2-7
ﻑﻮﺳ،(ﺔﻔﻠﺘﺨﻣ ﺭﻮﺴﻜﻟ ﺔﻨﻤﻀﺘﻣ) ﺮﺴﻜﻟﺍ ﻞﺒﻗ ﺓﺮﺷﺎﺒﻣ ﺎﻬﻨﻣ ﺏﺮﻀﻟﺍ ﺔﻣﻼﻋ ﻑﺬﺣ ﰎ ﻲﺘﻟﺍ ﺔﻴﺑﺎﺴﳊﺍ ﺔﻴﻠﻤﻌﻟﺍ ﺀﺍﺩﺄﺑ ﺖﻤﻗ ﺍﺫﺍ
.ﻩﺎﻧﺩﺃ ﺔﻠﺜﻣﻷﺍ ﻲﻓ ﲔﺒﻣ ﻮﻫ ﺎﻤﻛ ﺎﻴﺋﺎﻘﻠﺗ ﺱﺍﻮﻗﻷﺍ ﻞﺧﺪﺗ
(
2 ×
3
1
):
3
1
2
→
3
1
2
( )
ﻝﺎﺜﳌﺍ
(
sin 2 ×
5
4
): sin
5
4
2
→ sin
( )
5
4
2
ﻝﺎﺜﳌﺍ
ﺀﺎﻄﺧﻷﺍ ﻭ ﺕﺍﺪﺋﺍﺰﻟﺍ k
ﻰﻠﻋ ﺄﻄﳋﺍ ﺔﻟﺎﺳﺮﻟ ﺽﺮﻌﺘﻟﺍ ﺐﺒﺴﺗ ﺔﻴﻧﻮﻧﺎﻗ ﺮﻴﻏ ﺕﻼﺧﺪﳌ ﺔﻟﻭﺎﺤﻣ ﻭﺃ ﺓﺩﺪﶈﺍ ﺕﺎﺑﺎﺴﳊﺍ ﻕﺎﻄﻧ ﻭﺃ ﺓﺪﺋﺍﺰﻟﺍ ﺕﻼﺧﺪﳌﺍ ﺔﻟﺎﺣ ﻲﻓ
ﺔﻟﺎﺳﺭ ﻝﻭﺪﺟ" ﺮﻈﻧﺃ ، ﻞﻴﺻﺎﻔﺘﻟ .ﺄﻄﳋﺍ ﺔﻟﺎﺳﺭ ﺽﺮﻌﺗ ﲔﺣ ﺔﻠﺒﻘﳌﺍ ﺔﻴﺑﺎﺴﳊﺍ ﺔﻴﻠﻤﻌﻟﺍ ﺀﺍﺮﺟﺍ ﻦﻜﻤﳌﺍ ﻦﻣ ﺲﻴﻠﻓ .ﺔﺷﺎﺸﻟﺍ
.
α-1 ﺔﺤﻔﺻ ﻲﻓ "ﺄﻄﳋﺍ
ﺔﻴﻠﻤﻌﻟﺍ ﻰﻟﺍ ﺓﺩﻮﻌﻟﺍ ﻭ ﺄﻄﳋﺍ ﺢﺴﳌ
J ﻂﻐﺿﺍ .ﺄﻄﳋﺍ ﺔﻟﺎﺳﺭ ﺽﺮﻌﺗ ﲔﺣ ﻞﻤﻌﻳ ﻻ ﺔﺒﺳﺎﳊﺍ ﺢﻴﺗﺎﻔﻣ ﻦﻣ ﺮﻴﺜﻜﻟﺍ •
.ﺔﻴﻌﻴﺒﻄﻟﺍ
ﺓﺮﻛﺍﺬﻟﺍ ﺓﺭﺪﻗ k
ﺪﺣﺍﻭ ﻡﺪﺨﺘﺴﺗ ﻲﺘﻟﺍ ﻒﺋﺎﻇﻮﻟﺍ ﺾﻌﺒﻓ .ﺖﻳﺎﺑ ﲔﻨﺛﺍ ﻭﺃ ﺖﻳﺎﺑ ﺪﺣﺍﻭ ﺎﻣﺇ ﻡﺪﺨﺘﺴﻴﻓ، ﺔﻴﻠﻤﻋ ﺡﺎﺘﻔﻣ ﻱﺍ ﻂﻐﻀﺗ ﺓﺮﻣ ﻞﻛ ﻲﻓ
.
