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‫العالقة‬‫السوايا‬
‫انتكامم‬
2،3/4،5/6،7/7،8/2،5/3،4/6،7/7،8
‫أي‬‫مجمىعهما‬ ‫متكاملتان‬ ‫زاويتيه‬6
271
‫انتحانف‬
6،5/7،4
‫مجمىعهما‬ (6
271)
‫انتناظر‬
6،2/7،3/7،5/8،4
(‫أي‬‫متساويتان‬ ‫متناظرتان‬ ‫زاويتان‬)
‫انتبادل‬
7،5/6،4
(‫أي‬) ‫متساويتان‬ ‫متبادلتان‬ ‫زاويتان‬
‫بانرأس‬ ‫انتقابم‬
4،2/5،3/8،6/7،7
(‫أي‬) ‫متساويتان‬ ‫بالراش‬ ‫متقابلتان‬ ‫زاويتان‬
‫فيثاغوروس‬ ‫نظرية‬‫الوتر‬ :2
‫االول‬ ‫الضلع‬ =2
‫الثاني‬ ‫الضلع‬ +2
‫المثلث‬ ‫زوايا‬ ‫مجموع‬=6
271**‫المثلث‬ ‫في‬ ‫البعيدتين‬ ‫الداخليتين‬ ‫الزاويتين‬ ‫مجموع‬ = ‫للمثلث‬ ‫الخارجية‬ ‫الزاوية‬ ‫قياس‬
‫الدائرة‬ ‫محيط‬=2/ ‫ط‬ ‫نق‬‫الدائرة‬ ‫مساحة‬‫نق‬ =2
‫ط‬/‫المستطيل‬ ‫مساحة‬‫الطول‬ =X‫العرض‬
‫المرب‬ ‫مساحة‬‫ع‬‫الضلع‬ =2
/‫االضالع‬ ‫لمتوازي‬ ‫الجانبية‬ ‫المساحة‬‫القاعدة‬ ‫محيط‬ =X‫االرتفاع‬
‫المثلث‬ ‫مساحة‬=1X‫القاعدة‬X/ ‫االرتفاع‬‫االضالع‬ ‫متساوي‬ ‫مثلث‬ ‫مساحة‬=X‫الضلع‬2
24
: ‫الدائري‬ ‫القطاع‬
= ‫القطاع‬ ‫مساحة‬ = ‫القوس‬ ‫طول‬‫هـ‬() ‫العام‬ ‫القانون‬
‫الدائرة‬ ‫محيط‬‫الدائرة‬ ‫مساحة‬363
‫هـ‬ ‫ط‬ ‫نق‬ = ‫القوس‬ ‫طول‬****‫نق‬ = ‫القطاع‬ ‫مساحة‬2
‫هـ‬ ‫ط‬
183****363
: ‫المخروط‬
‫إليجاد‬‫فيثاغوروس‬ ‫نظرية‬ ‫قانون‬ ‫نستخدم‬ ‫المخروط‬ ‫ارتفاع‬ ‫أو‬ ‫المخروط‬ ‫قاعدة‬ ‫قطر‬ ‫نصف‬ ‫أو‬ ‫الراسم‬ ‫طول‬
: *** ‫مالحظه‬ ***‫الوتر‬ ‫نعتبره‬ ‫الراسم‬ ‫طول‬
‫ا‬‫ط‬ ‫نق‬ = ‫للمخروط‬ ‫الجانبية‬ ‫لمساحة‬X‫الراسم‬
‫الكلية‬ ‫المساحة‬‫للمخروط‬) ‫دائرة‬ ‫هي‬ ‫القاعدة‬ ( ‫القاعدة‬ ‫مساحة‬ + ‫الجانبية‬ ‫المساحة‬ =
‫حج‬= ‫المخروط‬ ‫م‬1X‫القاعدة‬ ‫مساحة‬X‫االرتفاع‬
3
‫الهرم‬‫المنتظم‬ ‫القائم‬:
‫االوجه‬ ‫احد‬ ‫مساحة‬ = ‫منتظم‬ ‫قائم‬ ‫لهرم‬ ‫الجانبية‬ ‫المساحة‬X) ‫مثلثات‬ ‫هي‬ ‫الجانبيه‬ ‫االوجه‬ ( ‫االوجه‬ ‫عدد‬
) ‫االضالع‬ ‫متساوي‬ ‫مثلث‬ ‫او‬ ‫مربع‬ ‫اما‬ ‫القاعدة‬ ( ‫القاعدة‬ ‫مساحة‬ + ‫الجانبية‬ ‫المساحة‬ = ‫منتظم‬ ‫قائم‬ ‫لهرم‬ ‫الكلية‬ ‫المساحة‬
‫عاشور‬ ‫سائد‬ : ‫املادة‬ ‫مدرس‬‫السابع‬ ‫الصف‬ ‫قوانني‬ ‫ورقة‬–‫رقم‬1
12
43
56
87

