Kvadrat tenglamalarni yechish uchun 6 ta test
Sinov
"Kvadrat tenglamalar"
8-sinf
Muallif: Mitina T.V.
matematika o'qituvchisi
Lebyazhevskiy filiali
Uvarovskiy tumanidagi MBOU Moiseyevo-Alabushskaya sosh
Tambov viloyati
2013 yil
Tushuntirish eslatmasi
Tematik test “To‘rtburchak tenglamalar” mavzusi bo‘yicha tuzilgan bo‘lib, 8-sinf o‘quvchilari uchun mo‘ljallangan. Ushbu testda mavjud bo'lgan topshiriqlar nafaqat "To'rtburchak tenglamalar" mavzusini ishlab chiqishga imkon beradi, balki talabalarga boshqa xarakterdagi vazifalarni ishonchli hal qilishni o'rganishga yordam beradi. Taqdim etilgan testning ahamiyati, shuningdek, ildizlarni topish bilan bog'liq vazifalar bilan bog'liq kvadrat tenglamalar GIA materiallarida topilgan. Test matematikani o'rganishga bo'lgan qiziqishi yuqori bo'lgan talabalar uchun ham, matematika bo'yicha bilimlarini yaxshilashga intilayotgan talabalar uchun ham foydali bo'lishi mumkin.
Maqsad: Kvadrat tenglamalarni yechish bo‘yicha bilim, ko‘nikma va malakalarni nazorat qilish va tekshirish.
Vazifalar: mavzu bo'yicha o'rganilgan materialni umumlashtirish;
O'rganilgan narsalarni qo'llash qobiliyatini rivojlantirishamaliyotda matematik bilimlar;
Talabalarni GIA shaklida imtihonlarga tayyorlash uchun juda dolzarb bo'lgan testlar bilan ishlash qobiliyatini shakllantirish;
Taqqoslash usullarini qo'llash, asosiy narsani ajratib ko'rsatishni umumlashtirish, bilimlarni yangi vaziyatga o'tkazish, matematik ufqlarni, fikrlash va nutqni, e'tibor va xotirani rivojlantirishga hissa qo'shish; rivojlantirish kognitiv faoliyat, Ijodiy qobiliyatlar;
Matematikaga qiziqishni rivojlantirish;
Matematik madaniyat darajasini oshirish.
Sinov beshta variantni o'z ichiga oladi. Vazifalar ikki darajaga bo'linadi: majburiy daraja (No 1 - No 6), unda javoblar tanlovi bilan to'rtta topshiriq, javob qayd etilgan bitta vazifa va bitta vazifa - to'g'ri bayonotni ko'rsating. Qo'shimcha daraja (№ 7 - No 10), unda javoblar tanlovi bilan uchta vazifa va yozishmalarni o'rnatish uchun bitta vazifa mavjud.
Testni yakunlash uchun 45 daqiqa vaqtingiz bor.
Baholash mezonlari
ish raqami
6 ball - "3" ball
9 - 12 ball - "4" ball
16 - 20 ball - "5" ball
Rejalashtirilgan natija
O'quvchilar bilishi kerak:
Kvadrat tenglamalarning barcha turlarining ta’riflari;
Kvadrat tenglamaning ildizlari uchun formulalar;
Vyeta teoremasi;
Kvadrat tenglama koeffitsientlarining xossalari.
O'quvchilar quyidagilarni bilishlari kerak:
Kvadrat tenglamalar va kvadratga qaytariladigan tenglamalarni yechish;
tenglama ildizlarining belgilarini aniqlash;
tenglamalar va tengsizliklarni yechish.
Variant I
1) Tenglama shaklga keltirildiOh 2 +in+s=0 , qayerda a, b, c ba'zi raqamlarX o'zgaruvchidir vaa ≠0 chiziqli tenglama deyiladi.
2) shaklga keltirilgan tenglama Oh 2 +in+s=0 , qayerda a, b, c ba'zi raqamlar X o'zgaruvchidir va a≠0 kvadrat tenglama deyiladi.
3) Tenglama shaklga keltirildiOh 2 +in+s=0 , qayerda a, b, c ba'zi raqamlarX o'zgaruvchidir vaa ≠0 kasr ratsional tenglama deyiladi.
2. Sonlardan qaysi biri x 2 + 2x - 3 = 0 tenglamaning ildizi hisoblanadi.
o'n bir; -3 2) –1; 3 3) bunday raqamlar yo'q. 4) 0; to'rtta
3. 5x 2 - 4x - 1 = 0 kvadrat tenglamaning diskriminantini toping.
1) 16 2)- 20 3) 36 4)16
4. 2x 2 + 3x - 5 = 0 tenglamaning eng katta ildizini toping.
1) –2,5 2) 1 3) –1 4) 2,5
5. m ning qaysi qiymatlari uchun x 2 + mx + 9 ifodani binomialning kvadrati sifatida ifodalash mumkin.Javob: _______
6. x 2 - x \u003d 0 tenglamasini yeching.
1) 0; 1 2) –1; 1 3) 0 4) 0; -1
7. Tenglama ildizlarining yig'indisini toping: 10x 2 - 3x - 0,4 \u003d 0.
1) ildiz yo'q 2) 0,3 3) 1 4) 0,6
8. Ushbu tenglamalar va ularning ildiz belgilari o'rtasidagi moslikni aniqlang: 1) x 2 - 5x + 3 \u003d 0 A) Ikkala ildiz ham musbat 2) x 2 + 8x - 6 \u003d 0 B) Ikkala ildiz ham manfiy 3 ) 2x 2 + 7x + 1 = 0 S) Har xil belgili ildizlar
9. X 2 + 5x + k = 0 kvadrat tenglamaning ildizlaridan biri -2 ga teng. k toping.
1) –2 2) –5 3) 6 4) 0
1) – 0,7 2) 2 3) 0 4) 0,75
Variant II
1. To‘g‘ri gapni ko‘rsating:
1) a =1, qisqartirilgan deb ataladi.
2) koeffitsienti bo'lgan kvadrat tenglamaa =1, kamaytirilmagan deb ataladi.
3) Koeffitsienti bo'lgan kvadrat tenglamaa =1, to'liq emas deb ataladi.
