حلول الأسئلة

السؤال

تحقق من فهمك من خلال الآتي:

الحل

٩right to left square root of � × ١١right to left square root of ١

٩right to left square root of � × ١١right to left square root of ١ = ٩٩right to left square root of � × right to left ١١ over × right to left ١١ over

= ٩٩right to left ١١ over × right to left ٣ over × right to left ٣ over

= ٤٩٥ right to left ٣ over

شاهد حلول جميع الاسئلة

حل أسئلة تحقق من فهمك

العمليات على العبارات الجذرية

تحقق من فهمك

١أ) ٣right to left ٣ over - ٥right to left ٣ over + ٤right to left ٣ over

٣right to left ٣ over - ٥right to left ٣ over + ٤right to left ١١ over = (٣ - ٥ + ٤)right to left ٣ over = ٢right to left ٣ over

١ب) ٦right to left ٣ over + ٢right to left ٣ over - ٩right to left ٣ over

٦right to left ٣ over + ٢right to left ٣ over - ٩right to left ٣ over = (٦ + ٢ - ٩)right to left ٣ over = - right to left ٣ over

١جـ) ١٥right to left ٣ over - ١٤right to left ٣ over + ٦right to left ٣ over - ١١right to left ٣ over

١٥right to left ٣ over - ١٤right to left ٣ over + ٦right to left ٣ over - ١١right to left ٣ over = (٤ - ٦)right to left ٣ over + (-١٤ + ٦)right to left ٣ over

= ٤right to left ٣ over

١د) right to left ٣ over + ٣right to left ٣ over + -٦right to left ٣ over + ٣right to left ٣ over

right to left ٣ over + ٣right to left ٣ over + -٦right to left ٣ over + ٣right to left ٣ over = (٤ - ٦)right to left ٣ over + (٣ + ٣)right to left ٣ over

= ٢right to left ٣ over

تحقق من فهمك

٢أ) ٤right to left ٣ over + ٢right to left ٣ over

٤right to left ٣ over + ٢right to left ٣ over = (٤right to left ٣ over ) + ٢(right to left ٣ over )

= ١٢right to left ٣ over + ٤(right to left ٣ over )

= ١٢right to left ٣ over + ٤right to left ٣ over

٢ب) ٤right to left ٣ over - ٦right to left ٣ over

٤right to left ١ over � - ٦right to left ١ over � = (٤right to left ١ over �) - ٦(right to left ١ over �)

= ٨right to left ١ over � - ١٢(right to left ١ over �)

= ٨right to left ١ over �

= - ١٦right to left ١ over �

٢جـ) ٣right to left ١ over � + right to left ١ over � - right to left ١ over �

٣right to left ١ over � + right to left ١ over � - right to left ١ over � = ٣(right to left ١ over �) + (right to left ١ over �) - (right to left ١ over �)

= ٩right to left ١ over � + ٢right to left ١ over � - ٧right to left ١ over �

= ٤right to left ١ over �

٢د) right to left ١ over � - right to left ١ over � + right to left ١ over �

right to left ١ over � - right to left ١ over � + right to left ١ over � = (right to left ١ over �) - (right to left ١ over �) + (right to left ١ over �

= ٢right to left ١ over � - ٣right to left ١ over �right to left ١ over �

= ٣right to left ١ over �

تحقق من فهمك

٣أ) ٢right to left ١ over � × ٧right to left ١ over �

٢right to left ١ over � × ٧right to left ١ over � = ١٤right to left ١ over �

= ١٤right to left ١ over � × right to left ١ over �

= ١٤right to left ١ over �

= ١٤right to left ١ over �

= ٤٢right to left ١ over �

٣ب) ٩right to left ١ over � × ١١right to left ١ over �

٩right to left ١ over � × ١١right to left ١ over � = ٩٩right to left ١ over � × right to left ١ over � × right to left ١ over �

= ٩٩right to left ١ over � × right to left ١ over � × right to left ١ over �

= ٤٩٥right to left ١ over �

٣جـ) ٣right to left ١ over �right to left ١ over �)

٣right to left ١ over �right to left ١ over �) = (٣right to left ١ over �) + (٣right to left ١ over �)

= ١٢right to left ١ over � × ١٨right to left ١ over �

= ١٢right to left ١ over � + ٣٦

٣د) ٥right to left ١ over �(right to left ١ over �)

٥right to left ١ over �(right to left ١ over �) = ٥right to left ١ over �) - (٥right to left ١ over �)

= ١٥right to left ١ over � - ٥right to left ١ over �

= ١٥right to left ١ over � - ١٥

تحقق من فهمك

٤) هندسة: يمكن إيجاد مساحة معين باستعمال المعادلة م = right to left ١ over �ق١ × ق٢، حيث ق١ ق٢ طولا قطري المعين، ما مساحة المعين في الشكل المجاور؟

متوازي الاضلاع

م = right to left ١ over �right to left ١ over �) (٦right to left ١ over �)

= right to left ١ over �right to left ١ over �right to left ١ over � - ٢right to left ١ over �) - ٣right to left ١ over �right to left ١ over � - ٢right to left ١ over �)]

= right to left ١ over � (٤٨ × ٥ - ١٦right to left ١ over � - ١٨right to left ١ over � + ٦ × ٣right to left ١ over �)

= right to left ١ over �(٢٤٠ - ١٦right to left ١ over � - ١٨right to left ١ over � + ١٨right to left ١ over �)

= ١٢٠ - ٨right to left ١ over � - ٩right to left ١ over � + ٩right to left ١ over �

مشاركة الدرس

السؤال

تحقق من فهمك من خلال الآتي:

الحل

٩right to left ١ over � × ١١right to left ١ over �

٩right to left ١ over � × ١١right to left ١ over � = ٩٩right to left ٣ over × right to left ٣ over × right to left ٣ over

= ٩٩right to left ٣ over × right to left ٣ over × right to left ٣ over

= ٤٩٥ right to left ٣ over

حل أسئلة تحقق من فهمك

العمليات على العبارات الجذرية

تحقق من فهمك

١أ) ٣right to left ٣ over - ٥right to left ٣ over + ٤right to left ٣ over

٣right to left ٣ over - ٥right to left ٣ over + ٤right to left ٣ over = (٣ - ٥ + ٤)right to left ٣ over = ٢right to left ٣ over

١ب) ٦right to left ٣ over + ٢right to left ٣ over - ٩right to left ٣ over

٦right to left ٣ over + ٢right to left ٣ over - ٩right to left ٣ over = (٦ + ٢ - ٩)right to left ٣ over = - right to left ٣ over

١جـ) ١٥right to left ٣ over - ١٤right to left ٣ over + ٦right to left ٣ over - ١١right to left ٣ over

١٥right to left ٣ over - ١٤right to left ٣ over + ٦right to left ٣ over - ١١right to left ٣ over = (٤ - ٦)right to left ٣ over + (-١٤ + ٦)right to left ٣ over

= ٤right to left ٣ over

١د) right to left ٣ over + ٣right to left ٣ over + -٦right to left ٣ over + ٣right to left ٣ over

right to left ٣ over + ٣right to left ٣ over + -٦right to left ٣ over + ٣right to left ٣ over = (٤ - ٦)right to left ٣ over + (٣ + ٣)right to left ٣ over

= ٢right to left ٣ over

تحقق من فهمك

٢أ) ٤right to left ٣ over + ٢right to left ٣ over

٤right to left ٣ over + ٢right to left ٣ over = (٤right to left ٣ over ) + ٢(right to left ٣ over )

= ١٢right to left ٣ over + ٤(right to left ٣ over )

= ١٢right to left ٣ over + ٤right to left ٣ over

٢ب) ٤right to left ٣ over - ٦right to left ٣ over

٤right to left ٣ over - ٦right to left ٣ over = (٤right to left ٣ over ) - ٦(right to left ٣ over )

= ٨right to left ٣ over - ١٢(right to left ٣ over )

= ٨right to left ٣ over

= - ١٦right to left ٣ over

٢جـ) ٣right to left ٣ over + right to left ٣ over - right to left ٣ over

٣right to left ٣ over + right to left ٣ over - right to left ٣ over = ٣(right to left ٣ over ) + (right to left ٣ over ) - (right to left ٣ over )

= ٩right to left ٣ over + ٢right to left ٣ over - ٧right to left ٣ over

= ٤right to left ٣ over

٢د) right to left ٣ over - right to left ٣ over + right to left ٣ over

right to left ٣ over - right to left ٣ over + right to left ٣ over = (right to left ٣ over ) - (right to left ٣ over ) + (right to left ٣ over

= ٢right to left ٣ over - ٣right to left ٣ over right to left ٣ over

= ٣right to left ٣ over

تحقق من فهمك

٣أ) ٢right to left ٣ over × ٧right to left ٣ over

٢right to left ٣ over × ٧right to left ٣ over = ١٤right to left ٣ over

= ١٤right to left ٣ over × right to left ٣ over

= ١٤right to left ٣ over

= ١٤right to left ٣ over

= ٤٢right to left ٣ over

٣ب) ٩right to left ٣ over × ١١right to left ٣ over

٩right to left ٣ over × ١١right to left ٣ over = ٩٩right to left ٣ over × right to left ٣ over × right to left ٣ over

= ٩٩right to left ٣ over × right to left ٣ over × right to left ٣ over

= ٤٩٥right to left ٣ over

٣جـ) ٣right to left ٣ over right to left ٣ over )

٣right to left ٣ over right to left ٣ over ) = (٣right to left ٣ over ) + (٣right to left ٣ over )

= ١٢right to left ٣ over × ١٨right to left ٣ over

= ١٢right to left ٣ over + ٣٦

٣د) ٥right to left ٣ over (right to left ٣ over )

٥right to left ٣ over (right to left ٣ over ) = ٥right to left ٣ over ) - (٥right to left ٣ over )

= ١٥right to left ٣ over - ٥right to left ٣ over

= ١٥right to left ٣ over - ١٥

تحقق من فهمك

٤) هندسة: يمكن إيجاد مساحة معين باستعمال المعادلة م = right to left ٣ over ق١ × ق٢، حيث ق١ ق٢ طولا قطري المعين، ما مساحة المعين في الشكل المجاور؟

متوازي الاضلاع

م = right to left ٣ over right to left ٣ over ) (٦right to left ٣ over )

= right to left ٣ over right to left ٣ over right to left ٣ over - ٢right to left ٣ over ) - ٣right to left ٣ over right to left ٣ over - ٢right to left ٣ over )]

= right to left ٣ over (٤٨ × ٥ - ١٦right to left ٣ over - ١٨right to left ٣ over + ٦ × ٣right to left ٣ over )

= right to left ٣ over (٢٤٠ - ١٦right to left ٣ over - ١٨right to left ٣ over + ١٨right to left ٣ over )

= ١٢٠ - ٨right to left ٣ over - ٩right to left ٣ over + ٩right to left ٣ over