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قوانين السابع فصل 2

  • 1. ‫العالقة‬‫السوايا‬ ‫انتكامم‬ 2،3/4،5/6،7/7،8/2،5/3،4/6،7/7،8 ‫أي‬‫مجمىعهما‬ ‫متكاملتان‬ ‫زاويتيه‬6 271 ‫انتحانف‬ 6،5/7،4 ‫مجمىعهما‬ (6 271) ‫انتناظر‬ 6،2/7،3/7،5/8،4 (‫أي‬‫متساويتان‬ ‫متناظرتان‬ ‫زاويتان‬) ‫انتبادل‬ 7،5/6،4 (‫أي‬) ‫متساويتان‬ ‫متبادلتان‬ ‫زاويتان‬ ‫بانرأس‬ ‫انتقابم‬ 4،2/5،3/8،6/7،7 (‫أي‬) ‫متساويتان‬ ‫بالراش‬ ‫متقابلتان‬ ‫زاويتان‬ ‫فيثاغوروس‬ ‫نظرية‬‫الوتر‬ :2 ‫االول‬ ‫الضلع‬ =2 ‫الثاني‬ ‫الضلع‬ +2 ‫المثلث‬ ‫زوايا‬ ‫مجموع‬=6 271**‫المثلث‬ ‫في‬ ‫البعيدتين‬ ‫الداخليتين‬ ‫الزاويتين‬ ‫مجموع‬ = ‫للمثلث‬ ‫الخارجية‬ ‫الزاوية‬ ‫قياس‬ ‫الدائرة‬ ‫محيط‬=2/ ‫ط‬ ‫نق‬‫الدائرة‬ ‫مساحة‬‫نق‬ =2 ‫ط‬/‫المستطيل‬ ‫مساحة‬‫الطول‬ =X‫العرض‬ ‫المرب‬ ‫مساحة‬‫ع‬‫الضلع‬ =2 /‫االضالع‬ ‫لمتوازي‬ ‫الجانبية‬ ‫المساحة‬‫القاعدة‬ ‫محيط‬ =X‫االرتفاع‬ ‫المثلث‬ ‫مساحة‬=1X‫القاعدة‬X/ ‫االرتفاع‬‫االضالع‬ ‫متساوي‬ ‫مثلث‬ ‫مساحة‬=X‫الضلع‬2 24 : ‫الدائري‬ ‫القطاع‬ = ‫القطاع‬ ‫مساحة‬ = ‫القوس‬ ‫طول‬‫هـ‬() ‫العام‬ ‫القانون‬ ‫الدائرة‬ ‫محيط‬‫الدائرة‬ ‫مساحة‬363 ‫هـ‬ ‫ط‬ ‫نق‬ = ‫القوس‬ ‫طول‬****‫نق‬ = ‫القطاع‬ ‫مساحة‬2 ‫هـ‬ ‫ط‬ 183****363 : ‫المخروط‬ ‫إليجاد‬‫فيثاغوروس‬ ‫نظرية‬ ‫قانون‬ ‫نستخدم‬ ‫المخروط‬ ‫ارتفاع‬ ‫أو‬ ‫المخروط‬ ‫قاعدة‬ ‫قطر‬ ‫نصف‬ ‫أو‬ ‫الراسم‬ ‫طول‬ : *** ‫مالحظه‬ ***‫الوتر‬ ‫نعتبره‬ ‫الراسم‬ ‫طول‬ ‫ا‬‫ط‬ ‫نق‬ = ‫للمخروط‬ ‫الجانبية‬ ‫لمساحة‬X‫الراسم‬ ‫الكلية‬ ‫المساحة‬‫للمخروط‬) ‫دائرة‬ ‫هي‬ ‫القاعدة‬ ( ‫القاعدة‬ ‫مساحة‬ + ‫الجانبية‬ ‫المساحة‬ = ‫حج‬= ‫المخروط‬ ‫م‬1X‫القاعدة‬ ‫مساحة‬X‫االرتفاع‬ 3 ‫الهرم‬‫المنتظم‬ ‫القائم‬: ‫االوجه‬ ‫احد‬ ‫مساحة‬ = ‫منتظم‬ ‫قائم‬ ‫لهرم‬ ‫الجانبية‬ ‫المساحة‬X) ‫مثلثات‬ ‫هي‬ ‫الجانبيه‬ ‫االوجه‬ ( ‫االوجه‬ ‫عدد‬ ) ‫االضالع‬ ‫متساوي‬ ‫مثلث‬ ‫او‬ ‫مربع‬ ‫اما‬ ‫القاعدة‬ ( ‫القاعدة‬ ‫مساحة‬ + ‫الجانبية‬ ‫المساحة‬ = ‫منتظم‬ ‫قائم‬ ‫لهرم‬ ‫الكلية‬ ‫المساحة‬ ‫عاشور‬ ‫سائد‬ : ‫املادة‬ ‫مدرس‬‫السابع‬ ‫الصف‬ ‫قوانني‬ ‫ورقة‬–‫رقم‬1 12 43 56 87