Page 87 - math 12

ً ﺔﻴﺗﺎﻴﺣ ﻞﺋﺎﺴﻣ ﻞﺣﻭ ْ ﺏﺭﺪﺗ
ّ
َ

ْ
ﻲﻓ ْﺖﺷﺮﻓ ،ﺮﺘﻣ x ﺎﻬﻌِﻠﺿ ﻝﻮﻁ ﻞﻜﺸﻟﺍ ﺔﻌﺑﺮﻣ ﺔﻓﺮﻏ :ٌﺩﺎّﺠَﺳ
ﻲﻓ ﺖﺷ ﺮ ُ ُ ﻓ ،ﺮﺘﻣ ُ ٌ 30
ِ
ِ

ﺔﺣﺎﺴﻣ َﻥﺎﻜﻓ ،25m ﺎﻬﺘﺣﺎﺴﻣ ﻞﻜﺸﻟﺍ ﺔﻌﺑﺮﻣ ﺓﺩﺎﺠﺳ ﺎﻬﺘﻴﺿﺭﺍ ِﻂﺳﻭ
،
ﻥﺎﻜﻓ
ﺔﺣﺎﺴﻣ َ
ِ
2
؟ ِﺔﻓﺮﻐﻟﺍ ﻊﻠﺿ ﻝﻮﻁ ﺎﻣ .24m ﺓﺩﺎﺠﺴﻟﺎﺑ ِﺓﺎﻄﻐﻤﻟﺍ ﺮﻴﻏ ِﺔﻘﻄﻨﻤﻟﺍ
ُ
2
ِ
ِ
ﻰﻠﻋﻷﺍ ﻮﺤﻧ ِﺏﺮﻀﻤﻟﺎﺑ ِﺔﺸﻳﺮﻟﺍ َﺓﺮﻛ ﺎﻨﻳﺩ ﺖﺑﺮﺿ
ﻰﻠﻋﻷﺍ ﻮﺤﻧ ِﺏﺮﻀﻤﻟﺎﺑ ِﺔﺸﻳﺮﻟﺍ َﺓﺮﻛ ﺎﻨﻳﺩ ﺖﺑﺮﺿ :ِﺔﺸﻳﺮﻟﺍ ﺓﺮُﻛ 31
ﺮﺒﻌﻳ
ﻦﻋ
ﻦﻋ ﺮﺒﻌﻳ H = -5t + 25t ﻥﻮﻧﺎﻘﻟﺍ ﻥﺎﻛ ﺍﺫﺇ ،30 m/sec ِﺔﻋﺮﺴﺑ
2
ِﺐﺴﺣﺍ .ﻲﻧﺍﻮﺜﻟﺎﺑ ﻦﻣﺰﻟﺍ ِﺔﻟﻻﺪﺑ ﺭﺎﺘﻣﻷﺎﺑ ءﺍﻮﻬﻟﺍ ﻲﻓ ﺔﺸﻳﺮﻟﺍ ِﺓﺮﻛ ﻉﺎﻔﺗﺭﺍ
ِﺐﺴﺣﺍ .ﻲﻧﺍﻮﺜﻟﺎﺑ ﻦﻣﺰﻟﺍ ِﺔﻟﻻﺪﺑ ﺭﺎﺘﻣﻷﺎﺑ ءﺍﻮﻬﻟﺍ ﻲﻓ ﺔﺸﻳﺮﻟﺍ ِﺓﺮﻛ ﻉﺎﻔﺗﺭﺍ
ِِ
ِِ
ِِ
. ﺽﺭﻷﺍ ﺢﻄﺳ ﻰﻟﺍ ﺓﺩﻮﻌﻠﻟ ﺔﺸﻳﺮﻟﺍ َﺓﺮُﻛ ﻪﺘﻗﺮﻐﺘﺳﺍ ﻱﺬﻟﺍ َﻦﻣﺰﻟﺍ
ﻢﻬﺴﻟﺍ ﻉﺎﻔﺗﺭﺃ H= -5t + 40t + 3 ُﻥﻮﻧﺎﻘﻟﺍ ﻞﺜﻤﻳ :ﺔﻳﺎﻣﺭ ﻉﺎﻔﺗﺭﺃ 2 ُ ٌ 32
ﻢﻬﺴﻟﺍ

.ﻲﻧﺍﻮﺜﻟﺎﺑ

َﻉﺎﻔﺗﺭﺍ ْﺪﺟ .ﻲﻧﺍﻮﺜﻟﺎﺑ ﻦﻣﺰﻟﺍ t ﻞﺜﻤﺗ ﺫﺇ ،ءﺍﻮﻬﻟﺍ ﻲﻓ ﺪﻟﺎﺧ ﻪﻘﻠﻁﺍ ﻱﺬﻟﺍ
ﻦﻣﺰﻟﺍ
ﺪﺟ
ﻉﺎﻔﺗﺭﺍ
ْ
َ
ﻰﻟﺍ ﻢﻬﺴﻟﺍ ُﺩﻮﻌﻳ ﻲﻜﻟ ﻡﺯﻻﺍ ﻦﻣﺰﻟﺍ ﺎﻣﻭ ،ِﻪﻗﻼﻁﺍ ﻦﻣ ﺔﻴﻧﺎﺛ 2 ﺪﻌﺑ ﻢﻬﺴﻟﺍ
ﻰﻟﺍ ﻢﻬﺴﻟﺍ ُﺩﻮﻌﻳ ﻲﻜﻟ ﻡﺯﻻﺍ ﻦﻣﺰﻟﺍ ﺎﻣﻭ ،ِﻪﻗﻼﻁﺍ ﻦﻣ ﺔﻴﻧﺎﺛ
؟3m ﻉﺎﻔﺗﺭﺍ

َ
ﺮـﱢﻜﻓ
: ﺔﻴﺗﻵﺍ ﺕﻻﺩﺎﻌﻤﻟﺍ ﻞﺣ :ﱟﺪﺤﺗ
2 1
33 x - = − 34 3y - 48 = 0 35 (2z + 2 5 )( z - 2 5 )= 0
2
2
3 2

1 ⎛ 1 ⎞ 1 ⎛ 1 ⎞
ُ 36
⎜ x - ⎟⎜ x + ⎟ = 0 : ﺔﻴﺗﻵﺍ ﺔﻟﺩﺎﻌﻤﻟﺍ ﺔﻠﻴﻤﺟ ﺖﻠﺣ :ﺄﻄﺨﻟﺍ ﺢﱢﺤﺻﺃ
⎝ 3 4 ⎠ 3 4 ⎠
⎝
4
4
.ﻪﺤﺤﺻﻭ ﺔﻠﻴﻤﺟ ﺄﻄﺧ ﺩﺪﺣ . x= − ﻭﺃ x= ﺖﺒﺘﻛﻭ
3 3

2
: ﺔﻟﺩﺎﻌﻤﻟﺍ ﻞﺣ ﺪﺟ ﻢﺛ ، ( y+ 5) ( y – 3) = y +2y -15 ﻥﺃ ﺖﺒﺛﺃ :ﱞﻱﺩﺪﻋ ﱞ ﺲِﺣ 37
2
. y +2y = 15

ﺐﺘﻛﺃ
ً
َ
ً
x ( x + 4 ) = 60 : ﺔﻴﺗﻵﺍ ﺔﻟﺩﺎﻌﻤﻟﺍ ﻞﺜﻤﺗ ﺔﻴﺗﺎﻴﺣ ﺔﻟﺄﺴﻣ
ُ

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