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lehrkraefte:ks:enp [2022/01/10 13:41]
Simon Knaus |
lehrkraefte:ks:enp [2022/01/17 17:17]
Simon Knaus |
| |
| ==== Miniaufgaben ==== | ==== Miniaufgaben ==== |
| === KW 1 === | === KW 3=== |
| | Primfaktorzerlegung von Nenner und Zähler, dann kürzen! |
| | |
| | <JS>miniAufgabe("#exofraction1","#solfraction1",[ |
| | |
| | [ |
| | |
| | "$$\\frac{165}{195}:\\frac{231}{52}$$", |
| | "$$\\frac{4}{21}$$" |
| | ], |
| | [ |
| | |
| | "$$\\frac{45}{50}:\\frac{45}{385}$$", |
| | "$$\\frac{77}{10}$$" |
| | ], |
| | [ |
| | |
| | "$$\\frac{55}{65}:\\frac{55}{143}$$", |
| | "$$\\frac{11}{5}$$" |
| | ], |
| | [ |
| | |
| | "$$\\frac{49}{55}:\\frac{49}{33}$$", |
| | "$$\\frac{3}{5}$$" |
| | ], |
| | [ |
| | |
| | "$$\\frac{147}{165}:\\frac{175}{66}$$", |
| | "$$\\frac{42}{125}$$" |
| | ], |
| | [ |
| | |
| | "$$\\frac{63}{165}:\\frac{245}{847}$$", |
| | "$$\\frac{33}{25}$$" |
| | ], |
| | [ |
| | |
| | "$$\\frac{75}{105}:\\frac{75}{175}$$", |
| | "$$\\frac{5}{3}$$" |
| | ], |
| | [ |
| | |
| | "$$\\frac{175}{165}:\\frac{105}{165}$$", |
| | "$$\\frac{5}{3}$$" |
| | ], |
| | [ |
| | |
| | "$$\\frac{75}{75}:\\frac{27}{50}$$", |
| | "$$\\frac{50}{27}$$" |
| | ], |
| | [ |
| | |
| | "$$\\frac{77}{26}:\\frac{55}{26}$$", |
| | "$$\\frac{7}{5}$$" |
| | ], |
| | [ |
| | |
| | "$$\\frac{105}{165}:\\frac{245}{539}$$", |
| | "$$\\frac{7}{5}$$" |
| | ], |
| | [ |
| | |
| | "$$\\frac{15}{25}:\\frac{9}{35}$$", |
| | "$$\\frac{7}{3}$$" |
| | ], |
| | [ |
| | |
| | "$$\\frac{105}{30}:\\frac{45}{110}$$", |
| | "$$\\frac{77}{9}$$" |
| | ], |
| | [ |
| | |
| | "$$\\frac{385}{78}:\\frac{539}{195}$$", |
| | "$$\\frac{25}{14}$$" |
| | ], |
| | [ |
| | |
| | "$$\\frac{105}{70}:\\frac{245}{385}$$", |
| | "$$\\frac{33}{14}$$" |
| | ], |
| | [ |
| | |
| | "$$\\frac{245}{66}:\\frac{343}{385}$$", |
| | "$$\\frac{25}{6}$$" |
| | ], |
| | [ |
| | |
| | "$$\\frac{15}{35}:\\frac{25}{49}$$", |
| | "$$\\frac{21}{25}$$" |
| | ], |
| | [ |
| | |
| | "$$\\frac{33}{39}:\\frac{55}{143}$$", |
| | "$$\\frac{11}{5}$$" |
| | ], |
| | [ |
| | |
| | "$$\\frac{77}{39}:\\frac{77}{143}$$", |
| | "$$\\frac{11}{3}$$" |
| | ] |
| | ]," ");</JS> |
| | |
| | <HTML> |
| | |
| | <div id="exofraction1"> </div> |
| | |
| | </HTML> |
| | |
| | <hidden Lösungen> |
| | <HTML> |
| | <div id="solfraction1"></div> |
| | </HTML> |
| | </hidden> |
| | === KW 2=== |
| Berechnen Sie: | Berechnen Sie: |
| <JS>miniAufgabe("#exopascal1","#solpascal1",[["$$\\left(\\frac{b}{2}+2 v\\right)^4$$", "$$\\frac{b^4}{16}+b^3 v+6 b^2 v^2+16 b v^3+16 v^4$$"], ["$$(3 a-2 b)^3$$", "$$27 a^3-54 a^2 b+36 a b^2-8 b^3$$"], ["$$\\left(\\frac{c}{3}+3 d\\right)^5$$","$$\\frac{c^5}{243}+\\frac{5 c^4 d}{27}+\\frac{10 c^3 d^2}{3}+30c^2 d^3+135 c d^4+243 d^5$$"], ["$$(2 a-2 b)^3$$", "$$8 a^3-24 a^2 b+24 a b^2-8 b^3$$"], ["$$(c+3 d)^3$$", "$$c^3+9 c^2 d+27 c d^2+27 d^3$$"], ["$$\\left(2u-\\frac{v}{4}\\right)^3$$","$$8 u^3-3 u^2 v+\\frac{3 u v^2}{8}-\\frac{v^3}{64}$$"], ["$$\\left(\\frac{a}{2}-\\frac{b}{3}\\right)^4$$","$$\\frac{a^4}{16}-\\frac{a^3 b}{6}+\\frac{a^2 b^2}{6}-\\frac{2ab^3}{27}+\\frac{b^4}{81}$$"],["$$\\left(\\frac{x}{4}-\\frac{y}{2}\\right)^5$$", "$$\\frac{x^5}{1024}-\\frac{5 x^4 y}{512}+\\frac{5 x^3 y^2}{128}-\\frac{5 x^2 y^3}{64}+\\frac{5 x y^4}{64}-\\frac{y^5}{32}$$"]], | <JS>miniAufgabe("#exopascal1","#solpascal1",[["$$\\left(\\frac{b}{2}+2 v\\right)^4$$", "$$\\frac{b^4}{16}+b^3 v+6 b^2 v^2+16 b v^3+16 v^4$$"], ["$$(3 a-2 b)^3$$", "$$27 a^3-54 a^2 b+36 a b^2-8 b^3$$"], ["$$\\left(\\frac{c}{3}+3 d\\right)^5$$","$$\\frac{c^5}{243}+\\frac{5 c^4 d}{27}+\\frac{10 c^3 d^2}{3}+30c^2 d^3+135 c d^4+243 d^5$$"], ["$$(2 a-2 b)^3$$", "$$8 a^3-24 a^2 b+24 a b^2-8 b^3$$"], ["$$(c+3 d)^3$$", "$$c^3+9 c^2 d+27 c d^2+27 d^3$$"], ["$$\\left(2u-\\frac{v}{4}\\right)^3$$","$$8 u^3-3 u^2 v+\\frac{3 u v^2}{8}-\\frac{v^3}{64}$$"], ["$$\\left(\\frac{a}{2}-\\frac{b}{3}\\right)^4$$","$$\\frac{a^4}{16}-\\frac{a^3 b}{6}+\\frac{a^2 b^2}{6}-\\frac{2ab^3}{27}+\\frac{b^4}{81}$$"],["$$\\left(\\frac{x}{4}-\\frac{y}{2}\\right)^5$$", "$$\\frac{x^5}{1024}-\\frac{5 x^4 y}{512}+\\frac{5 x^3 y^2}{128}-\\frac{5 x^2 y^3}{64}+\\frac{5 x y^4}{64}-\\frac{y^5}{32}$$"]], |