tasdiqni topìng.
a) katetlardan kichik
b) uchburchakni 2ta o`xshash uchburchaklarga ajratadi
d) katetlar gipotenuzasiga proyeksiyalari orasida o`rta proporsianal
e) gipotenuza yarmiga teng.
477).AB va CD vatarlar O nuqtada kesishadi.Noto`g`ri tasdiqni toping?
a) DAB= DCB
b) AOD va COB 3burchaklar o`xshash
d) AO.OB=CO.OD
e) AO=CO
478).To`g`ri tasdiqni toping.
a) teng kesmalar proyeksiyalari ham teng.
b) katta kesma proyeksiyasi ham teng
d) bir to`g`ri chiziqdagi teng kesmalarning proyeksiyasi teng
e) proyeksiya uzunligi proyeksiyalanuvchi kesma uzunligiga teng emas
479).To`g`ri burchakli uchburchakning gipotenuzasiga tushirilgan balandlik uni 2ta uchburchakka bo`ladi. Bu uchburchaklar
a) teng
b) tengdosh
d) o`xshash
e) teng yonli
480).(1;0)nuqtani 5 z. burchakka burishdan hosil bo`ladigan nuqtaning koordinatalarini toping.
481).Sonlarni o`sish tartibida yozing:a=sin1,57; b=cos1,58; c=sin3.
482).Sonlarni kamayish tartibida yozing:
a=cos2; b=cos20; c=sin2; d=sin20.
483).Hisoblang: sin136
484). Hisoblang: ;
485).Arifmetik progressiyada a1=3,d=-2 S101 ni toping.
486). Arifmetik progressiyada d=4, S50=5000 bo’lsa a1 ni toping.
487). Arifmetik progressiyada a1=1,a101=301 bo’lsa d ni toping.
488) Arifmetik progressiyada a2+a9=20 bo’sa ,S10 ni toping.
489). 8 ga bo’lganda 7 qoldiq beradigan ketma-ketlikni toping 5-hadini tiping .
490).701 soni 1.8,15,22… progressiyaning nechanchi nomerli hadi?
491). 1002,999,996… progressiyaning nechanchi nomerli hadidan boshlab, uning hadlari manfiy sonlar bo’ladi?
492). Arifmetik progressiyada a2+a6=44,a5-a1=20 bo’lsa a100 ni toping.
493).Arifmetik progressiyada a1=7, d=5, Sn=25450 bo`lsa, n ni toping.
494). Arifmetik progressiya a12+a15=20 bo`lsa, S26 ni toping.
495).Uzunligi A va B bo`lgan kesmalar o`rta proporsianali nimaga teng
496).Agar to`gri burchakli uchburchakning balandligi gipotenuzasini 6 sm va 5/4 sm kesmalarga ajratsa bu uchburchakning yuzini toping
497).C nuqtadan o`tkazilgan bir kesuvchi aylanani A va B 2-si esa D va E nuqtalarda kesadi.Agar CD=18 sm CB=4sm CA=8sm bo`lsa, AE kesma uzunligi?
498).Agar A(-5; ) B(-4;2 ) C (-2; ) D(0;2) bo`lsa ABCD to`rtburchakning diaganallari orasidagi burchakni top?
499).Agar parallegramning diagonallari 10 sm va 8 sm ga teng va ular orasidagi burchak 45obo`lsa parallelogramni tomonlari?
500).Radiusi 8 sm bo`lgan aylanaga ichki chizilgan muntazam oltiburchakning yuzi?
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