2. Raqamlardan qaysi biri 2x 2 + 5x - 3 = 0 tenglamaning ildizi hisoblanadi.
1) 3; 0,5 2) –0,5; -3 3) 0,5; -3 4) 1; 0
3. X 2 - 6x + 9 = 0 kvadrat tenglamaning diskriminantini toping.
1) 2 2) 9 3) 0 4) 36
4. 5x 2 - 7x + 2 = 0 tenglamaning eng katta ildizini toping.
1) 0,4 2) 1 3) –1 4) 2
5. m ning qaysi qiymatlari uchun x 2 - 2x - m ifodani binomialning kvadrati sifatida ifodalash mumkin.Javob: _______
6. 7x \u003d 4 x 2 tenglamasini yeching.
1) 0; - 1,75 2)1,4; 1,75 3) –3; 0 4) 0; 1,75
7. Tenglamaning ildizlari yig‘indisini toping: 7x 2 + 6x - 1 = 0.
1) 2) 1 3) – 0,5 4) –1
8. Ushbu tenglamalar va ularning ildiz belgilari o‘rtasidagi moslikni aniqlang: 1) -3x 2 + 6x + 1 \u003d 0 A) Ikkala ildiz ham musbat 2) -x 2 + 10x - 11 \u003d 0 B) Ikkala ildiz ham manfiy 3) 5x 2 + 17x + 5 = 0 C) Har xil belgili ildizlar9. 5x 2 - 7x + k \u003d 0 kvadrat tenglamaning ildizlaridan biri -2. k ni toping.
1) – 47,6 2) –53 3) 54 4) 30
(5 + 4x) 2 \u003d (9 - 21x) (4x + 5).
1) 2 2) – 0,2 3) 0,2 4) yechimlari yo‘q
Variant III
1. To‘g‘ri gapni ko‘rsating:
1) Diskriminant formulasi: D= ichida – 4as
2) Diskriminant formulasi: D= ichida 2 - 4a
3) Diskriminant formulasi: D= ichida 2 - 4a c
2. Raqamlardan qaysi biri 6x 2 + x = 0 tenglamaning ildizi hisoblanadi.
1) bunday raqamlar yo'q 2) 0; 
3) 0; 1 4) 2; 0
3. 3x - x 2 + 10 = 0 kvadrat tenglamaning diskriminantini toping.
1) 49 2) - 49 3) 9 4) 25
4. 3x 2 + 5x - 2 = 0 tenglamaning eng katta ildizini toping.
1) 2 2) 3) 4) 4
5. m ning qaysi qiymatlari uchun mx 2 - 12x + 9 ifodani binomialning kvadrati sifatida ifodalash mumkin.Javob: _______
6. x 2 + 5x + 6 = 0 tenglamani yeching.
1) - 2; - 3 2) 2; 3 3) 3; 0 4) 2; -3
7. x 2 + 12 = 7x tenglamaning ildizlari yig'indisini toping.
1) 7 2) - 7 3) ildiz yo'q 4) - 5
8. Ushbu tenglamalar va ularning ildiz belgilari o'rtasidagi moslikni aniqlang: 1) x 2 - 7x + 4 \u003d 0 A) Ikkala ildiz ham musbat 2) x 2 + 5x - 8 \u003d 0 B) Ikkala ildiz ham manfiy 3 ) 2x 2 + 9x + 1 = 0 S) Har xil belgili ildizlar
9. X 2 + kx - 16 = 0 kvadrat tenglamaning ildizlaridan biri -2 ga teng. k toping.
1) 10 2) 16 3) - 6 4) - 10
10. Tenglama ildizlarining ko‘paytmasini toping:
(1 - 2x) (4x 2 + 2x + 1) \u003d 8 (1 - x 2) (x + 2).
1) 3 2) 6,5 3) 0,76 4) 
Variant IV
1. To‘g‘ri gapni ko‘rsating:
1) Agar a D =0 , u holda tenglama bitta ildizga ega bo'ladi.
2) Agar D=0 , u holda tenglama ikkita ildizga ega bo'ladi
3) Agar a D =0 , u holda tenglamaning ildizlari yo'q
2. Qaysi raqamlar 6x 2 -5x - 1 \u003d 0 tenglamaning ildizlari hisoblanadi
1) –3; 2 2) 2; 4,2 3) 1; 4) - 2; 0
3. 2x + 3 + 2x 2 = 0 kvadrat tenglamaning diskriminantini toping.
1) 20 2) 10 3) 15 4) - 20
4. 5x 2 - 8x + 3 = 0 tenglamaning eng katta ildizini toping.
1) – 0,6 2) 0,5 3) 1 4) -1
5. m ning qaysi qiymatlari uchun x 2 - 14x + m ifodani binomialning kvadrati sifatida ifodalash mumkin.Javob: _______
6. 5x 2 + 8x - 4 = 0 tenglamani yeching.
1) 0,5; 2 2) 0,4; - 2 3) 0,5; 1 4) yechim yo'q
7. Tenglama ildizlarining yig‘indisini toping: 7x 2 + 5x \u003d 2 1) - 1 2) 7 3) ildiz yo‘q 4)
8. Ushbu tenglamalar va ularning ildiz belgilari o‘rtasidagi moslikni aniqlang: 1) -2x 2 + 3x + 1 \u003d 0 A) Ikkala ildiz ham musbat 2) -x 2 + 8x - 7 \u003d 0 B) Ikkala ildiz ham manfiy 3) 6x 2 + 13x + 4 = 0 C) Har xil belgili ildizlar9. 3x 2 + kx + 10 = 0 kvadrat tenglamaning ildizlaridan biri -2 ga teng. k toping.
1) 10 2) 12 3) 11 4) - 10
10. Tenglama ildizlarining ko‘paytmasini toping:
8 (x - 2) (x 2 - 1) \u003d (4x 2 - 2x + 1) (2x + 1).
1) – 15 2) 16 3) 4) yechimlari yo‘q
Variant V
1. To‘g‘ri gapni ko‘rsating:
1) Vyeta teoremasiga ko'raildizlarning yig'indisi tenglamalar X 2 +px+q=0 ga teng - R.
2) Vyeta teoremasiga muvofiq ildizlarning yig'indisi tenglamalar X 2 +px+q=0 ga teng q
3) Vyeta teoremasiga ko'raildizlarning yig'indisi tenglamalar X 2 +px+q=0 ga teng R
2. Raqamlardan qaysi biri 5x 2 - 8x + 3 = 0 tenglamaning ildizi hisoblanadi.
1) 0,6; 1 2) –1; 0,6 3) bunday raqamlar yo'q. 4) 0; 0,6
3. 2x 2 + 3x +1 = 0 kvadrat tenglamaning diskriminantini toping.
