لوألا ناحتمألا لماكتلاو لض...
Transcript of لوألا ناحتمألا لماكتلاو لض...
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الأمتحان الأول
التفا�ضل والتكامل )باللغة الأملانية(
منوذج اأ�ضئلة
)النموذج »اأ«(
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- عدد أسئلة كراسة االمتحان )19( سؤااًل.- عدد صفحات كراسة االمتحان )28( صفحة.
- تأكد من ترقيم األسئلة، ومن عدد صفحات كراسة االمتحان، فهي مسئوليتك.- زمن االختبار )ساعتان(.
- الدرجة الكلية لالختبار )30( درجة.عزيزي الطالب .. اقرأ هذه التعليمات بعناية :
اقرأ التعليمات جيًدا سواء في مقدمة كراسة االمتحان أو مقدمة األسئلة، وفي ضوئها أجب عن األسئلة.اقرأ السؤال بعناية، وفكر فيه جيدًا قبل البدء في إجابته.
إن األسئلة مترجمة لإليضاح ، والمطلوب اإلجابة بلغة واحدة فقط عن كل سؤال.استخدم القلم الجاف األزرق لإلجابة ، والقلم الرصاص في الرسومات، وعدم استخدام مزيل الكتابة .
عند إجابتك لألس���ئلة المقالية، أجب في المس���احة المخصصة لإلجابة وفي حالة الحاجة لمساحة أخرى يمكن اس���تكمال اإلجابة في صفحات المسودة مع اإلش���ارة إليها ، وإن إجابتك بأكثر من
إجابة سوف يتم تقديرها .مثال:
عند إجابتك عن األسئلة المقالية االختيارية أجب عن )A( أو )B( فقط.عند إجابتك عن أسئلة االختيار من متعدد إن وجدت:
ظلل الدائرة ذات الرمز الدال على اإلجابة الصحيحة تظلياًل كاماًل لكل سؤال.( مثاًل مثال: اإلجابة الصحيحة )
اإلجابة الصحيحة مثاًل
- في حالة ما إذا أجبت إجابة خطأ، ثم قمت بالشطب وأجبت إجابة صحيحة تحسب اإلجابة صحيحة.- وفي حالة ما إذا أجبت إجابة صحيحة ، ثم قمت بالشطب وأجبت إجابة خطأ تحسب اإلجابة خطأ.
ملحوظة :في حالة األسئلة الموضوعية )االختيار من متعدد( إذا تم التظليل على أكثر من رمز أو تم
تكرار اإلجابة ؛ تعتبر اإلجابة خطأ.
يسمح باستخدام اآللة الحاسبة.
i2=-1 , (ω2 , ω , 1) sind die Kubikwurzeln der Einheit .
( i , j , k ) sind die Haupteinheitsvektoren im Raum .
تعليمات مهمة
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1 A - 4 person committee is to be formed out of 9 men and 3 women. The number of committees contain only one woman = .......
3C1 + 9C33C1 * 9C3
3P1 * 9P33P1 + 9P3
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3 The equation of the straight line passes through the two points
is: …………
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4 Answer one of the following two items:(A) If , then find its
cubic roots in the exponential form.
(B) If
find the value of each of the real numbers .
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6 The equation of the sphere with center(2,-3,4) and touches – plane is :
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7 The equation of the plane passes through the point and parallel to the coordinate axes
is: …………
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8 Answer one of the following two items:(A) is a triangle in
which , ,
Find: (i) (ii) The direction component of
in the direction of (B) If are three adjacent
edges in a parallelepiped such that:
Find : (i) The volume of the parallelepiped(ii) The height of the parallelepiped
drawn on the base determined by the two vectors ,
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9In the expansion of ( 2 + 1 ) , If the coefficent of the fourth term equals the coefficent of T13, then the value of = ........
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10 If , such that and = 7, then the value of = ..........
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11 The length of the perpendicular from the point (2 , 3 , 1) to the plane : equals ……… length unit
1 2
3 4
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12 Without expansion the determinant ,Prove that :
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13 If ,then the principle amplitude for the number Z equals ………….
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14 In the Cartesian plane if is the measure of the angle
between and ,then ………
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15 Find the term contains in the expansion of according to the descending
power of , then find the ratio
between the coefficient of this term and the middle term.
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16 Find the different forms of the equation of the plane passes through the point (2 , – 1 , 0) and the vector is perpendicular to it .
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17 If such that and are two real numbers, then (a , b ) = …….
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18 Find the different forms of the equation of the straight line passes through the point(3 , 2 , – 1) and makes equal angles with the positive direc-tions of the coordinate axes .
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19 Solve the following system of linear equations using the inverse matrix:
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