bd7m 2.7.0b

bd7m thành phố Bắc Kạn

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bd7m被动 – 伍佰 尤克里里和弦谱

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bd7m蜜蜂 demo – 万玲琳 尤克里里和弦谱

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bd7mGuía 2 – Segmentos 3ro BN PDF

Citation previewColegio REY DE REYES La INTELIGENCIA como primera opción Segmentos 1. En una recta se ubican los puntos A, B, C y D, tal que AC = 12 y BD = 15. Calcula AD si BC = 4. Resolución 12 4 A B 15 C D CD = BD – BC Ÿ CD = 15 – 4 CD = 11 Del dato: BD – 4(AB) = 20u Ÿ (x + 4a) – 4(a – x) = 20u Ÿ x + 4a – 4a + 4x = 20u Ÿ 5x = 20u ?x = 4u 1) 4. E n u n a r e c t a s e u b i c a n consecutivamente los puntos A, B, M y C, siendo M punto medio de BC. Calcula el valor de: (AM)2 + (AC)2 Q= (AM)2 bd7m + (BM)2 a) 1 d) 2 2) A B Reemplazando en la ecuación: Q= 2. Los puntos A, B, C, D y E son consecutivos y colineales. B y C son puntos medios de BD y AC. Calcular AE si DE = 2(AC) y CE Resolución 10 (b)2 + (b + 2a)2 (a + b)2 + (a)2 Desarrollando los productos notables: b2 + b2 + 4ab + 4a2 Q= a2 + 2ab + b2 Q= 4a2 + 4ab + 2b2 2a2 + 2ab + b2 Q= 2(2a2 + 2ab + b2) (2a2 + 2ab + b2) B Q=2 Del gráfico: CE = 5a = 10 Ÿ a=2 x = AE = 7a 3) Resolución B 4a x C c) 3 4) D b) 4 e) 6 a-b a+b b) a+b a-b a-b d) e) a . b a.b B Sabemos que: 0 < AB < BC 0 < AB š AB < BC 0 < 2x – 9 š 2x – 9 < 11 9 < 2x š 2x < 20 4,5 < x š x < 10 xmín= 5š xmáx= 9 TODO LO PUEDO EN CRISTO QUE ME FORTALECE 5) c) 6 c) 8 En una recta se ubican los puntos consecutivos M, N, P y Q, de modo bd7m que a(NP) = b(PQ); 14 D04 EDE &DOFXOD NP en función de a y b. a) 11 A b) 4 e) 10 En una recta se ubican los puntos P, Q, R, S y T, de modo que Q y S son puntos medios de PS y RT, respectivamente. Si PR – ST = 14, calcula QR. a) 7 d) 9 Resolución A b) 6 e) 4 En una recta se ubican los puntos A, B, C, D y E, de modo que B y D son puntos medios de AD y CE, respectivamente. Si AC – DE = 8, calcula BC. a) 2 d) 8 5. Si A, B y C son tres puntos colineales y consecutivos, AB = 2x – 9 y BC = 11. Calcula xmáx. y xmín si AB < BC. 3. En una recta se ubican los puntos consecutivos A, B y D. En BD se ubica C, tal que 4(AC) = CD. Calcula BC si BD – 4(AB)=20u. a Se tiene cuatro puntos colineales A, B, C y D, tales que C es punto medio del segmento AD y AB = 2 BC. Halla BC si AD = 12. Resolución x = A……