1) 4 2) 9 3) 3 4)1
4. x 2 (x - 4) - (x - 4) \u003d 0 tenglama ildizlari kvadratlari yig'indisini toping.
1) 18 2) 16 3) 4 4) 36
5. m ning qaysi qiymatlari uchun x 2 + mx + 121 ifodani binomialning kvadrati sifatida ifodalash mumkin.Javob: _______
6. -x 2 + 3 = 0 tenglamani yeching.
13; - 3 2) –√3; √3 3) 9; - 9 4) ildizlari yo'q
7. Tenglama ildizlarining yig‘indisini toping: 5x 2 + 3x - 8 = 0.
1) ildizsiz 2) 0,5 3) – 0,6 4) 1,6
8. Ushbu tenglamalar va ularning ildiz belgilari o'rtasidagi moslikni aniqlang: 1) x 2 - 5x + 6 \u003d 0 A) Ikkala ildiz ham musbat 2) x 2 + 4x - 11 \u003d 0 B) Ikkala ildiz ham manfiy 3 ) 3x 2 + 7x + 1 = 0 S) Har xil belgili ildizlar9. x 2 + k x - 35 = 0 kvadrat tenglamaning ildizlaridan biri 7. k ni toping.
1) –2 2) –5 3) 7 4) 0
10. Tenglama ildizlarining ko‘paytmasini toping: (3 - 2x) (6x - 1) \u003d (2x - 3) 2
1) – 0,7 2) 2 3) 0 4) 0,75
"To'rtburchak tenglamalar" mavzusidagi topshiriqlarga javoblar
Algebra test
Kvadrat tenglamalar 8-sinf
A) 2 B) 23 C) 4 D) 0
A) 12 B) 3 C) -3 D) -4
A) -3 B) -13 C) 3 D) 10
A) 4 B) -1 C) 2 D) 1
A) 2 B) -3 C) -2 D) 3
kalitlari
ish raqami
Kustova Lyudmila Anatolyevna
Algebra test
Kvadrat tenglamalar 8-sinf
1. Kvadrat tenglamalardan qaysi biri to‘liq:
A) 4x2-6x+8=0 B) 9x+9x2=0 C) -6x2=0 D) 9+x2=0
2. X2-4x+3=0 kvadrat tenglamaning diskriminanti:
A) 2 B) 23 C) 4 D) 0
5.Koeffitsientlarni tanlang -x2-3x+7=0
A) 1,-3,7 B) -1,-3,7 C) -1,-3,-7 D) -1,-3,-7
4. x2-3x-10=0 tenglamani yeching
A) Ildizsiz B) 2; -5 C) 6 D) -5; -2
5. 9x2-6x+1=0 tenglamani yeching
A) 1,3 B) 0; 3 C) ildizsiz D) 1/3
6 . Tenglama ildizlarining ko‘paytmasini toping: x2-4x+3=0.
A) 12 B) 3 C) -3 D) -4
7 . Tenglama ildizlarining yig‘indisini toping: x2-3x-10=0.
A) -3 B) -13 C) 3 D) 10
8 . ax2 + 3x-5 = 0 tenglamadagi a koeffitsientining qiymatini toping:
tenglamaning ildizlaridan biri 1 ga teng.
A) 4 B) -1 C) 2 D) 1
9. Koeffitsient qiymatini toping b , agar tenglamada x2+in-15=0 bo'lsa
Tenglamaning ildizlaridan biri -5 ga teng
A) 2 B) -3 C) -2 D) 3
10. 3x(x-5)=0 tenglamani yeching
A) 1,5 B) 0; 5 C) ildizsiz D) 3.5
kalitlari
ish raqami
Kustova Lyudmila Anatolyevna
"Oryol o'rta maktabi" MKOU matematika o'qituvchisi
P. Orlovka, Voronej viloyati, Xoxolskiy tumani
Algebra test
Kvadrat tenglamalar 8-sinf
1. Kvadrat tenglamalardan qaysi biri to‘liq:
A) 4x2-6x+8=0 B) 9x+9x2=0 C) -6x2=0 D) 9+x2=0
2. X2-4x+3=0 kvadrat tenglamaning diskriminanti:
A) 2 B) 23 C) 4 D) 0
5.Koeffitsientlarni tanlang -x2-3x+7=0
A) 1,-3,7 B) -1,-3,7 C) -1,-3,-7 D) -1,-3,-7
4. x2-3x-10=0 tenglamani yeching
A) Ildizsiz B) 2; -5 C) 6 D) -5; -2
5. 9x2-6x+1=0 tenglamani yeching
A) 1,3 B) 0; 3 C) ildizsiz D) 1/3
A) 12 B) 3 C) -3 D) -4
A) -3 B) -13 C) 3 D) 10
Tenglamaning ildizlaridan biri 1 ga teng.
A) 4 B) -1 C) 2 D) 1
Tenglamaning ildizlaridan biri -5 ga teng
A) 2 B) -3 C) -2 D) 3
10. 3x(x-5)=0 tenglamani yeching
A) 1,5 B) 0; 5 C) ildizsiz D) 3.5
kalitlari
Ish raqami 12345678910
AB B B D B C C AB
Kustova Lyudmila Anatolyevna
"Oryol o'rta maktabi" MKOU matematika o'qituvchisi
P. Orlovka, Voronej viloyati, Xoxolskiy tumani
Algebra test
Kvadrat tenglamalar 8-sinf
1. Kvadrat tenglamalardan qaysi biri to‘liq:
A) 4x2-6x+8=0 B) 9x+9x2=0 C) -6x2=0 D) 9+x2=0
2. X2-4x+3=0 kvadrat tenglamaning diskriminanti:
A) 2 B) 23 C) 4 D) 0
5.Koeffitsientlarni tanlang -x2-3x+7=0
A) 1,-3,7 B) -1,-3,7 C) -1,-3,-7 D) -1,-3,-7
4. x2-3x-10=0 tenglamani yeching
A) Ildizsiz B) 2; -5 C) 6 D) -5; -2
5. 9x2-6x+1=0 tenglamani yeching
A) 1,3 B) 0; 3 C) ildizsiz D) 1/3
6. Tenglama ildizlarining ko‘paytmasini toping: x2-4x+3=0.
A) 12 B) 3 C) -3 D) -4
7. Tenglama ildizlarining yig‘indisini toping: x2-3x-10=0.
A) -3 B) -13 C) 3 D) 10
8. A koeffitsientining qiymatini toping, agar ax2 + 3x-5 = 0 tenglamada bo'lsa:
Tenglamaning ildizlaridan biri 1 ga teng.
