ࡱ> {&bjbjzzag &&$D(((($G JE"((Kuuuj((uuuT(PHyjla0t,C!C!C!,%u3 ?vM(C!&6 \: Zkladn akola a mateYsk akola, `aratice, okres Vyakov III/2 Inovace a zkvalitnn vuky prostYednictvm ICT VY_32_INOVACE_78 Jmno autora: Mgr. Roman Holoubek Datum vytvoYen: ervenec 2012 Ro nk: 8. Vzdlvac oblast: Matematika a jej aplikace Vzdlvac obor: Matematika Tematick okruh: Mnoho leny slo projektu: CZ.1.07./1.4.00/21.1996 Pracovn list Prvn kdo zavedl psmena do vpo to, byl francouzsk matematik ~ijc v2. pol. 16. stolet. Koncem 16. stolet vedla vlku Francie se `panlskem. F. Vieta rozluatil aifru, kterou `panl ve vlce pou~vali pYi pYedvn tajnch zprv. Krl `panlska nemohl uvYit, ~e mo~e lovk rozYeait aifru, kter m 500 symbolo. Vznesl proto ~alobu pape~ovi, ~e Francouzi pou~vaj  & viz tajenka . Tajenka Vypo tejte a dosate do danho vrazu i do vsledku za promnn sla uveden vzvorce: 1) 4a  6b  12 + (-8a  3b + 2), [a = 3, b = -2] a) 4 (O) b) -2 (P) c) -4 (I) d) 0 (E) 2) 2x  z + (2y  z) + (3z x), [x = 0,1; y = 0,5; z = - 0,2] a) 0,9 (E) b) 0,7 (R) c) 1,1 (L) d) -0,9 (U) 3) (1,2e f) + (2,5e + f) - (1,5e 3,7f), [e = -5; f = -1] a) 14,7 (A) b) -7,3 (Y) c) -15,2 (N) d) -14,7 (O) 4) 5by [2b y + (by b + y)], [b = 3; y = -2] a) -26 (T) b) 27 (B) c) -27 (A) d) 26 (D) 5) (5x2 ax + a2) + (3x2 2ax + 3a2) - (-ax2 + 2a2 8x2), [a = -2; x = 1] a) 38 (C) b) 36 (U) c) 40 (`) d) 37 () 6) 3p2  pq  (q2  2pq)  (pq  2q2), [ p = 3; q = -3] a) 36 (N) b) 35 (M) c) 18 (J) d) 27 () 7) 3a + 2b  [2a  (b  3) + (3b  a)], [a = 5; b = 4] a) 6 (D) b) 8 (V) tv    & P p 8 X p &(ɽɫ҃҃҃҃҃҃҃zzmiidiZih 5B*ph3f h 5h h 5CJ(OJQJaJ(h 5CJ aJ h CJ aJ h 5B*CJ$aJ$ph# *h\h\5B*CJ$aJ$ph# *h\h 5B*CJ$aJ$phh 5>*CJ \aJ h >*CJ aJ h 5CJ \aJ h 5CJ$aJ$h B*CJaJphjhx^UmHnHu#vx  P 8 p $a$$a$ &(BDFHJ  $a$("(>H  &+x (.9>HRThjN J ^ ` ~ |!!!!!!!!"""""""""h 5H*mH sH U h 5H*h 5mHsHh h 5mH sH  h 5R()*+,vwx ;<=>?FHLNH J z!|!!!!!! c) 7 (I) d) 13 (S) 8)  (0,4y2  0,9yz + 0,6z2  0,1)  (-z2  0,5y2 + 0,3yz), [y = -3; z = -1] a) 3,4 (R) b) 3,1 (T) c) 3 (J) d) 3,2 (G) 9)  (3m2  2n2) + [2m  (1  2n2) + 1], [m = 4; n = -4] a) 8 ( ) b) 24 (R) c) -8 (}) d) 16 () 10) 5x2  [4x2 + (x + y) + (2x  3y)  (-3x2 +5y)], [x = -6; y = 3)] a) -34 (X) b) -33 ( ) c) -35 (D) d) -30 (S) 11)  EMBED Equation.3  a) -3 (M) b) -2 (J) c) 3 (R) d) 2 (P) PYklad slo10.2.9.6.3.5.x11.4.8.7.1.Tajenkax Xeaen PYklad slo10.2.9.6.3.5.x11.4.8.7.1.Tajenka ERNOUxMAGII Zdroj: archiv autora B A, Ludvk; BRANT, JiY.Matematika pro 8. ro nk zkladn akoly. 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