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‫داوﻃﻠﺐ‬ ‫ﺷﻤﺎره‬‫ﺗﻌﺎﻟﯽ‬ ‫ﺑﺎﺳﻤﻪ‬‫درس‬ ‫ﻧﺎم‬:‫رﯾــﺎﺿﯽ‬
‫ﻧﺎم‬:‫اﻣﺘﺤﺎن‬ ‫ﺗﺎرﯾﺦ‬:4/3/95
‫ﺧﺎﻧﻮادﮔﯽ‬ ‫ﻧﺎم‬:‫ﺻﻔﺤﻪ‬ ‫ﺗﻌﺪاد‬:4
‫ﭘﺪر‬ ‫ﻧﺎم‬:‫ﺳﺆال‬ ‫ﺗﻌﺪاد‬:20
‫آﻣﻮزﺷﮕﺎه‬ ‫ﻧﺎم‬:‫ﺷﺮوع‬ ‫زﻣﺎن‬:‫ﺳﺎﻋﺖ‬59/‫ﺻﺒﺢ‬
‫ﭘﺎﯾﻪ‬:‫ﻧﻬﻢ‬‫وﻗﺖ‬:110‫دﻗﯿﻘﻪ‬
١
‫ﭘﺮورش‬ ‫و‬ ‫آﻣﻮزش‬ ‫وزارت‬
‫ﯾﺰد‬ ‫اﺳﺘﺎن‬ ‫ﭘﺮورش‬ ‫و‬ ‫آﻣﻮزش‬ ‫ﮐﻞ‬ ‫اداره‬
‫ﺳﻨﺠﺶ‬ ‫اداره‬
‫دﻗ‬ ‫زﯾرراﺑﮫ‬ ‫ﻋزﯾز،ﺳؤاﻻت‬ ‫وداوطﻠﺑﺎن‬ ‫آﻣوزان‬ ‫داﻧش‬ ‫ﺑﮫ‬ ‫ﺧﯾرﻣﻘدم‬ ‫ﺿﻣن‬ّ‫و‬ ‫ﺑﺧواﻧﯾد‬ ‫ت‬‫ﺑﺎ‬‫ﺗوﮐ‬ّ‫و‬ ‫ﺧدا‬ ‫ﺑﮫ‬ ‫ل‬‫دھﯾد‬ ‫ﭘﺎﺳﺦ‬ ‫ﺧﺎطر‬ ‫آراﻣش‬.
‫ﺧﺎﻧﻮادﮔﯽ‬ ‫ﻧﺎم‬ ‫و‬ ‫ﻧﺎم‬‫اول‬ ‫ﻣﺼﺤﺢ‬:
‫ﻋﺪد‬ ‫ﺑﺎ‬ ‫ﻧﻤﺮه‬
‫ﺣﺮوف‬ ‫ﺑﺎ‬ ‫ﻧﻤﺮه‬
‫ﺧﺎﻧﻮادﮔﯽ‬ ‫ﻧﺎم‬ ‫و‬ ‫ﻧﺎم‬‫دوم‬ ‫ﻣﺼﺤﺢ‬:
‫ﻋﺪد‬ ‫ﺑﺎ‬ ‫ﻧﻈﺮ‬ ‫ﺗﺠﺪﯾﺪ‬ ‫ﻧﻤﺮه‬
‫ﺣﺮوف‬ ‫ﻧﻈﺮﺑﺎ‬ ‫ﺗﺠﺪﯾﺪ‬ ‫ﻧﻤﺮه‬
‫ردﯾﻒ‬‫ﺳﺆاﻻت‬‫ﺑﺎرم‬
1‫ﻫ‬ ‫ﻧﺎدرﺳﺘﯽ‬ ‫ﯾﺎ‬ ‫درﺳﺘﯽ‬‫ـ‬‫ﮐﻨﯿﺪ‬ ‫ﻣﺸﺨﺺ‬ ‫را‬ ‫ﻋﺒﺎرت‬ ‫ﺮ‬.
-‫ﮐﻪ‬ ‫اي‬ ‫ﻣﺠﻤﻮﻋﻪ‬3‫ﺑﺎﺷﺪ‬ ‫داﺷﺘﻪ‬ ‫ﻋﻀﻮ‬9‫دارد‬ ‫ﻣﺠﻤﻮﻋﻪ‬ ‫زﯾﺮ‬.
-‫ﺑﯿﻦ‬ ‫ﻃﺒﯿﻌﯽ‬ ‫اﻋﺪاد‬ ‫ي‬ ‫ﻣﺠﻤﻮﻋﻪ‬7‫و‬8‫ﺑﺎﺷﺪ‬ ‫ﻣﯽ‬ ‫ﺗﻬﯽ‬ ‫ﻣﺠﻤﻮﻋﻪ‬ ،.
-‫ﮔﻮﯾﺎي‬ ‫ﻋﺒـﺎرت‬
2
2
2