π ﻭ ' ﻭ ln ﻭ log ﻭ tan ﻭ cos ﻭ sin ﻭ d ﻭ c ﻭ b : ﻲﻫ ﺖﻳﺎﺑ
DrawGraph ﻭ
Return ﻭ For ﻭ If ﻭ Xmin ﻭ Vct ﻭ Mat ﻭ d/dx( : ﻲﻫ ﺖﻳﺎﺑ ﲔﻨﺛﺍ ﻡﺪﺨﺘﺴﺗ ﻲﺘﻟﺍ ﻒﺋﺎﻇﻮﻟﺍ ﺾﻌﺑﻭ
.a
n +1
ﻭ Sum ﻭ PxIOn ﻭ SortA( ﻭ
ﺕﺎﺟﺮﺍ/ﺕﻼﺧﺪﳌﺍ ﻊﺿﻭ ﻭ ﺔﻴﻄﳋﺍ ﺕﺎﺟﺮﺍ/ﺕﻼﺧﺪﳌﺍ ﻊﺿﻭ ﻲﻓ ﺔﻔﻠﺘﺨﻣ ﺮﻣﺍﻭﻻﺍ ﻭ ﻒﺋﺎﻇﻮﻟﺍ ﻝﺎﺧﺩﻹ ﺔﺑﻮﻠﻄﳌﺍ ﺖﻳﺎﺒﻟﺍ ﺩﺪﻋ •
ﺔﺤﻔﺻ ﺮﻈﻧﺍ ، ﺔﻴﺿﺎﻳﺮﻟﺍ ﺕﺎﺟﺮﺍ/ﺕﻼﺧﺪﳌﺍ ﻊﺿﻭ ﻲﻓ ﻒﺋﺎﻇﻮﻟﺍ ﻦﻣ ﻞﻜﻟ ﺏﻮﻠﻄﳌﺍ ﺖﻳﺎﺒﻟﺍ ﺩﺪﻋ ﻦﻋ ﻞﻴﺻﺎﻔﺘﻠﻟ .ﺔﻴﺿﺎﻳﺮﻟﺍ
.
1-16
ﺔﺻﺎﳋﺍ ﻒﺋﺎﻇﻮﻟﺍ .2
ﺕﺍﺮﻴﻐﺘﳌﺍ ﻡﺍﺪﺨﺘﺳﺎﺑ ﺔﻴﺑﺎﺴﳊﺍ ﺔﻴﻠﻤﻌﻟﺍ k
ﻝﺎﺜﻤﻟﺍ ﻞﻤﻌﻟﺍ ﺽﺮﻌﻟﺍ
193.2 aav(A) w
193.2
193.2 ÷ 23 = 8.4
av(A) /23 w
8.4
193.2 ÷ 28 = 6.9
av(A) /28 w
6.9
ﺓﺮﻛﺍﺬﻟﺍ k
(ﺎﻔﻟﺍ ﺓﺮﻛﺍﺬﻟﺍ) ﺕﺍﺮﻴﻐﺘﻣ u
ﻞﺧﺍﺩ ﻲﻓ ﺎﻬﻣﺍﺪﺨﺘﺳﺍ ﺪﻳﺮﺗ ﻲﺘﻟﺍ ﻢﻴﻘﻟﺍ ﻦﻳﺰﺨﺘﻟ ﺕﺍﺮﻴﻐﺘﳌﺍ ﻡﺍﺪﺨﺘﺳﺍ ﻦﻜﳝ .ﺭﺎﻴﻌﻤﻛ ﺮﻴﻐﺘﻣ 28 ﺏ ﻲﺗﺄﺗ ﺔﻴﺑﺎﺴﳊﺍ ﺔﻴﻠﻤﻌﻟﺍ
.
θ
ﻭ r ﻭ ﻱﺪﺠﺑﺍ ﺎﻓﺮﺣ ﻦﻳﺮﺸﻋﻭ ﺖﺴﺑ ﻲﻨﺒﺗ ﻲﺘﻟﺍ ، ﺪﺣﺍﻭ ﻑﺮﺣ ﻦﻣ ﺀﺎﻤﺳﺎﺑ ﺕﺍﺮﻴﻐﺘﳌﺍ ﻒﻳﺮﻌﺗ ﻢﺘﻳ ﻭ .ﺔﻴﺑﺎﺴﳊﺍ ﺕﺎﻴﻠﻤﻌﻟﺍ
.ﻞﻴﻟﺪﻠﻟ ﲔﻤﻗﺭ ﻭ ﻱﺮﺸﻌﻟﺍ ﺀﺰﺠﻠﻟ ﺎﻤﻗﺭ
15 ﻲﻫ ﺕﺍﺮﻴﻐﺘﻤﻠﻟ ﺔﻨ
ﹼ
ﻴﻌﻣ ﺔﻤﻴﻗ ﻰﺼﻗﺃ ﻥﻮﻜﺗﻭ
ﺔﺒﺳﺎﳊﺍ ﺀﺎﻔﻃﺇ ﲔﺣ ﻰﻟﺇ ﺕﺍﺮﻴﻐﺘﳌﺍ ﺕﺎﻳﻮﺘﺤﻣ ﻆﻔﺣ ﻢﺘﻳ •
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