03_bai toan giai tam giac_p1-copy-copy

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I. X L NG CAO, TRUNG TRC TRONG TAM GIC Bi 1. Tam gic ABC c B(2; 5), cc ng cao d1: 2x + 3y + 7 = 0; d2:x 11y + 3 = 0. Vit phng trnh cc cnh ca tam gic. Bi 2. Tam gic ABC c C(4; 5), cc ng cao d1: 5x + 3y 4 = 0; d2: 3x + 8y + 13 = 0. Vit phng trnh cc cnh ca tam gic ABC. Bi 3. (Trich tp ch ton hc v tui tr, thng 10/2007) Cho tam gic ABC c nh A(2; 2). a) Lp phng trnh cc cnh ca tam gic bit cc ng cao k t B v C ln lt c phng trnh:9x 3y 4 = 0 v x + y 2 = 0. b) Lp phng trnh ng thng qua A v vung gc AC. Bi 4. (Trich tp ch ton hc v tui tr, thng 10/2007) Cho tam gic ABC c A(2; 1) v cc ng cao c phng trnh 2x y + 1 = 0; 3x + y + 2= 0. Vit phng trnh ng trung tuyn qua nh A ca tam gic. Bi 5. Phng trnh hai cnh ca mt tam gic trong mt phng to l 5x 2y + 6 = 0 v 4x + 7y 21 = 0. Vit phng trnh cnh th ba ca tam gic bit trc tm tam gic trng vi gc to . II. X L TRUNG TUYN TRONG TAM GIC Bi 1. Cho tam gic ABC c B(2; 7), phng trnh ng cao qua A l 3x + y + 11 = 0, phng trnh trung tuyn v t C l x + 2y + 7 = 0. Vit phng trnh cc cnh ca tam gic ABC. Bi 2. Trong mt phng vi h to Oxy cho tam gic ABC vi M(2; 2) l trung im ca BC, cnh AB c phng trnh x 2y 2 = 0, cnh AC c phng trnh 2x + 5y + 3 = 0. Xc nh to cc nh ca tam gic ABC. Bi 3. Cho tam gic ABC, c trng tm G v phng trnh hai cnh AB, AC tng ng. Hy tm ta cc nh ca tam gic khi G(2; 1), AB: 4x + y + 15 = 0; AC: 2x + 5y + 3 = 0. Bi 4. Tam gic ABC, B(2; 1), ng cao AH: x 2y + 3 = 0, ng trung tuyn AM: x 1 = 0. Vit phng trnh cc cnh ca tam gic. Bi 5. Tam gic ABC, B(3; 5), ng cao AH: 2x 5y + 3 = 0, ng trung tuyn CM: x + y 5 = 0. Vit phng trnh cc cnh ca tam gic ABC. Bi 6. Lp phng trnh cc cnh ca tam gic ABC bit nh C(3; 5), ng cao v ng trung tuyn k t mt nh c phng trnh l d1: 5x + 4y 1 = 0, d2: 8x + y 7 = 0. Bi 7. Lp phng trnh cc cnh ca tam gic ABC bit nh C(3; 5), ng cao v ng trung tuyn k t mt nh c phng trnh l d1: 5x + 4y 1 = 0, d2: 8x + y 7 = 0. Bi 8. Tam gic ABC, A(4; 6), phng trnh ng cao v ng trung tuyn k t C c phng trnh: 2x y + 13 = 0, 6x 13y + 29 = 0. Tm ta ca B, C. 03. BI TON GII TAM GIC P1