A) 4 B) -1 C) 2 D) 1
9. Agar x2+in-15=0 tenglamada bo'lsa, b koeffitsientining qiymatini toping
Tenglamaning ildizlaridan biri -5 ga teng
A) 2 B) -3 C) -2 D) 3
10. 3x(x-5)=0 tenglamani yeching
A) 1,5 B) 0; 5 C) ildizsiz D) 3.5
kalitlari
Ish raqami 12345678910
AB B B D B C C AB
Kustova Lyudmila Anatolyevna
"Oryol o'rta maktabi" MKOU matematika o'qituvchisi
P. Orlovka, Voronej viloyati, Xoxolskiy tumani
Algebra test
Kvadrat tenglamalar 8-sinf
1. Kvadrat tenglamalardan qaysi biri to‘liq:
A) 4x2-6x+8=0 B) 9x+9x2=0 C) -6x2=0 D) 9+x2=0
2. X2-4x+3=0 kvadrat tenglamaning diskriminanti:
A) 2 B) 23 C) 4 D) 0
5.Koeffitsientlarni tanlang -x2-3x+7=0
A) 1,-3,7 B) -1,-3,7 C) -1,-3,-7 D) -1,-3,-7
4. x2-3x-10=0 tenglamani yeching
A) Ildizsiz B) 2; -5 C) 6 D) -5; -2
5. 9x2-6x+1=0 tenglamani yeching
A) 1,3 B) 0; 3 C) ildizsiz D) 1/3
6 . Tenglama ildizlarining ko‘paytmasini toping: x2-4x+3=0.
A) 12 B) 3 C) -3 D) -4
7 . Tenglama ildizlarining yig‘indisini toping: x2-3x-10=0.
A) -3 B) -13 C) 3 D) 10
8 . ax2 + 3x-5 = 0 tenglamadagi a koeffitsientining qiymatini toping:
tenglamaning ildizlaridan biri 1 ga teng.
A) 4 B) -1 C) 2 D) 1
9. Koeffitsient qiymatini toping b , agar tenglamada x2+in-15=0 bo'lsa
Tenglamaning ildizlaridan biri -5 ga teng
A) 2 B) -3 C) -2 D) 3
10. 3x(x-5)=0 tenglamani yeching
A) 1,5 B) 0; 5 C) ildizsiz D) 3.5
kalitlari
ish raqami
Kustova Lyudmila Anatolyevna
"Oryol o'rta maktabi" MKOU matematika o'qituvchisi
P. Orlovka, Voronej viloyati, Xoxolskiy tumani
Algebra test
Kvadrat tenglamalar 8-sinf
1. Kvadrat tenglamalardan qaysi biri to‘liq:
A) 4x2-6x+8=0 B) 9x+9x2=0 C) -6x2=0 D) 9+x2=0
2. X2-4x+3=0 kvadrat tenglamaning diskriminanti:
A) 2 B) 23 C) 4 D) 0
5.Koeffitsientlarni tanlang -x2-3x+7=0
A) 1,-3,7 B) -1,-3,7 C) -1,-3,-7 D) -1,-3,-7
4. x2-3x-10=0 tenglamani yeching
A) Ildizsiz B) 2; -5 C) 6 D) -5; -2
5. 9x2-6x+1=0 tenglamani yeching
A) 1,3 B) 0; 3 C) ildizsiz D) 1/3
6 . Tenglama ildizlarining ko‘paytmasini toping: x2-4x+3=0.
A) 12 B) 3 C) -3 D) -4
7 . Tenglama ildizlarining yig‘indisini toping: x2-3x-10=0.
A) -3 B) -13 C) 3 D) 10
8 . ax2 + 3x-5 = 0 tenglamadagi a koeffitsientining qiymatini toping:
tenglamaning ildizlaridan biri 1 ga teng.
A) 4 B) -1 C) 2 D) 1
9. Koeffitsient qiymatini toping b , agar tenglamada x2+in-15=0 bo'lsa
Tenglamaning ildizlaridan biri -5 ga teng
A) 2 B) -3 C) -2 D) 3
10. 3x(x-5)=0 tenglamani yeching
A) 1,5 B) 0; 5 C) ildizsiz D) 3.5
kalitlari
ish raqami
Kustova Lyudmila Anatolyevna
"Oryol o'rta maktabi" MKOU matematika o'qituvchisi
P. Orlovka, Voronej viloyati, Xoxolskiy tumani
Algebra test
Kvadrat tenglamalar 8-sinf
1. Kvadrat tenglamalardan qaysi biri to‘liq:
A) 4x2-6x+8=0 B) 9x+9x2=0 C) -6x2=0 D) 9+x2=0
2. X2-4x+3=0 kvadrat tenglamaning diskriminanti:
A) 2 B) 23 C) 4 D) 0
5.Koeffitsientlarni tanlang -x2-3x+7=0
A) 1,-3,7 B) -1,-3,7 C) -1,-3,-7 D) -1,-3,-7
4. x2-3x-10=0 tenglamani yeching
A) Ildizsiz B) 2; -5 C) 6 D) -5; -2
5. 9x2-6x+1=0 tenglamani yeching
A) 1,3 B) 0; 3 C) ildizsiz D) 1/3
6 . Tenglama ildizlarining ko‘paytmasini toping: x2-4x+3=0.
A) 12 B) 3 C) -3 D) -4
7 . Tenglama ildizlarining yig‘indisini toping: x2-3x-10=0.
A) -3 B) -13 C) 3 D) 10
8 . ax2 + 3x-5 = 0 tenglamadagi a koeffitsientining qiymatini toping:
tenglamaning ildizlaridan biri 1 ga teng.
