Math work for grade 10, Exercises of Mathematics

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Cau 1: Cau 2: Cau 3: Cau 4: Cau 5: Cau 6: Cau 7: Cau 8: Cau 9: DE ON TAP KIEM TRA CUOI HQC KY I NAM HQC 2022 - 2023 MON: TOAN 10 - DE SO: 01 I. PHAN TRAC NGHIEM (35 cau — 7,0 diém) Phat biéu nao sau day 14 m6t ménh dé todn hoc? A. Troi hém nay dep qua! C. Con dang lam gi d6? B. New York cé phai 1a thu d6 cua Anh? D. Sé 3 14 86 sé nguyén té Bat phuong trinh nao sau day 1a bat phuong trinh bac nhat hai 4n? A. 2x? -3y <0 B. -x+4y>-3 C. x+y? 22 D. x? +4y’ <6 Trong cdc hé sau, hé nao khéng phai 1a hé bat phuong trinh bac nhat hai an: A. xty>0 B. xtya—2 C. 2x+3y>10 D. y>0 , x>1 x-y=5 x-4y= 00 2 f(x) + 0 + Khang dinh nao sau day la ding: A. f(x)>0v6i moixeR. C. f (x)>0véi moixeR\ {0}. B. f(x) >0v6i moe \{-3 D. f(x)0<> x €(—<;-+400). B. f(x)=0<>x=-1. C. f(x) <0<>x €(-c1). D. f(x)>00. A. S$ =(-00;-2)U(2;4+0). B. S=(-2;2). C. S =(-<;-2] U[2; +00) . D. S=(-<;0)U(4;+0). C4u 13: Cho tam thite bac hai f(x) =—x? —4x+5. Tim tt ca gid tri cla x dé S (x)20. A. x €(—00;-1]U[5; +00). B. xe[-15]. C. xe[-5;1]. D. x e(-5;1). Cau 14: Nghiém cia phuong trinh ¥2x-1 = 3-x 1a Axe. B.x=2. cxat. p.x=3. 4 3 3 2 Cau 15: Trong cdc khang dinh sau day, khang dinh nao sai? A. sin30°=—sin150°. B. tan30°=—tan150°. C. cot30° =—cot150°. D. cos30°=—cos150° . Cau 16: Cho tam giac ABCc6 AB=c, AC=b,CB =a. Chon ménh dé sai? A. a =b’ +c’ —2be.cos A. B. b? =a’ +c’ —2ac.cosB. C. c? =a’ +b’ —2ab.cos B. D. c? =b’ +a’ —2ba.cosC. C4u 17: Cho tam gidc ABC. Sé cac véc to khac 0, 06 diém dau va diém cudi la cdc dinh cia tam giac ABCIa: A. 3. B. 6. C.2. B. 1. Cau 18: Cho tam giac ABC, khang dinh nao sau day la ding? A. AB+AC=BC, BB. BC+AB= AC. C. AB-AC=BC. iD. AB+ AC=CB. . Page 2 Suu tam va bién sogn Cau 25: Cau 26: Cau 27: Cau 28: Cau 29: Cau 30: Cau 31: Cau 32: Cau 33: Cau 34: Cau 35: A. B. 4. C. 6. D. w | 00 wln Giao diém cia parabol (P): y =x’ —3x+2véi duong thang y =x—-1 la: A. (150); (352). B. (0;-1);(-2;-3). C. (-152);(251). D. (2;1);(0;-1). Cho tam thitc bac hai f(x) =(m-1)x° +2(m—1)x+1.Tim diéu kién cia tham sé f(x)>0 VreR. m>2 m>2 A. l B. 2a. c. av2. D. a. Trong mat phang hé toa d6 Oxy, cho hai diém A(2; 1), B(-1; 7). Toa d6 diém M thoa man hé thie 3AM + AB =0 1a A. M(1; -3) B. M(5;—5) Cc. M(1; -1) D. M(3; -1) Trong hé toa dé Oxy, cho hai diém A(2;3) ; B(4;-1). Giao diém cua dung thang AB voi truc tung tai M, dit MA=kMB, gid tri chia kia A. -2. B. 2. Cc. ->. D. Nie Trong mat phang Oxy cho cdc diém A(-1;2);B(5;8). Diém M € Ox sao cho tam gidc vuéng tai 4. Dién tich tam giéc MAB bang A. 10. B. 18. C. 24. D. 12. Tim x dé khoang cach gitta hai diém A(5;—1) va B(x ; 4) bang 7. A. -10+2V6. B. 10426, c. 5426. D. -5+2V6. MAB Swu tam va bién sogn Page 4 IL. PHAN TU LUAN (3,0 diém) Cu 36: C6 mét nha may nude no muén tim vi tri dé xay dyng tram c4p nude sao cho khoang cach tir nha may dén 2 thi x4 B, C 1a bang nhau. Biét 2 thi x4 trén lan lwgt cach thanh phd A lan luot 50 km va 100 km ( nhy hinh vé) Thy xa B. 50cm = Thanh pba A. Nha. may Thi x4 cap mrdc Hoi khoang cach tir thanh phé A dén nha may c4p nuéc 1a bao nhiéu? Cau 37: Gia sir CD = h la chiéu cao cua thap trong d6 C 1a chan thap. Chon hai diém A, B trén mat dat sao cho ba diém A, B, C thang hang (nhu hinh vé bén dusi). Ta do duge AB = 24m, CAD = 63°; CBD = 48°. Tinh chiéu cao h cia khéi thap. Cu 38: Nguoi ta dy dinh ding hai loai nguyén liéu dé chiét xudt it nhat 140kg chat A va 9 kg chat B. Tu mdi t4n nguyén liéu loai I gid 4 triéu déng cé thé chiét xudt duge 20kg chat A va 0,6 kg chat B. Tir mi tin nguyén liéu loai II gid 3 triéu déng, cé thé chiét xudt duge 10kg chat A va 1,5 kg chat B. Hoi phai ding bao nhiéu tan nguyén ligu mdi loai dé chi phi mua nguyén liéu la it nhat, biét ring co sé cung c4p nguyén ligu chi cé thé cung c4p khéng qué 10 t4n nguyén liéu loai I va kh6ng qua 9 tan nguyén liéu loai II? Cau 39: Cho tam gidc ABC, M la diém thoa min 3M@4+2MB =0. Trén cdc canh AC,BC lay cdc diém P,Q sao cho CPMQ 1a hinh binh hanh. Lay diém N trén AQ sao cho aNA+bNO =0 (véi a,b eZ va a,b nguyén té cing nhau). Khi ba diém B, N,P thang hang hay tinh a+b. . Page 5 Suu tam va bién sogn