lehrkraefte:ks:enp

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lehrkraefte:ks:enp [2022/01/03 10:55]
Simon Knaus 		lehrkraefte:ks:enp [2022/01/26 22:37] (current)
Simon Knaus
Line 10: Line 10:
  
 ==== Miniaufgaben ==== ==== Miniaufgaben ====
 +=== KW 4===
 +Primfaktorzerlegung von Nenner und Zähler, dann kürzen und als Kehrwert verrechnen!
 +
 +<JS>miniAufgabe("#exofraction2","#solfraction2",[
 +
 + [
 +
 + "$$\\frac{165}{195}:\\frac{231}{52}$$",
 + "$$\\frac{4}{21}$$"
 + ],
 + [
 +
 + "$$\\frac{45}{50}:\\frac{45}{385}$$",
 + "$$\\frac{77}{10}$$"
 + ],
 + [
 +
 + "$$\\frac{55}{65}:\\frac{55}{143}$$",
 + "$$\\frac{11}{5}$$"
 + ],
 + [
 +
 + "$$\\frac{49}{55}:\\frac{49}{33}$$",
 + "$$\\frac{3}{5}$$"
 + ],
 + [
 +
 + "$$\\frac{147}{165}:\\frac{175}{66}$$",
 + "$$\\frac{42}{125}$$"
 + ],
 + [
 +
 + "$$\\frac{63}{165}:\\frac{245}{847}$$",
 + "$$\\frac{33}{25}$$"
 + ],
 + [
 +
 + "$$\\frac{75}{105}:\\frac{75}{175}$$",
 + "$$\\frac{5}{3}$$"
 + ],
 + [
 +
 + "$$\\frac{175}{165}:\\frac{105}{165}$$",
 + "$$\\frac{5}{3}$$"
 + ],
 + [
 +
 + "$$\\frac{75}{75}:\\frac{27}{50}$$",
 + "$$\\frac{50}{27}$$"
 + ],
 + [
 +
 + "$$\\frac{77}{26}:\\frac{55}{26}$$",
 + "$$\\frac{7}{5}$$"
 + ],
 + [
 +
 + "$$\\frac{105}{165}:\\frac{245}{539}$$",
 + "$$\\frac{7}{5}$$"
 + ],
 + [
 +
 + "$$\\frac{15}{25}:\\frac{9}{35}$$",
 + "$$\\frac{7}{3}$$"
 + ],
 + [
 +
 + "$$\\frac{105}{30}:\\frac{45}{110}$$",
 + "$$\\frac{77}{9}$$"
 + ],
 + [
 +
 + "$$\\frac{385}{78}:\\frac{539}{195}$$",
 + "$$\\frac{25}{14}$$"
 + ],
 + [
 +
 + "$$\\frac{105}{70}:\\frac{245}{385}$$",
 + "$$\\frac{33}{14}$$"
 + ],
 + [
 +
 + "$$\\frac{245}{66}:\\frac{343}{385}$$",
 + "$$\\frac{25}{6}$$"
 + ],
 + [
 +
 + "$$\\frac{15}{35}:\\frac{25}{49}$$",
 + "$$\\frac{21}{25}$$"
 + ],
 + [
 +
 + "$$\\frac{33}{39}:\\frac{55}{143}$$",
 + "$$\\frac{11}{5}$$"
 + ],
 + [
 +
 + "$$\\frac{77}{39}:\\frac{77}{143}$$",
 + "$$\\frac{11}{3}$$"
 + ]
 +]," &nbsp; &nbsp; ");</JS>
 +
 +<HTML>
 +
 +<div id="exofraction2"> </div>
 +
 +</HTML>
 +
 +<hidden Lösungen>
 +<HTML>
 +<div id="solfraction2"></div>
 +</HTML>
 +</hidden>
 +
 +=== KW 3===
 +Primfaktorzerlegung von Nenner und Zähler, dann kürzen und als Kehrwert verrechnen!