A) 4 B) -1 C) 2 D) 1
9. Koeffitsient qiymatini toping b , agar tenglamada x2+in-15=0 bo'lsa
Tenglamaning ildizlaridan biri -5 ga teng
A) 2 B) -3 C) -2 D) 3
10. 3x(x-5)=0 tenglamani yeching
A) 1,5 B) 0; 5 C) ildizsiz D) 3.5
kalitlari
ish raqami
Kustova Lyudmila Anatolyevna
"Oryol o'rta maktabi" MKOU matematika o'qituvchisi
P. Orlovka, Voronej viloyati, Xoxolskiy tumani
Maqolada “To‘rtburchak tenglamalar” mavzusi bo‘yicha 4 ta test ikki variantda taqdim etilgan. Har bir test ikki qismdan iborat (javoblar tanlovi bilan; to‘liq yechim qaydi bilan). Har bir testda javoblar jadvali mavjud.
Yuklab oling:
Ko‘rib chiqish:
1 variant.
A) 1-12x=0 B) 7x 2 -13x+5=0 C) 48x 2 +x 3 -9=0 D) = 0
2. Kvadrat tenglamada -3x 2 +10x+5=0 eng yuqori koeffitsientni bildiradi:
A) 10 B) 5 C) -5 D) -3
3. -6x-5x tenglamasida 2 +9=0
A) Katta koeffitsient -6, ikkinchi koeffitsient -5, erkin muddat 9 ga teng.
B) Katta koeffitsient 9, ikkinchi koeffitsient -6, erkin muddat -5.
C) Katta koeffitsient -5, ikkinchi koeffitsient -6, erkin muddat 9 ga teng.
D) Aniqlash mumkin emas.
4. Kvadrat tenglamalardan qaysi biri kichraytirilgan?
A) 12-x 2 +3x=0 B) x 2 -7x+16=0 C) -15x 2 +4x-2=0 D) 4x 2 +x-1=0
5. Kvadrat tenglamalardan qaysi biri to‘liq emas?
A) 16x 2 -9 \u003d 0 B) 3-x 2 + x \u003d 0 C) -x 2 -x-1 \u003d 0 D) 7-7x-7x 2 \u003d 0
6. Sonlarning qaysi biri 5x kvadrat tenglamaning ildizi hisoblanadi 2 =0
A) 5 B) 0 C) -5 D) 25
2 +6x+9=0:
A) 0 B) 3 C) 1 D) -3
8. Kvadrat tenglamalarning qaysi birida erkin had 0 ga teng?
A) 5x 2 + 2x \u003d 0 B) x 2 -9 \u003d 0 C) 2-x-x 2 \u003d 0 D) 4x 2 + 5x-3 \u003d 0
9. Etakchi koeffitsienti 10, ikkinchi koeffitsienti - bo'lgan kvadrat tenglama tuzing., bepul muddat - 0,6.
10. 1 va -0,6 raqamlari 5x kvadrat tenglamaning ildizlarimi? 2 -8x+3=0?
Mavzu: Kvadrat tenglamalar. Asosiy tushunchalar.
Ko'rsatmalar: 1 dan 8 gacha bo'lgan topshiriqlarda taklif qilingan javoblardan bittasini tanlang.
9 va 10-topshiriqlarda yechim va javobni yozing.
Variant 2.
1. Qaysi tenglamalar kvadratikdir?
A) \u003d 0 B) 15x-3 \u003d 0 C) 6x 4 + x 2 \u003d 0 D) 4x 2 + 3x-1 \u003d 0
2). Kvadrat tenglamada 3x 2 +5x-9=0 bepul a'zoni bildiradi:
A) 9 B) -9 C) 3 D) 5
3. 3+5x-7x tenglamasida 2 =0
A) Katta koeffitsient -7, ikkinchi koeffitsient 5, erkin muddat 3 ga teng.
B) Katta koeffitsient 3, ikkinchi koeffitsient 5, erkin muddat -7.
C) Katta koeffitsient 7 ga, ikkinchi koeffitsient 3 ga, erkin muddat 5 ga teng.
D) Aniqlash mumkin emas.
4. Kvadrat tenglamalardan qaysi biri qisqartirilmaydi?
A) x 2 + 3x-5 \u003d 0 B) 7x + 16 + x 2 \u003d 0 C) 12x 2 + 4x-2 \u003d 0 D) x 2 + x \u003d 0
5. Kvadrat tenglamalardan qaysi biri to‘liq?
A) 16x 2 -9 \u003d 0 B) 3x 2 + x \u003d 0 C) 6x 2 -x-15 \u003d 0 D) -7x 2 \u003d 0
6. Sonlarning qaysi biri 8x kvadrat tenglamaning ildizi hisoblanadi 2 =0
A) -8 B) 8 C) 64 D) 0
7. Sonlarning qaysi biri kvadrat tenglamaning ildizi hisoblanadi 2 -6x+9=0:
A) 0 B) 3 C) -3 D) 1
8. Kvadrat tenglamalarning qaysi birida ikkinchi koeffitsient 0 ga teng?
A) x 2 -9 \u003d 0 B) 5x 2 + 2x \u003d 0 C) 2-x-x 2 \u003d 0 D) 4x 2 + 5x-3 \u003d 0
9. Etakchi koeffitsienti 0,4, ikkinchi koeffitsienti bo'lgan kvadrat tenglama tuzing., bepul muddat - 13.
10. -1 va -0,5 raqamlari 2x kvadrat tenglamaning ildizlarimi? 2+3x+1=0?
To'g'ri javoblar jadvali
ish raqami | ||||||||||
1 variant | 10x 2 -x+0,6=0 | Ha |
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Variant 2 | 0,4x 2 +x - 13=0 | Ha |
Ko‘rib chiqish:
Ko'rsatmalar: 1 dan 8 gacha bo'lgan topshiriqlarda taklif qilingan javoblardan bittasini tanlang.
9 va 10-topshiriqlarda yechim va javobni yozing.