a
a
‫ازاي‬ ‫ﺑﻪ‬2a‫ﺗﻌﺮﯾﻒ‬‫ﻧﺸ‬‫ـ‬‫ﺪه‬‫اﺳﺖ‬.
-‫اﺳﺖ‬ ‫داﯾﺮه‬ ‫ﺷﺪه‬ ‫ﺑﺮﯾﺪه‬ ‫ﺳﻄﺢ‬ ،‫دﻫﯿﻢ‬ ‫ﺑﺮش‬ ‫ﺻﻔﺤﻪ‬ ‫ﯾﮏ‬ ‫ﺑﺎ‬ ‫را‬ ‫اي‬ ‫ﮐﺮه‬ ‫اﮔﺮ‬.
1
2‫ﮐﺎﻣ‬ ‫را‬ ‫زﯾﺮ‬ ‫ﻫﺎي‬ ‫ﺟﻤﻠﻪ‬‫ـ‬‫ﻧﻤﺎﯾﯿﺪ‬ ‫ﻞ‬.
-‫ﺧ‬ ‫ﺷﯿﺐ‬‫ـ‬‫ﻂ‬34  xy‫ﺑ‬ ‫ﺑﺮاﺑﺮ‬‫ـ‬‫ﺎ‬. .. . . . . . . .‫ﺑﺎﺷﺪ‬ ‫ﻣﯽ‬.
-‫دوران‬ ‫از‬)360‫درﺟﻪ‬(‫آن‬ ‫ﻗﻄﺮ‬ ‫ﺣﻮل‬ ‫داﯾﺮه‬ ‫ﻧﯿﻢ‬ ‫ﯾﮏ‬. . . . . . . . . . . .‫آﯾﺪ‬ ‫ﻣﯽ‬ ‫ﺑﻮﺟﻮد‬.
-‫ﻧﺘ‬ ‫درﺳﺘﯽ‬ ‫ﺑﻪ‬ ‫را‬ ‫ﻧﻈﺮ‬ ‫ﻣﻮرد‬ ‫ﻣﻮﺿﻮع‬ ‫ﮐﻪ‬ ‫اﺳﺘﺪﻻﻟﯽ‬ ‫ﺑﻪ‬‫ﺑﺪﻫﺪ‬ ‫ﯿﺠﻪ‬. . . . . . . . . . . .‫ﮔﻮﯾﯿﻢ‬ ‫ﻣﯽ‬.
-‫اي‬ ‫ﺟﻤﻠﻪ‬ ‫ﯾﮏ‬ ‫ي‬ ‫درﺟﻪ‬yx3
7‫ﻣﺘﻐﯿﺮﻫﺎي‬ ‫ﺑﻪ‬ ‫ﻧﺴﺒﺖ‬x‫و‬y‫ﺑﺮاﺑﺮ‬. . . . . . . . . .‫ﺑﺎﺷﺪ‬ ‫ﻣﯽ‬.
1
3
‫ﻫﺎي‬ ‫ﻣﺠﻤﻮﻋﻪ‬ ‫اﮔﺮ‬A‫و‬B‫ﺑﺎﺷ‬ ‫ﻣﻘﺎﺑﻞ‬ ‫ﺻﻮرت‬ ‫ﺑﻪ‬‫ﻨ‬،‫ﺪ‬ 121086 ,,,B‫و‬ 765 ,,A
‫ي‬ ‫ﻣﺠﻤﻮﻋﻪ‬BA‫دﻫﯿﺪ‬ ‫ﻧﻤﺎﯾﺶ‬ ‫اﻋﻀﺎء‬ ‫ﺑﺎ‬ ‫را‬. BA
5/0
4
‫اﻟﻒ‬(‫ي‬ ‫ﻣﺠﻤﻮﻋﻪ‬F‫دﻫﯿﺪ‬ ‫ﻧﻤﺎﯾﺶ‬ ‫ﻣﺤﻮر‬ ‫روي‬ ‫را‬.
 32  xRxF
‫ب‬(‫ﻋﻼﻣﺖ‬ ‫داﯾﺮه‬ ‫داﺧﻞ‬ ‫در‬‫ﯾــﺎ‬‫دﻫﯿﺪ‬ ‫ﻗﺮار‬.F8
1
5‫ي‬ ‫ﻣﺠﻤﻮﻋﻪ‬ ‫ﻋﻀﻮﻫﺎي‬ ‫ﺑﯿﻦ‬ ‫از‬ 9 xxA‫ﮐﻨﯿﻢ‬ ‫ﻣﯽ‬ ‫اﻧﺘﺨﺎب‬ ‫ﺗﺼﺎدف‬ ‫ﺑﻪ‬ ‫را‬ ‫ﻋﺪدي‬.‫ﻋﺪد‬ ‫اﯾﻦ‬ ‫دارد‬ ‫اﺣﺘﻤﺎل‬ ‫ﭼﻘﺪر‬
‫ﺑﺎﺷﺪ؟‬ ‫اول‬5/0
‫داوﻃﻠﺐ‬ ‫ﺷﻤﺎره‬‫ﺗﻌﺎﻟﯽ‬ ‫ﺑﺎﺳﻤﻪ‬‫درس‬ ‫ﻧﺎم‬:‫رﯾــﺎﺿﯽ‬
‫ﻧﺎم‬:‫اﻣﺘﺤﺎن‬ ‫ﺗﺎرﯾﺦ‬:4/3/95
‫ﺧﺎﻧﻮادﮔﯽ‬ ‫ﻧﺎم‬:‫ﺻﻔﺤﻪ‬ ‫ﺗﻌﺪاد‬:4
‫ﭘﺪر‬ ‫ﻧﺎم‬:‫ﺳﺆال‬ ‫ﺗﻌﺪاد‬:20
‫آﻣﻮزﺷﮕﺎه‬ ‫ﻧﺎم‬:‫ﺷﺮوع‬ ‫زﻣﺎن‬:‫ﺳﺎﻋﺖ‬59/‫ﺻﺒﺢ‬
‫ﭘﺎﯾﻪ‬:‫ﻧﻬﻢ‬‫وﻗﺖ‬:110‫دﻗﯿﻘﻪ‬
٢
‫ﭘﺮورش‬ ‫و‬ ‫آﻣﻮزش‬ ‫وزارت‬
‫ﯾﺰد‬ ‫اﺳﺘﺎن‬ ‫ﭘﺮورش‬ ‫و‬ ‫آﻣﻮزش‬ ‫ﮐﻞ‬ ‫اداره‬
‫ﺳﻨﺠﺶ‬ ‫اداره‬
6
‫ازاي‬ ‫ﺑﻪ‬ ‫را‬ ‫ﻣﻘﺎﺑﻞ‬ ‫ﻋﺒﺎرت‬ ‫ﺣﺎﺻﻞ‬4a‫و‬5b‫آورﯾﺪ‬ ‫ﺑﺪﺳﺖ‬. ba 217
1
7
‫ﻋﻼﻣﺖ‬ ‫ﺑﺎ‬ ‫را‬ ‫ﺧﺎﻟﯽ‬ ‫ﺟﺎﻫﺎي‬)(‫ﮐﻨﯿﺪ‬ ‫ﮐﺎﻣﻞ‬.
    22
3
3
266
105100503
2
54
45022 