 +
 +<JS>miniAufgabe("#exofraction1","#solfraction1",[
 +
 + [
 +
 + "$$\\frac{165}{195}:\\frac{231}{52}$$",
 + "$$\\frac{4}{21}$$"
 + ],
 + [
 +
 + "$$\\frac{45}{50}:\\frac{45}{385}$$",
 + "$$\\frac{77}{10}$$"
 + ],
 + [
 +
 + "$$\\frac{55}{65}:\\frac{55}{143}$$",
 + "$$\\frac{11}{5}$$"
 + ],
 + [
 +
 + "$$\\frac{49}{55}:\\frac{49}{33}$$",
 + "$$\\frac{3}{5}$$"
 + ],
 + [
 +
 + "$$\\frac{147}{165}:\\frac{175}{66}$$",
 + "$$\\frac{42}{125}$$"
 + ],
 + [
 +
 + "$$\\frac{63}{165}:\\frac{245}{847}$$",
 + "$$\\frac{33}{25}$$"
 + ],
 + [
 +
 + "$$\\frac{75}{105}:\\frac{75}{175}$$",
 + "$$\\frac{5}{3}$$"
 + ],
 + [
 +
 + "$$\\frac{175}{165}:\\frac{105}{165}$$",
 + "$$\\frac{5}{3}$$"
 + ],
 + [
 +
 + "$$\\frac{75}{75}:\\frac{27}{50}$$",
 + "$$\\frac{50}{27}$$"
 + ],
 + [
 +
 + "$$\\frac{77}{26}:\\frac{55}{26}$$",
 + "$$\\frac{7}{5}$$"
 + ],
 + [
 +
 + "$$\\frac{105}{165}:\\frac{245}{539}$$",
 + "$$\\frac{7}{5}$$"
 + ],
 + [
 +
 + "$$\\frac{15}{25}:\\frac{9}{35}$$",
 + "$$\\frac{7}{3}$$"
 + ],
 + [
 +
 + "$$\\frac{105}{30}:\\frac{45}{110}$$",
 + "$$\\frac{77}{9}$$"
 + ],
 + [
 +
 + "$$\\frac{385}{78}:\\frac{539}{195}$$",
 + "$$\\frac{25}{14}$$"
 + ],
 + [
 +
 + "$$\\frac{105}{70}:\\frac{245}{385}$$",
 + "$$\\frac{33}{14}$$"
 + ],
 + [
 +
 + "$$\\frac{245}{66}:\\frac{343}{385}$$",
 + "$$\\frac{25}{6}$$"
 + ],
 + [
 +
 + "$$\\frac{15}{35}:\\frac{25}{49}$$",
 + "$$\\frac{21}{25}$$"
 + ],
 + [
 +
 + "$$\\frac{33}{39}:\\frac{55}{143}$$",
 + "$$\\frac{11}{5}$$"
 + ],
 + [
 +
 + "$$\\frac{77}{39}:\\frac{77}{143}$$",
 + "$$\\frac{11}{3}$$"
 + ]
 +]," &nbsp; &nbsp; ");</JS>
 +
 +<HTML>
 +
 +<div id="exofraction1"> </div>
 +
 +</HTML>
 +
 +<hidden Lösungen>
 +<HTML>
 +<div id="solfraction1"></div>
 +</HTML>
 +</hidden>
 +=== KW 2===
 +Berechnen Sie:
 +<JS>miniAufgabe("#exopascal1","#solpascal1",[["$$\\left(\\frac{b}{2}+2 v\\right)^4$$",   "$$\\frac{b^4}{16}+b^3 v+6 b^2 v^2+16 b v^3+16 v^4$$"], ["$$(3 a-2 b)^3$$",   "$$27 a^3-54 a^2 b+36 a b^2-8 b^3$$"], ["$$\\left(\\frac{c}{3}+3 d\\right)^5$$","$$\\frac{c^5}{243}+\\frac{5 c^4 d}{27}+\\frac{10 c^3 d^2}{3}+30c^2 d^3+135 c d^4+243 d^5$$"], ["$$(2 a-2 b)^3$$", "$$8 a^3-24 a^2 b+24 a b^2-8 b^3$$"], ["$$(c+3 d)^3$$", "$$c^3+9 c^2 d+27 c d^2+27 d^3$$"], ["$$\\left(2u-\\frac{v}{4}\\right)^3$$","$$8 