1 variant
A) 4x+3=0 B) 5x 2 -10=0 C) 7x 2 +4x-3=0 D) x 2 +x-1=0
2. Kvadrat tenglamalardan qaysi biri to‘liq bo‘lmagan qisqartirilgan tenglama hisoblanadi?
A) x 2 +7=0 B) x 2 +14x-6=0 C) 9x 2 +10=0 D) -x 2 -3x=0
3. x tenglamani yeching 2 +5x=0
A) ildizlari yo‘q B) 0; 5 B) 5; -5 D) 0; -5
4. x tenglamani yeching 2 -64=0
A) 8; -8 B) 0; 64 C) ildizi yo‘q D) 8
5. 6x tenglamani yeching 2 =0
A) 0 B) ; - C) -6 D) ildizlari yo'q
6. -2x tenglamaning ildizlari yig’indisini toping 2 -18=0
A) 0 B) ildizsiz C) 18 D) 81
7. 2x tenglamaning ildizlari ko‘paytmasini toping 2 -9x=0
A) ildizsiz B) 4,5 C) -4,5 D) 0
8. Qaysi juft sonlar 3x tenglamaning ildizlari hisoblanadi 2 -75=0
A) 0; 25 B) 25; -25 V) 0; -5 D) 5; -5
9. To‘liqsiz qisqartirilmagan kvadrat tenglama tuzing.
10. 4x tenglamani yeching 2 -3x+7=2x 2 +x+7.
Mavzu "To'liq bo'lmagan kvadrat tenglamalar"
Ko'rsatmalar: 1 dan 8 gacha bo'lgan topshiriqlarda taklif qilingan javoblardan bittasini tanlang.
9 va 10-topshiriqlarda yechim va javobni yozing.
Variant 2
1. Qaysi tenglama to‘liq bo‘lmagan kvadrat tenglama hisoblanadi?
A) 4x 2 + 3x \u003d 0 B) 5x-10 \u003d 0 C) x 2 + x-3 \u003d 0 D) -x 2 + x-5 \u003d 0
2. Kvadrat tenglamalardan qaysi biri to‘liq bo‘lmagan qisqartirilmagan tenglama hisoblanadi?
A) 20x 2 +8=0 B) x 2 +14x=0 C) x 2 +10x-5=0 D) x 2 -3=0
3. x tenglamani yeching 2 -25=0
A) 0; 25 B) ildizsiz C) 5; -5 D) 5
4. 15x tenglamani yeching 2 =0
A) -15 B) 0 C) ildiz yo'q D)
5. 9x-x tenglamani yeching 2 =0
A) ildizlari yo‘q B) 0; -9 V) 0; 9 D) 3; -3
6. 4x tenglamaning ildizlari yig‘indisini toping 2 +16=0
A) 10 B) 4 C) 0 D) ildiz yo'q
7. 5x tenglamaning ildizlari ko‘paytmasini toping 2 +12x=0
A) -2,4 B) 0 C) ildizi yo’q D) 7
8. Qaysi juft sonlar 2x tenglamaning ildizlari hisoblanadi 2 +14x=0
A) 0; -7 B) 0; 7 B) 7; -7 D) ildizlari yo'q
9. To‘liq bo‘lmagan qisqartirilgan tenglama bo‘lgan kvadrat tenglamani yozing.
10. 1-2x + 3x tenglamani yeching 2 \u003d x 2 -2x + 9.
To'g'ri javoblar jadvali
ish raqami | ||||||||||
1 variant | Talaba tenglamasi | 0; 2 |
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Variant 2 | Talaba tenglamasi | 2; - 2 |
Ko‘rib chiqish:
Ko'rsatmalar: 1 dan 8 gacha bo'lgan topshiriqlarda taklif qilingan javoblardan bittasini tanlang.
9 va 10-topshiriqlarda yechim va javobni yozing.
1 variant
A) 5x 2 \u003d 0 B) 8-2x + 3x 2 \u003d 0 C) 7x 2 + 1 \u003d 0 D) 6x-x 2 \u003d 0
2 +5x-6=0 teng:
A) 0 B) 49 C) 1 D) 16
2 +6x+9=0
A) 1 B) 2 C) ildiz yo'q D) aniqlash mumkin emas
4. x tenglamani yeching 2 -2x-15=0
A) ildizsiz B) 3; -5 C) 1 D) 5; -3
5. 3x tenglamani yeching 2 -3x+4=0
6. -x tenglamaning eng katta ildizini toping 2 -5x+14=0
A) 2 B) 7 C). 38 D) hech qanday ildiz yo'q.
2 +7x+1=0
A) 1 B) -1 C) - D) ildizlari yo'q
2 +3x-5=0:
A) -2,5 B) -1,5 C) 2,5 D) ildizsiz.
9. 2x(x-8)=-x-18 tenglamani yeching.
10. x tenglamani yeching 4 -2x 2 -8=0.
“Kvadrat tenglamalarni formulalar orqali yechish” mavzusi.
Ko'rsatmalar: 1 dan 8 gacha bo'lgan topshiriqlarda taklif qilingan javoblardan bittasini tanlang.
9 va 10-topshiriqlarda yechim va javobni yozing.
Variant 2
1. Kvadrat tenglamalardan qaysi biri to‘liq:
A) 5x 2 -2x+3=0 B) 4x+9x 2=0 C) 10x2=0 D) 6x2=0
2. Kvadrat tenglamaning diskriminanti x 2 -8x+7=0 teng:
A) 92 B) -36 C) 0 D) 36
3. X kvadrat tenglama nechta ildizga ega 2 +5x+9=0
A) 2 B) ildiz yo‘q C) 1 D) aniqlash mumkin emas
4. x tenglamani yeching 2 +2x-15=0
A) Ildizlari yo'q B) 3; -5 C) 1 D) 5; -3
5. 4x tenglamani yeching 2 -4x+1=0
A) 1 B) 0; 4 C) ildizsiz D) 0,5
6. -x tenglamaning eng kichik ildizini toping 2 +7x-10=0
A) -5 B) 2 C) ildizsiz D) 5
7. 6x tenglamaning ildizlari yig‘indisini toping 2 -7x+1=0
A) 1,16 B) ildizlari yo‘q C) 1 G)
8. 2x tenglamaning ildizlari ko‘paytmasini toping 2 +3x-2=0
A) -1 B) ildizsiz C) -2,5 D) -10
9. 6x(2x+1)= 5x+1 tenglamani yeching.
10. x tenglamani yeching 4 -8x 2 -9=0.
To'g'ri javoblar jadvali
ish raqami | ||||||||||
1 variant | 6; 1,5 | 2; - 2 |
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Variant 2 | 3; - 3 |
Ko‘rib chiqish:
Mavzu: Vyeta teoremasi.
Kvadrat trinomialning omillarga bo'linishi "
Ko'rsatmalar: 1-6-topshiriqlarda taklif qilingan javoblardan bittasini tanlang.