 //
1
8
‫ﺷﮑﻞ‬ ‫در‬Ax‫ي‬ ‫زاوﯾﻪ‬ ‫ﺳﺎز‬ ‫ﻧﯿﻢ‬tAy‫ﺑﺎﺷﺪ‬ ‫ﻣﯽ‬.‫ي‬ ‫ﻓﺎﺻﻠﻪ‬ ‫ﮐﻨﯿﺪ‬ ‫ﺛﺎﺑﺖ‬
‫ي‬ ‫ﻧﻘﻄﻪ‬D‫ي‬ ‫زاوﯾﻪ‬ ‫ﺿﻠﻊ‬ ‫دو‬ ‫از‬tAy‫اﻧﺪازه‬ ‫ﯾﮏ‬ ‫ﺑﻪ‬‫اﺳﺖ‬.5/1
9‫اﻟﻒ‬(‫آورﯾﺪ‬ ‫دﺳﺖ‬ ‫ﺑﻪ‬ ‫اﺗﺤﺎد‬ ‫ﮐﻤﮏ‬ ‫ﺑﻪ‬ ‫را‬ ‫ﻋﺒﺎرت‬ ‫ﺣﺎﺻﻞ‬.   2
7a
‫ب‬(‫ﮐﻨﯿﺪ‬ ‫ﺗﺠﺰﯾﻪ‬ ‫اﺗﺤﺎد‬ ‫ﮐﻤﮏ‬ ‫ﺑﻪ‬ ‫را‬ ‫ﻣﻘﺎﺑﻞ‬ ‫ﻋﺒﺎرت‬. 62
xx
5/1
10‫ﺑﻨﻮﯾﺴﯿﺪ‬ ‫ﺗﻮاﻧﺪار‬ ‫ﻋﺪد‬ ‫ﺻﻮرت‬ ‫ﺑﻪ‬ ‫را‬ ‫ﯾﮏ‬ ‫ﻫﺮ‬ ‫ﺣﺎﺻﻞ‬.











