ࡱ> 685})`~Dbjbj4X j"FFF8~l|"=rz!!!!""" = = = = = = =>h@ =E#""## =!!P=)))#d!! =)# =))18|9!f `;F$T8;4f=0=8~AU(~A$998~A9""")##""" = ==)d"""=####"""$F"""F"""  tvrtletn psemn prce pro 9. ro nk Matematika 24. sada VY_32_INOVACE_472 AnotaceDUM je ur en kopakovn u iva 8. a 9. tYdy. Okruhy u iva: vrazy  s tn, od tn, nsoben mnoho leno, druh mocnina dvoj lenu, rozdl druhch mocnin, pravy mnoho leno na sou in, lomen vrazy  smysl, rozaiYovn, krcen, s tn, od tn.Druh u ebnho materiluDUMO ekvan vstupy}k opakuje u ivo 8. a 9. ro nku.Pro koho je materil ur en9. ro nkAutorMgr. JiY LukasDatum vznikuYjen 2013Vzdlvac oblastMatematika a jej aplikace Zadn: 1. Zjednodua vrazy: 3x2  2x + 5  4x2  x + 1 = (y  1)  (2y + 6)  3y + 2 = (a  1) " (a2 + 3a  4) = (0,2x  0,3y)2 = ( EMBED Equation.3 a +  EMBED Equation.3 b)2 = (3a2b  7) " (3a2b + 7) = 2. Uprav na sou in: 3a  6b = 4x2y3 + 8x5y = x(2y  1) + y(1  2y) = a2  10a + 25 = 4x2 + 28x + 49 =  b2 + 36 = 3. Ur i podmnky, pYi kterch maj lomen vrazy smysl: a)  EMBED Equation.3  b)  EMBED Equation.3  c)  EMBED Equation.3  d)  EMBED Equation.3  4. Zkrae: a)  EMBED Equation.3  b)  EMBED Equation.3  5. DoplH chybjc itatele, aby rovnosti byly sprvn: a)  EMBED Equation.3  =  EMBED Equation.3  b)  EMBED Equation.3  =  EMBED Equation.3  6. Vypo tej: a)  EMBED Equation.3  +  EMBED Equation.3  = b)  EMBED Equation.3  -  EMBED Equation.3  = c) 3 +  EMBED Equation.3  = d)  EMBED Equation.3  -  EMBED Equation.3  = 2NPdfvxϻvi[J@6@hpOJQJ^JhA*OJQJ^J!h h$~5;OJQJ\^JhKh$~6OJQJ^JhROhOJQJ^Jh6OJQJ^JhA*CJ OJQJ\^JaJ hA*6OJQJ^JhA*CJ OJQJ]^JaJ hA*CJ OJQJ\]^JaJ &h'hA*CJ OJQJ\]^JaJ h5CJ(\]aJ(hA*5CJ(\]aJ(h5CJ(\]aJ(h5CJ(\]aJ(Pfx $Ifgd4 $$Ifa$gd $a$gd$a$gdA*$a$gdK C|D  *  J N h j ˾xm__h hjOJQJ\^JhOJQJ\^JhA*OJQJ\^JhOJQJ\^J"h h$~5NHOJQJ\^Jh h$~5OJQJ\^Jh h$~OJQJ\^Jh59hOJQJ^JhOJQJ^Jh$~OJQJ^JhOJQJ^Jh"OJQJ^Jh59hiiOJQJ^J yma $$Ifa$gd $$Ifa$gd kd$$IfTF0p;% t044 lapT  L yma $$Ifa$gdz{ $$Ifa$gd kd$$IfTF0p;% t044 lapTL N yma $$Ifa$gd $$Ifa$gd kdV$$IfTF0p;% t044 lapT yma $$Ifa$gd $$Ifa$gd kd$$IfTF0p;% t044 lapT yma $$Ifa$gd/ $$Ifa$gd kd$$IfTF0p;% t044 lapT    2 R V