7 va 8-topshiriqlarda yechim va javobni yozing.
1 variant
1. X kvadrat tenglama ildizlarining yig‘indisi va ko‘paytmasini toping 2 -10x+9=0
A) - 10; 9 B) 10; 9 B) 10; - 9 D) - 10; - 9
2. X kvadrat tenglama ildizlarining yig‘indisi va ko‘paytmasini toping 2 -2x-8=0
A) 2; - 8 B) - 2; - 8 V) 2; 8 D) - 2; sakkiz
3. Berilgan kvadrat tenglamalardan qaysi birining ildizlari yig‘indisi -2 ga, ko‘paytmasi esa -15 ga teng?
A) x 2 -2x-15=0 B) x 2 -15x-2=0 C) x 2 +15x-2=0 D) x 2 +2x-15=0
4. X kvadrat uch a’zoni ko‘paytiring 2-x-30
A) (x-6)(x+5) B) (x+6)(x-5) C) parchalanishi mumkin emas D) (x+11)(x-11)
5. Kvadrat trinomialni 2x ko‘paytiring 2-3x-2
A) (x-2)(x+) B) 2(x+2)(x-) C) 2(x-2)(x+) ) D) parchalanish mumkin emas
Kvadrat tenglamalar 1 - variant
1. Ushbu tenglamalardan qaysi biri kvadratik? 1) x 3 + 2x = 0; 2) 3x - 9 = 0; 3) 5x 2 - 4x = 0; 4) - 9 = 0. 2 . -x 2 -5x + 1 = 0 kvadrat tenglamaning yetakchi koeffitsientini ko'rsating. 1) 5; 2) -1; 3) 1; 4) -5. 3 . Quyidagi kvadrat tenglamalardan qaysi biri kichraytirilgan? 1) 2x 2 - 5x +6 = 0; 2) 10 - 5x + x 2 = 0; 3) 6 - x 2 + 7x \u003d 0; 4) 12x 2 + x - 1 = 0. 4 . Ushbu kvadrat tenglamalardan qaysi biri to‘liq? 1) x 2 +2x \u003d 0; 2) 8x 2 -5 = 0; 3) x 2 + 14x - 23 = 0; 4) 5x - x 2 +7 = 0. 5 . Tenglamani yeching: 2x 2 - 5x \u003d 0. 1) 0; 2.5. 2) 2; -5. o'ttiz; 5. 4) -2,5; 0. 6 . Kvadrat tenglamaning diskriminantini toping: -2x 2 + 5x + 3 = 0. 1) 49; 2) 1; 3)- 49; 4) 25. 7. Kvadrat tenglamaning ildizlari sonini aniqlang: 4x 2 + x + 66 = 0. 1) 2 xil ildiz; 2) 2 ta bir xil ildiz; 3) ildizlar yo'q. 8 . Tenglamani yeching: 10x 2 -13x -3 \u003d 0. 1) 1; 0.3. 2) - 1; - 0,3. 3) 1,5; - 0,2. 4) 1,5; 0,2. 9. Ushbu tenglamalardan qaysi birining ildizlari yig'indisi -7 ga, ko'paytmasi esa 12 ga teng? 1) x 2 - 7x +12 = 0; 2) x 2 + 7x -12 = 0; 3) x 2 -12x -7 \u003d 0; 4) x 2 + 12x - 7 = 0. 1) 1; 2) 2; 3) 3; 4) 4. 10. Ildizlari 3 va 5 raqamlari boʻlgan kvadrat tenglamani tuzing. 1) x 2 + 8x - 15 = 0; 2) x 2 + 8x + 15 = 0; 3) x 2 -8x + 15 = 0; 4) x 2 + 15x + 8 = 0;
Kvadrat tenglamalar Variant 2
1. Ushbu tenglamalardan qaysi biri kvadratik? 1) x + 2x = 0; 2) 3x 2 - 9 = 0; 3) 5x 3 - x \u003d 0; 4) - 5 = 0. 2 . Kvadrat tenglamaning yetakchi koeffitsientini ko'rsating -x 2 +3x +11 = 0. 1) 3; 2) -1; 3) 11; 4) 1. 3. Quyidagi kvadrat tenglamalardan qaysi biri kichraytirilgan? 1) 2x 2 - 7x +6 = 0; 2) 12 - 5x - x 2 \u003d 0; 3) 6 + x 2 + 7x = 0; 4) 12x 2 + x - 8 = 0. 4 . Ushbu kvadrat tenglamalardan qaysi biri to‘liq? 1) x 2 +3x \u003d 0; 2) 8x -5x + 2x 2 = 0; 3) x 2 +14 = 0; 4) 5x - x 2 +7 = 0. 5. Tenglamani yeching: -2x 2 - 5x \u003d 0. 1) 0; 2.5. 2) -2; -5. 3) -2,5; 5. 4) -2,5; 0. 6 . Kvadrat tenglamaning diskriminantini toping: -3x 2 + 2x + 1 = 0. 1) 4; 2) 8; 3) 16; 4) -16. 7. Kvadrat tenglamaning ildizlari sonini aniqlang: 3x 2 + x - 61 = 0. 1) 2 xil ildiz; 2) 2 ta bir xil ildiz; 3) ildizlar yo'q. 8 . Tenglamani yeching: 14x 2 + 5x -1 = 0. 1) -2. 3)- 4) 9 . Ushbu tenglamalardan qaysi birining ildizlari yig'indisi -5 ga, ko'paytmasi esa -14 ga teng? 1) x 2 - 5x +14 = 0; 2) x 2 + 5x -14 = 0; 3) x 2 -14x -5 = 0; 4) x 2 + 14x - 5 = 0. 1) 1; 2) 2; 3) 3; 4) 4. 10. Ildizlari 2 va 6 sonlardan iborat kvadrat tenglamani tuzing. 1) x 2 + 8x - 12 = 0; 2) x 2 + 8x + 12 = 0; 3) x 2 - 8x + 12 = 0; 4) x 2 + 12x - 8 = 0;
"To'rtburchak tenglamalar" mavzusi bo'yicha TESTLAR8, 6-sinf variantlari
Variant raqami 1
(x + 1) 2 = x 2 - 4x
3) 4x 2 + 3x tenglamasini yeching. = 0
ildizlari yo'q
X 2 + 3x + 4 = 0
4x 2 + 3x - 1 = 0
16x 2 - 3x = 0
2x 2 - 3x + 2 = 0
5) Tenglamani yeching: x 2 - 3x - 18 = 0.