 

210
44
273
14
15
28
451
11‫اﻟﻒ‬(‫ﺑﻨﻮﯾﺴﯿﺪ‬ ‫ﺻﻮرت‬ ‫ﺗﺮﯾﻦ‬ ‫ﺳﺎده‬ ‫ﺑﻪ‬ ‫را‬ ‫ﻣﻘﺎﺑﻞ‬ ‫ﻋﺒﺎرت‬ ‫ﺣﺎﺻﻞ‬.
  123512
‫ب‬(‫ﮐﺴﺮ‬ ‫ﻣﺨﺮج‬
3
2
12
‫ﮐﻨﯿﺪ‬ ‫ﮔـﻮﯾــﺎ‬ ‫را‬.
25/1
‫ﻓﺮض‬
‫ﺣﮑﻢ‬

DA 
x
t
y
‫داوﻃﻠﺐ‬ ‫ﺷﻤﺎره‬‫ﺗﻌﺎﻟﯽ‬ ‫ﺑﺎﺳﻤﻪ‬‫درس‬ ‫ﻧﺎم‬:‫رﯾــﺎﺿﯽ‬
‫ﻧﺎم‬:‫اﻣﺘﺤﺎن‬ ‫ﺗﺎرﯾﺦ‬:4/3/95
‫ﺧﺎﻧﻮادﮔﯽ‬ ‫ﻧﺎم‬:‫ﺻﻔﺤﻪ‬ ‫ﺗﻌﺪاد‬:4
‫ﭘﺪر‬ ‫ﻧﺎم‬:‫ﺳﺆال‬ ‫ﺗﻌﺪاد‬:20
‫آﻣﻮزﺷﮕﺎه‬ ‫ﻧﺎم‬:‫ﺷﺮوع‬ ‫زﻣﺎن‬:‫ﺳﺎﻋﺖ‬59/‫ﺻﺒﺢ‬
‫ﭘﺎﯾﻪ‬:‫ﻧﻬﻢ‬‫وﻗﺖ‬:110‫دﻗﯿﻘﻪ‬
٣
‫ﭘﺮورش‬ ‫و‬ ‫آﻣﻮزش‬ ‫وزارت‬
‫ﯾﺰد‬ ‫اﺳﺘﺎن‬ ‫ﭘﺮورش‬ ‫و‬ ‫آﻣﻮزش‬ ‫ﮐﻞ‬ ‫اداره‬
‫ﺳﻨﺠﺶ‬ ‫اداره‬
12
‫آورﯾﺪ‬ ‫ﺑﺪﺳﺖ‬ ‫را‬ ‫ﻣﻘﺎﺑﻞ‬ ‫ي‬ ‫ﻧﺎﻣﻌﺎدﻟﻪ‬ ‫ﺟﻮاب‬ ‫ﻣﺠﻤﻮﻋﻪ‬.  xx  6523
1
13
‫اﻟﻒ‬(‫ﻧﻘﻄﻪ‬ ‫ﻣﺨﺘﺼﺎت‬M‫ﺧﻂ‬ ‫از‬32  xy‫آن‬ ‫ﻃﻮل‬ ‫ﮐﻪ‬ ‫ﮐﻨﯿﺪ‬ ‫ﭘﯿﺪا‬ ‫را‬4‫ﺑﺎﺷﺪ‬.






