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‫المدزظت االعدادَت الععُدة واد اللُل‬

‫اوجاش االظخاذ . محعه غساَسٌ‬

‫فسض حالُفٍ عدد 10 فٍ السَاضُاث‬
‫المعخىي ثامىت اظاظٍ‬

‫3102-2102‬

‫المدة الصمىُت 06 دق‬

‫االظم ....................................... اللقب .......................................... السقم .............................‬

‫حمسَه عدد 01 . (5.4 وقاط)‬
‫1) احعب ماَلٍ .‬
‫................................ 𝟐𝟏 − 𝟖𝟏𝟑−‬
‫=‬

‫.........................................=. 𝟐𝟏− − 𝟖𝟏𝟑− .‬
‫................................................................ =‬
‫𝟐𝟏 − 𝟖𝟏𝟑 .‬
‫..........................................=‬
‫...............................................=.‬

‫................................................=‬
‫..............................=𝟐𝟏− − 𝟖𝟏𝟑‬
‫................................................=‬

‫2) احعب العبازاث الخالُت‬
‫)𝟒𝟏 − 𝟑𝟏−( − 𝟕𝟐−‬
‫................................................................................................=‬
‫= 𝟏𝟐 − 𝟐𝟏− + 𝟎𝟏𝟑.‬
‫.......................................................................................................‬
‫= 𝟎𝟐− − 𝟎𝟖𝟏 + 𝟎𝟎𝟏−‬
‫.........................................................................................................‬
‫......................................................................................=. 𝟕𝟕 − 𝟔𝟏 − 𝟓𝟏 − 𝟐𝟑 − 𝟕𝟕 − 𝟐𝟏 −‬
‫........................................................................................................................................................‬

‫حمسَه عدد 02 . (5.5 وقاط)‬
‫1(‬

‫اوجد العدد الىعبٍ ‪ a‬فٍ الحاالث الخالُت‬
‫𝟓− = 𝟗− + 𝒂𝟐𝟑 = 𝟏𝟒 + 𝒂 − 𝟎 = 𝟔− + 𝒂‬
‫..…………………………‬
‫..……………………………‬

‫……………………………‬

‫..…………………………‬

‫..…………………………………‬

‫……………………………‬

‫2) وعخبس العبازة الحسفُت الخالُت حُث ‪ a‬و‪ b‬عددان وعبُان .‬

‫‪ ‬احرف االقىاض ثم اخخصس الً اقصً حد العبازة ‪A‬‬
‫.......................................................................................................................................=‬
‫‪A‬‬
‫........................................................................................................................................‬
‫‪ ‬اوجد قُمت العبازة ‪ A‬اذا علمج ان ‪a‬و‪ b‬مخقابالن .‬
‫.......................................................................................................................................=‬
‫‪A‬‬
‫‪‬‬

‫اوجد المجمىع ‪ a+b‬اذا علمج ان .‬

‫0 =‪A‬‬

‫......................................................................................................................................................‬
‫حمسَه عدد 30 . (01 وقاط )‬
‫(‪ )O,I,J‬معُىا فٍ المعخىٌ حُث‪ OI=OJ=1cm‬و‬

‫(‪)OJ( ⊥ (OI‬‬

‫1 - عُه الىقاط : (2, 3-)‪ A‬و (2,‪3(B‬‬
‫2222- بُه ان المثلث ‪ OBA‬مخقاَط الضلعُه .‬
‫....................................................................................................................................................‬
‫....................................................................................................................................................‬
‫....................................................................................................................................................‬
‫3- عُه الىقطت ‪ C‬مىاظسة ‪ B‬بالىعبت للمحىز (‪ )OI‬ثم حدد احداثُاحها.‬
‫...................................................................................................................................................‬
‫4- بُه المثلث ‪ ABC‬قائم الصاوَت فٍ ‪.B‬‬
‫....................................................................................................................................................‬
‫....................................................................................................................................................‬
‫....................................................................................................................................................‬
‫6-عُه الىقطت (2-,3-)‪ D‬ثم بُه اوها مىاظسة للىقطت ‪.B‬‬
‫....................................................................................................................................................‬
‫....................................................................................................................................................‬
‫6-بُه ان السباعٍ ‪ ABCD‬معخطُل.‬
‫....................................................................................................................................................‬
‫....................................................................................................................................................‬
‫....................................................................................................................................................‬
‫.‬

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Devoir+de+synthèse+n°1+ +math+-+8ème+(2012-2013)++mr+grairi+mohsen