u^3-3 u^2 v+\\frac{3 u v^2}{8}-\\frac{v^3}{64}$$"], ["$$\\left(\\frac{a}{2}-\\frac{b}{3}\\right)^4$$","$$\\frac{a^4}{16}-\\frac{a^3 b}{6}+\\frac{a^2 b^2}{6}-\\frac{2ab^3}{27}+\\frac{b^4}{81}$$"],["$$\\left(\\frac{x}{4}-\\frac{y}{2}\\right)^5$$", "$$\\frac{x^5}{1024}-\\frac{5 x^4 y}{512}+\\frac{5 x^3 y^2}{128}-\\frac{5 x^2 y^3}{64}+\\frac{5 x y^4}{64}-\\frac{y^5}{32}$$"]],
 +" &nbsp; &nbsp; ");
 +</JS>
 +<HTML>
 +<div id="exopascal1"></div>
 +</HTML>
 +
 +<hidden Lösungen>
 +<HTML>
 +<div id="solpascal1"></div>
 +</HTML>
 +</hidden>
 +
 === KW 1 === === KW 1 ===
 Berechnen Sie: Berechnen Sie:
-<JS>miniAufgabe("#exobruchrechnen2","#solbruchrechnen2",+<JS>miniAufgabe("#exobruchrechnen3","#solbruchrechnen3",
 [["$$\\left(\\frac{3}{2}+\\frac{7}{3}\\right):\\frac{46}{21}$$", "$$\\left(\\frac{9}{6}+\\frac{14}{6}\\right):\\frac{46}{21}=\\frac{23}{6}:\\frac{46}{21}=\\frac{7}{4}$$"], ["$$-\\frac{2}{5}:\\left(-\\frac{4}{31}\\right)-\\frac{3}{2}$$", "$$\\frac{31}{10}-\\frac{3}{2}=\\frac{31}{10}-\\frac{15}{10}=\\frac{8}{5}$$"], ["$$\\left(\\frac{1}{2}-\\frac{5}{4}\\right):\\frac{9}{28}$$", "$$\\left(\\frac{2}{4}-\\frac{5}{4}\\right):\\frac{9}{28}=-\\frac{3}{4}:\\frac{9}{28}=-\\frac{7}{3}$$"], ["$$-\\frac{2}{5}:\\left(-\\frac{4}{25}\\right)-\\frac{4}{3}$$", "$$\\frac{5}{2}-\\frac{4}{3}=\\frac{15}{6}-\\frac{8}{6}=\\frac{7}{6}$$"], ["$$\\left(\\frac{2}{3}-\\frac{9}{5}\\right)\\cdot\\left(-\\frac{15}{34}\\right)$$", "$$\\left(\\frac{10}{15}-\\frac{27}{15}\\right)\\cdot-\\frac{15}{34}=-\\frac{17}{15}\\cdot-\\frac{15}{34}=\\frac{1}{2}$$"], ["$$\\left(\\frac{5}{2}-\\frac{7}{5}\\right)\\cdot\\frac{50}{33}$$", "$$\\left(\\frac{25}{10}-\\frac{14}{10}\\right)\\cdot\\frac{50}{33}=\\frac{11}{10}\\cdot\\frac{50}{33}=\\frac{5}{3}$$"], ["$$\\left(\\frac{9}{2}-\\frac{7}{5}\\right):\\frac{31}{15}$$", "$$\\left(\\frac{45}{10}-\\frac{14}{10}\\right):\\frac{31}{15}=\\frac{31}{10}:\\frac{31}{15}=\\frac{3}{2}$$"], ["$$\\frac{3}{5}:\\frac{18}{65}-\\frac{2}{3}$$", "$$\\frac{13}{6}-\\frac{2}{3}=\\frac{13}{6}-\\frac{4}{6}=\\frac{3}{2}$$"], ["$$\\left(\\frac{7}{4}-\\frac{3}{2}\\right)\\cdot\\frac{8}{3}$$", "$$\\left(\\frac{7}{4}-\\frac{6}{4}\\right)\\cdot\\frac{8}{3}=\\frac{1}{4}\\cdot\\frac{8}{3}=\\frac{2}{3}$$"], ["$$\\left