4
M
‫ب‬(‫ي‬ ‫ﻧﻘﻄﻪ‬ ‫آﯾﺎ‬






7
2
E‫ﺧﻂ‬ ‫روي‬32  xy‫ﺧﯿـﺮ‬ ‫ﺑﻠـﻪ‬ ‫دارد؟‬ ‫ﻗﺮار‬
5/0
14
‫ﺧﻂ‬2
3
2
 xy‫را‬‫ﻣﻘﺎﺑﻞ‬ ‫دﺳﺘﮕﺎه‬ ‫در‬‫ﮐﻨﯿﺪ‬ ‫رﺳﻢ‬.
75/0
15
‫اﻟﻒ‬(‫ي‬ ‫ﻧﻘﻄﻪ‬ ‫دو‬ ‫از‬ ‫ﮐﻪ‬ ‫ﺑﻨﻮﯾﺴﯿﺪ‬ ‫را‬ ‫ﺧﻄﯽ‬ ‫ﻣﻌﺎدﻟﻪ‬







7
2
‫و‬







3
2
‫ﺑﮕﺬرد‬.
‫ب‬(‫ﺧﻂ‬ ‫ﺑﺎ‬ ‫ﮐﻪ‬ ‫ﺑﻨﻮﯾﺴﯿﺪ‬ ‫را‬ ‫ﺧﻄﯽ‬ ‫ﻣﻌﺎدﻟﻪ‬34  xy‫ي‬ ‫ﻧﻘﻄﻪ‬ ‫از‬ ‫و‬ ‫ﺑﺎﺷﺪ‬ ‫ﻣﻮازي‬





5
1
‫ﺑﮕﺬرد‬.
1
16
‫ﻣﻘﺪار‬ ‫ﻣﻘﺎﺑﻞ‬ ‫دﺳﺘﮕﺎه‬ ‫ﺑﻪ‬ ‫ﺗﻮﺟﻪ‬ ‫ﺑﺎ‬x‫و‬y‫آورﯾﺪ‬ ‫ﺑﺪﺳﺖ‬ ‫را‬.