Z ^ n p v , . b d l n ǵǧ|xtplxpdpdp`pdpdpXTh$>jh$>Uh"hWhH*hY7hh3h>kh*xh>k5>*h>hh h$~OJQJ\^Jh/OJQJ\^Jh hjOJQJ\^J"h h$~5NHOJQJ\^Jh h$~5OJQJ\^Jh hx(OJQJ\^JhOJQJ\^Jh hx(5OJQJ\^J  T yma $$Ifa$gd $$Ifa$gd kdW$$IfTF0p;% t044 lapTT V X \ ^ n p  H j wrrrrrrrjjjj & FgdgdKkd$$IfTF0p;% t044 lapT :<PRVXZ\dfhjnpȻ۷{s{{s{shY7hY7H*hY7hY7hLH*hY7haH*hah"hLh3h+h$>hWH*hhWhWH*hWjh$>hMwEHUj1V hMwCJUVaJh$>jh$>Ujh$>hMwEHUj1V hMwCJUVaJ-j <>RpnpZ\^rt  gd"h^hgd.gdY7 & FgdLgd"gdW & Fgd" & Fgdtxz*,RTVXZ\^xz䑄uhd`hh7 jhZhEHUj4V hCJUVaJjh h.h.EHUj1V h.CJUVaJj hZhEHUj4V hCJUVaJhZjhZUjhZhZEHUj`4V hZCJUVaJh.jh.Uhfh5h+hY7#z|X^`ķӫxk\j> 1V hovCJUVaJjhh]YKEHUjb4V h]YKCJUVaJjhovhovEHUj1V hovCJUVaJjhovUhovh+h.jNhhEHUj14V hCJUVaJh3jjhhEHUj4V hCJUVaJhjhUtVX2468:<X6  gd"  h^hgd+  h^hgdov  gd3j  h^hgd3j*,.02<^`*˾ں槚~vgZvvj#h+h+EHUjI 1V h+CJUVaJjh+Uj!hovh+EHUj 1V h+CJUVaJjhovh+EHUj 1V h+CJUVaJh+h3jjnhh]YKEHUj4V h]YKCJUVaJjhUhhovjhovUjhovhovEHU!*,.046DFlnpr<6<H<l<p<<<<<<ķר׌{trtkg_g_g_ghBkh]YKH*h]YK h]YK5>*U hNb5>*h7 j,h+h+EHUj 1V h+CJUVaJj*h+h+EHUj 1V h+CJUVaJji(h+h+EHUj 1V h+CJUVaJhovh+jh+Uj&&h+h+EHUjd 1V h+CJUVaJ%<<<< < <<<<<<<<<< <"<$<&<(<*<,<.<0<2<4<  gd" Xeaen: 1. pYklad: a)  x2  3x + 6 b)  4y  5 c) a3 + 2a2  7a + 4 d) 0,04x2  0,12xy + 0,09y2 e)  EMBED Equation.3 a2 +  EMBED Equation.3 ab +  EMBED Equation.3 b2 f) 9 a4b2  49 2. pYklad: a) 3(a  2b) b) 4x2y(y2 + 2x3) c) (2y  1)(x  y) d) (a  5)2 e) (2x + 7)2 f) (6  b)(6 + b) 3. pYklad: a) a EMBED Equation.3 , b EMBED Equation.3 0 b) x EMBED Equation.3 - 2,5 c) m EMBED Equation.3 0, m EMBED Equation.3 2 d) x EMBED Equation.3 5, x EMBED Equation.3 -5 4. pYklad: a)  EMBED Equation.3  b)  EMBED Equation.3  5. pYklad: a) x3 + 2x2 b) 45yz + 20z2 6. pYklad: a)  EMBED Equation.3  b)  EMBED Equation.3  c)  EMBED Equation.3  d)  EMBED Equation.3  Bodovn: Ka~d sprvn vypo tan pYklad je za 1 bod, celkem tedy 24 bodo. Klasifikace: celkem  max. 24 bodo 1 & 24  22 bodo 2 & 21  17 bodo 3 & 16  11 bodo 4 & 10  5 bodo 5 & 4  0 bodo      Autorem materilu a vaech jeho st, nen-li uvedeno jinak, je Mgr. 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