  • 1. ‫المدزظت االعدادَت الععُدة واد اللُل‬ ‫اوجاش االظخاذ . محعه غساَسٌ‬ ‫فسض حالُفٍ عدد 10 فٍ السَاضُاث‬ ‫المعخىي ثامىت اظاظٍ‬ ‫3102-2102‬ ‫المدة الصمىُت 06 دق‬ ‫االظم ....................................... اللقب .......................................... السقم .............................‬ ‫حمسَه عدد 01 . (5.4 وقاط)‬ ‫1) احعب ماَلٍ .‬ ‫................................ 𝟐𝟏 − 𝟖𝟏𝟑−‬ ‫=‬ ‫.........................................=. 𝟐𝟏− − 𝟖𝟏𝟑− .‬ ‫................................................................ =‬ ‫𝟐𝟏 − 𝟖𝟏𝟑 .‬ ‫..........................................=‬ ‫...............................................=.‬ ‫................................................=‬ ‫..............................=𝟐𝟏− − 𝟖𝟏𝟑‬ ‫................................................=‬ ‫2) احعب العبازاث الخالُت‬ ‫)𝟒𝟏 − 𝟑𝟏−( − 𝟕𝟐−‬ ‫................................................................................................=‬ ‫= 𝟏𝟐 − 𝟐𝟏− + 𝟎𝟏𝟑.‬ ‫.......................................................................................................‬ ‫= 𝟎𝟐− − 𝟎𝟖𝟏 + 𝟎𝟎𝟏−‬ ‫.........................................................................................................‬ ‫......................................................................................=. 𝟕𝟕 − 𝟔𝟏 − 𝟓𝟏 − 𝟐𝟑 − 𝟕𝟕 − 𝟐𝟏 −‬ ‫........................................................................................................................................................‬ ‫حمسَه عدد 02 . (5.5 وقاط)‬ ‫1(‬ ‫اوجد العدد الىعبٍ ‪ a‬فٍ الحاالث الخالُت‬ ‫𝟓− = 𝟗− + 𝒂𝟐𝟑 = 𝟏𝟒 + 𝒂 − 𝟎 = 𝟔− + 𝒂‬ ‫..…………………………‬ ‫..……………………………‬ ‫……………………………‬ ‫..…………………………‬ ‫..…………………………………‬ ‫……………………………‬ ‫2) وعخبس العبازة الحسفُت الخالُت حُث ‪ a‬و‪ b‬عددان وعبُان .‬ ‫‪ ‬احرف االقىاض ثم اخخصس الً اقصً حد العبازة ‪A‬‬ ‫.......................................................................................................................................=‬ ‫‪A‬‬ ‫........................................................................................................................................‬ ‫‪ ‬اوجد قُمت العبازة ‪ A‬اذا علمج ان ‪a‬و‪ b‬مخقابالن .‬ ‫.......................................................................................................................................=‬ ‫‪A‬‬ ‫‪‬‬ ‫اوجد المجمىع ‪ a+b‬اذا علمج ان .‬ ‫0 =‪A‬‬ ‫......................................................................................................................................................‬
  • 2. ‫حمسَه عدد 30 . (01 وقاط )‬ ‫(‪ )O,I,J‬معُىا فٍ المعخىٌ حُث‪ OI=OJ=1cm‬و‬ ‫(‪)OJ( ⊥ (OI‬‬ ‫1 - عُه الىقاط : (2, 3-)‪ A‬و (2,‪3(B‬‬ ‫2222- بُه ان المثلث ‪ OBA‬مخقاَط الضلعُه .‬ ‫....................................................................................................................................................‬ ‫....................................................................................................................................................‬ ‫....................................................................................................................................................‬ ‫3- عُه الىقطت ‪ C‬مىاظسة ‪ B‬بالىعبت للمحىز (‪ )OI‬ثم حدد احداثُاحها.‬ ‫...................................................................................................................................................‬ ‫4- بُه المثلث ‪ ABC‬قائم الصاوَت فٍ ‪.B‬‬ ‫....................................................................................................................................................‬ ‫....................................................................................................................................................‬ ‫....................................................................................................................................................‬ ‫6-عُه الىقطت (2-,3-)‪ D‬ثم بُه اوها مىاظسة للىقطت ‪.B‬‬ ‫....................................................................................................................................................‬ ‫....................................................................................................................................................‬ ‫6-بُه ان السباعٍ ‪ ABCD‬معخطُل.‬ ‫....................................................................................................................................................‬ ‫....................................................................................................................................................‬ ‫....................................................................................................................................................‬ ‫.‬