42
73
yx
yx
1
‫داوﻃﻠﺐ‬ ‫ﺷﻤﺎره‬‫ﺗﻌﺎﻟﯽ‬ ‫ﺑﺎﺳﻤﻪ‬‫درس‬ ‫ﻧﺎم‬:‫رﯾــﺎﺿﯽ‬
‫ﻧﺎم‬:‫اﻣﺘﺤﺎن‬ ‫ﺗﺎرﯾﺦ‬:4/3/95
‫ﺧﺎﻧﻮادﮔﯽ‬ ‫ﻧﺎم‬:‫ﺻﻔﺤﻪ‬ ‫ﺗﻌﺪاد‬:4
‫ﭘﺪر‬ ‫ﻧﺎم‬:‫ﺳﺆال‬ ‫ﺗﻌﺪاد‬:20
‫آﻣﻮزﺷﮕﺎه‬ ‫ﻧﺎم‬:‫ﺷﺮوع‬ ‫زﻣﺎن‬:‫ﺳﺎﻋﺖ‬59/‫ﺻﺒﺢ‬
‫ﭘﺎﯾﻪ‬:‫ﻧﻬﻢ‬‫وﻗﺖ‬:110‫دﻗﯿﻘﻪ‬
٤
‫ﭘﺮورش‬ ‫و‬ ‫آﻣﻮزش‬ ‫وزارت‬
‫ﯾﺰد‬ ‫اﺳﺘﺎن‬ ‫ﭘﺮورش‬ ‫و‬ ‫آﻣﻮزش‬ ‫ﮐﻞ‬ ‫اداره‬
‫ﺳﻨﺠﺶ‬ ‫اداره‬
17
‫ﺑﻨﻮﯾﺴﯿﺪ‬ ‫ﺻﻮرت‬ ‫ﺗﺮﯾﻦ‬ ‫ﺳﺎده‬ ‫ﺑﻪ‬ ‫را‬ ‫ﮔﻮﯾـﺎ‬ ‫ﻫﺎي‬ ‫ﻋﺒﺎرت‬ ‫از‬ ‫ﯾﮏ‬ ‫ﻫﺮ‬ ‫ﺣﺎﺻﻞ‬.)‫ﺑﺎﺷﺪ‬ ‫ﻣﯽ‬ ‫ﺻﻔﺮ‬ ‫ﻣﺨﺎﻟﻒ‬ ‫ﮐﺴﺮﻫﺎ‬ ‫ﺗﻤﺎم‬ ‫ﻣﺨﺮج‬.(
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252
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)‫ب‬
25/1
18‫ﺗﻘ‬ ‫ي‬ ‫ﻣﺎﻧﺪه‬ ‫ﺑﺎﻗﯽ‬ ‫و‬ ‫ﻗﺴﻤﺖ‬ ‫ﺧﺎرج‬‫ﺴﯿﻢ‬592 2
 xx‫ﺑـﺮ‬32 x‫آورﯾﺪ‬ ‫ﺑﺪﺳﺖ‬ ‫را‬.
1
19‫اﻟﻒ‬(‫ﺧﯿـﺮ‬ ‫ﺑﻠـﻪ‬ ‫ﻫﺴﺘﻨﺪ؟‬ ‫ﻣﺘﺸﺎﺑﻪ‬ ‫دﻟﺨﻮاه‬ ‫ﻟﻮزي‬ ‫دو‬ ‫ﻫﺮ‬ ‫آﯾﺎ‬
‫ب‬(‫ﻧﻘﺸﻪ‬ ‫ﯾﮏ‬ ‫ﻣﻘﯿﺎس‬
1000
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‫اﺳﺖ‬.‫ﻧﻘﺸﻪ‬ ‫روي‬ ‫ﻧﻘﻄﻪ‬ ‫دو‬ ‫ي‬ ‫ﻓﺎﺻﻠﻪ‬54/‫اﺳﺖ‬ ‫ﻣﺘﺮ‬ ‫ﺳﺎﻧﺘﯽ‬.‫در‬ ‫ﻧﻘﻄﻪ‬ ‫دو‬ ‫اﯾﻦ‬ ‫ي‬ ‫ﻓﺎﺻﻠﻪ‬
‫ﻃﺒﯿﻌﺖ‬)‫واﻗﻌﯽ‬ ‫ي‬ ‫اﻧﺪازه‬(‫ﻣﺘﺮ‬ ‫ﺳﺎﻧﺘﯽ‬ ‫ﭼﻨﺪ‬‫اﺳﺖ؟‬
75/0
20A(‫ﮐﻨﯿﺪ‬ ‫اﻧﺘﺨﺎب‬ ‫را‬ ‫ﻣﻨﺎﺳﺐ‬ ‫ﮔﺰﯾﻨﻪ‬.
-‫ي‬ ‫ﻗﺎﻋﺪه‬ ‫اﺿﻼع‬ ‫ﺑﻪ‬ ‫اي‬ ‫اﻟﻘﺎﻋﺪه‬ ‫ﻣﺮﺑﻊ‬ ‫ﻫﺮم‬ ‫ﺣﺠﻢ‬a‫ارﺗﻔﺎع‬ ‫و‬b‫اﺳﺖ؟‬ ‫ﮐﺪام‬
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-‫ﮐ‬ ‫اﮔﺮ‬‫ــ‬‫ﮐ‬ ‫ﻗﻄﺮ‬ ،‫ﺑﺎﺷﺪ‬ ‫ﺷﺪه‬ ‫ﻣﺤﺎط‬ ‫اﺳﺘﻮاﻧﻪ‬ ‫در‬ ‫اي‬ ‫ﺮه‬‫ـ‬‫ﮐﺪام‬ ‫ﺑﺎ‬ ‫ﻫﻤﻮاره‬ ‫ﺮه‬‫ﻣﺴﺎوي‬ ‫زﯾﺮ‬ ‫ﻫﺎي‬ ‫ﮔﺰﯾﻨﻪ‬ ‫از‬ ‫ﯾﮏ‬‫ﺑﺎﺷﺪ؟‬ ‫ﻧﻤﯽ‬
‫اﻟﻒ‬(‫ب‬ ‫اﺳﺘﻮاﻧﻪ‬ ‫ارﺗﻔﺎع‬(‫اﺳﺘﻮاﻧﻪ‬ ‫ي‬ ‫ﻗﺎﻋﺪه‬ ‫ﻗﻄﺮ‬‫ج‬(‫اﺳﺘﻮاﻧﻪ‬ ‫ي‬ ‫ﻗﺎﻋﺪه‬ ‫دو‬ ‫ﻓﺎﺻﻠﻪ‬‫د‬(‫ﻣﺤﯿﻂ‬ ‫ﻧﺼﻒ‬‫ي‬ ‫ﻗﺎﻋﺪه‬‫اﺳﺘﻮاﻧﻪ‬
B(‫ﻗﺎﺋﻢ‬ ‫اﺿﻼع‬ ‫ﺑﻪ‬ ‫اي‬ ‫اﻟﺰاوﯾﻪ‬ ‫ﻗﺎﺋﻢ‬ ‫ﻣﺜﻠﺚ‬10‫و‬6‫را‬ ‫ﻣﺘﺮ‬ ‫ﺳﺎﻧﺘﯽ‬‫ﺿﻠﻊ‬ ‫ﺣﻮل‬10‫دوران‬ ‫ﻣﺘﺮي‬ ‫ﺳﺎﻧﺘﯽ‬‫ﺣﺠﻢ‬ ‫دﻫﯿﻢ‬ ‫ﻣﯽ‬
‫آورﯾﺪ‬ ‫ﺑﺪﺳﺖ‬ ‫را‬ ‫ﺣﺎﺻﻞ‬.
5/1
»‫ﺑﺎﺷﯿﺪ‬ ‫ﺳﺮﺑﻠﻨﺪ‬ ‫و‬ ‫ﻣﻮﻓﻖ‬«
32592 2
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Barbie - Brand Strategy Presentation
 