6) Tenglama ildizlarining yig‘indisini toping: 4x 2 + 17x + 4 = 0.
Boshqa javob
7) Tenglama ildizlarining ko‘paytmasini toping: 2x 2 + x + 3 = 0.
Boshqa javob
8) Qaysi d da 8x 2 + d x + 8 = 0 tenglama 2 ildizga ega?
Variant raqami 2
1) Ushbu tenglamalardan qaysi biri kvadratik?
(x - 3) 2 \u003d 2x 2 + 3
(x - 2) 2 \u003d x 2
2) 5x + x 2 - 4 = 0 kvadrat tenglamaning a, b va c koeffitsientlarini toping.
3) 5x 2 = 9x tenglamani yeching.
ildizlari yo'q
x 2 - 9x - 1 = 0
2x 2 - 7x + 4 = 0
4x 2 - 7x + 2 = 0
4x 2 + 7x + 2 = 0
5) Tenglamani yeching: x 2 + 2x - 24 = 0.
6) Tenglama ildizlarining yig‘indisini toping: 2x 2 + 11x - 6 = 0.
Boshqa javob
Boshqa javob
8) 4x 2 + c x - 16 = 0 tenglama qaysi c da 4 ildizga ega?
9) binomning kvadratini tanlang: x 2 - 6x + 7 = 0.
(x + 3) 2 + x
TEST “Kvadrat tenglamalar” 8-sinf
Variant raqami 3
1) Ushbu tenglamalardan qaysi biri kvadratik?
x (x - 1) \u003d x 2 - 2x
2/x 2 = 3/x + 4
2x 2 - 3x \u003d x + 5
3) Tenglamani yeching: 17x \u003d 10x 2.
ildizlari yo'q
4) Qaysi tenglamaning diskriminanti 25 ga teng?
4 x 2 - 3 x + 1 = 0
2x 2 - 3x + 2 = 0
2x 2 + 3x -2 = 0
x 2 + 3x + 25 = 0
5) Tenglamani yeching: x 2 - 2x - 15 = 0.
6) Tenglama ildizlarining yig‘indisini toping: 2x 2 - x + 7 = 0.
Boshqa javob
Boshqa javob
8) 3x 2 + a x + 24 \u003d 0 tenglama nima uchun a 3 ildiziga ega?
(x - 3) 2 - 14
(x - 3) 2 + 4
TEST “Kvadrat tenglamalar” 8-sinf
Variant raqami 4
1) Ushbu tenglamalardan qaysi biri kvadratik?
4/x + x 2 + 1 = 0
x 2 + 3x = 4x - 2
x 2 \u003d (x - 2) (x + 1)
2) Kvadrat tenglamaning a, b va c koeffitsientlarini toping.7 - 3x 2 + x = 0.
3) 2x 2 - 7x tenglamani yeching. = 0
ildizlari yo'q
5x 2 + 3x + 2 = 0
2x 2 - 3x - 5 = 0
3x 2 - 3x - 7 = 0
2x 2 - 3x + 5 = 0
5) Tenglamani yeching: x 2 + x - 20 = 0
6) Tenglama ildizlarining yig‘indisini toping: 5x2 - 9x - 2 = 0.
boshqa javob
7) Tenglama ildizlarining ko‘paytmasini toping: 5x2 - 3x +2 = 0.
boshqa javob
8) Qaysi b tenglama uchun 2x 2 + b x - 10 = 0 ning ildizi 5 ga ega?
9) binomning kvadratini tanlang: x 2 + 4x + 3 = 0.
(x + 2) 2 - 1
TEST “Kvadrat tenglamalar” 8-sinf
Variant raqami 5
1) Ushbu tenglamalardan qaysi biri kvadratik?
(x + 1) 2 = x 2 - 4x
3x 2 = 4x 2 + 8
2) Kvadrat tenglamaning a, b va c koeffitsientlarini toping.3 - x 2 - 6x \u003d 0.
3) 5x 2 - 9x tenglamani yeching. = 0
ildizlari yo'q
4) Qaysi tenglamaning diskriminanti 49 ga teng?
5 x 2 + 3 x + 2 = 0
2x 2 - 3x - 5 = 0
3x 2 - 3x - 7 = 0
2x 2 - 3x + 5= 0
5) Tenglamani yeching: x 2 - 3x - 18 = 0
6) Tenglama ildizlarining yig‘indisini toping: 2x 2 + 11x - 6 = 0.
Boshqa javob
7) Tenglama ildizlarining mahsulotini toping: 2x 2 - 13x -7 \u003d 0.
Boshqa javob
8) Nima b uchun 8x 2 + b x + 8 = 0 tenglamaning ildizi 2 ga teng?
9) binomialning kvadratini tanlang: x 2 + 2x - 10 = 0.
TEST “Kvadrat tenglamalar” 8-sinf
Variant raqami 6
1) Ushbu tenglamalardan qaysi biri kvadratik?
x (x - 1) \u003d x 2 - 2x
2/x 2 = 3/x + 4
2x 2 - 3x \u003d x + 5
2) Kvadrat tenglamaning a, b va c koeffitsientlarini toping - x + 9. + 2x 2 = 0.
3) Tenglamani yeching: 18x = 10x 2.
ildizlari yo'q
4) Qaysi tenglamaning diskriminanti 81 ga teng?
x 2 - 9x - 1 = 0
2x 2 - 7x + 4 = 0.
4x 2 - 7x + 2 = 0.
4 x 2 + 7 x + 2 = 0.
5) Tenglamani yeching: x 2 - 2x - 15 = 0.
6) Tenglama ildizlarining yig‘indisini toping: 5x 2 - 9x + 2 = 0.
boshqa javob
7) Tenglama ildizlarining ko‘paytmasini toping: 2x 2 + 3x + 6 = 0.
boshqa javob
8) 3x 2 + p x + 24 = 0 tenglama qaysi pda 3 ildizga ega?
9) binomialning kvadratini tanlang: x 2 - 6x - 5 \u003d 0.
(x - 3) 2 - 14
(x - 3) 2 + 4
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| VARIANT #2 |
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