(\\frac{2}{3}-\\frac{5}{2}\\right):\\frac{11}{7}$$", "$$\\left(\\frac{4}{6}-\\frac{15}{6}\\right):\\frac{11}{7}=-\\frac{11}{6}:\\frac{11}{7}=-\\frac{7}{6}$$"]], [["$$\\left(\\frac{3}{2}+\\frac{7}{3}\\right):\\frac{46}{21}$$", "$$\\left(\\frac{9}{6}+\\frac{14}{6}\\right):\\frac{46}{21}=\\frac{23}{6}:\\frac{46}{21}=\\frac{7}{4}$$"], ["$$-\\frac{2}{5}:\\left(-\\frac{4}{31}\\right)-\\frac{3}{2}$$", "$$\\frac{31}{10}-\\frac{3}{2}=\\frac{31}{10}-\\frac{15}{10}=\\frac{8}{5}$$"], ["$$\\left(\\frac{1}{2}-\\frac{5}{4}\\right):\\frac{9}{28}$$", "$$\\left(\\frac{2}{4}-\\frac{5}{4}\\right):\\frac{9}{28}=-\\frac{3}{4}:\\frac{9}{28}=-\\frac{7}{3}$$"], ["$$-\\frac{2}{5}:\\left(-\\frac{4}{25}\\right)-\\frac{4}{3}$$", "$$\\frac{5}{2}-\\frac{4}{3}=\\frac{15}{6}-\\frac{8}{6}=\\frac{7}{6}$$"], ["$$\\left(\\frac{2}{3}-\\frac{9}{5}\\right)\\cdot\\left(-\\frac{15}{34}\\right)$$", "$$\\left(\\frac{10}{15}-\\frac{27}{15}\\right)\\cdot-\\frac{15}{34}=-\\frac{17}{15}\\cdot-\\frac{15}{34}=\\frac{1}{2}$$"], ["$$\\left(\\frac{5}{2}-\\frac{7}{5}\\right)\\cdot\\frac{50}{33}$$", "$$\\left(\\frac{25}{10}-\\frac{14}{10}\\right)\\cdot\\frac{50}{33}=\\frac{11}{10}\\cdot\\frac{50}{33}=\\frac{5}{3}$$"], ["$$\\left(\\frac{9}{2}-\\frac{7}{5}\\right):\\frac{31}{15}$$", "$$\\left(\\frac{45}{10}-\\frac{14}{10}\\right):\\frac{31}{15}=\\frac{31}{10}:\\frac{31}{15}=\\frac{3}{2}$$"], ["$$\\frac{3}{5}:\\frac{18}{65}-\\frac{2}{3}$$", "$$\\frac{13}{6}-\\frac{2}{3}=\\frac{13}{6}-\\frac{4}{6}=\\frac{3}{2}$$"], ["$$\\left(\\frac{7}{4}-\\frac{3}{2}\\right)\\cdot\\frac{8}{3}$$", "$$\\left(\\frac{7}{4}-\\frac{6}{4}\\right)\\cdot\\frac{8}{3}=\\frac{1}{4}\\cdot\\frac{8}{3}=\\frac{2}{3}$$"], ["$$\\left(\\frac{2}{3}-\\frac{5}{2}\\right):\\frac{11}{7}$$", "$$\\left(\\frac{4}{6}-\\frac{15}{6}\\right):\\frac{11}{7}=-\\frac{11}{6}:\\frac{11}{7}=-\\frac{7}{6}$$"]],
 " &nbsp; &nbsp; "); " &nbsp; &nbsp; ");
 </JS> </JS>
 <HTML> <HTML>
-<div id="exobruchrechnen2"></div>+<div id="exobruchrechnen3"></div>
  
 </HTML> </HTML>
 <hidden Lösungen> <hidden Lösungen>
 <HTML> <HTML>
-<div id="solbruchrechnen2"></div>+<div id="solbruchrechnen3"></div>
 </HTML> </HTML>
 </hidden> </hidden>
  • lehrkraefte/ks/enp.1641203726.txt.gz
  • Last modified: 2022/01/03 10:55
  • by Simon Knaus