نمونه سوال امتحان ریاضی نهم

  • 1. ‫داوﻃﻠﺐ‬ ‫ﺷﻤﺎره‬‫ﺗﻌﺎﻟﯽ‬ ‫ﺑﺎﺳﻤﻪ‬‫درس‬ ‫ﻧﺎم‬:‫رﯾــﺎﺿﯽ‬ ‫ﻧﺎم‬:‫اﻣﺘﺤﺎن‬ ‫ﺗﺎرﯾﺦ‬:4/3/95 ‫ﺧﺎﻧﻮادﮔﯽ‬ ‫ﻧﺎم‬:‫ﺻﻔﺤﻪ‬ ‫ﺗﻌﺪاد‬:4 ‫ﭘﺪر‬ ‫ﻧﺎم‬:‫ﺳﺆال‬ ‫ﺗﻌﺪاد‬:20 ‫آﻣﻮزﺷﮕﺎه‬ ‫ﻧﺎم‬:‫ﺷﺮوع‬ ‫زﻣﺎن‬:‫ﺳﺎﻋﺖ‬59/‫ﺻﺒﺢ‬ ‫ﭘﺎﯾﻪ‬:‫ﻧﻬﻢ‬‫وﻗﺖ‬:110‫دﻗﯿﻘﻪ‬ ١ ‫ﭘﺮورش‬ ‫و‬ ‫آﻣﻮزش‬ ‫وزارت‬ ‫ﯾﺰد‬ ‫اﺳﺘﺎن‬ ‫ﭘﺮورش‬ ‫و‬ ‫آﻣﻮزش‬ ‫ﮐﻞ‬ ‫اداره‬ ‫ﺳﻨﺠﺶ‬ ‫اداره‬ ‫دﻗ‬ ‫زﯾرراﺑﮫ‬ ‫ﻋزﯾز،ﺳؤاﻻت‬ ‫وداوطﻠﺑﺎن‬ ‫آﻣوزان‬ ‫داﻧش‬ ‫ﺑﮫ‬ ‫ﺧﯾرﻣﻘدم‬ ‫ﺿﻣن‬ّ‫و‬ ‫ﺑﺧواﻧﯾد‬ ‫ت‬‫ﺑﺎ‬‫ﺗوﮐ‬ّ‫و‬ ‫ﺧدا‬ ‫ﺑﮫ‬ ‫ل‬‫دھﯾد‬ ‫ﭘﺎﺳﺦ‬ ‫ﺧﺎطر‬ ‫آراﻣش‬. ‫ﺧﺎﻧﻮادﮔﯽ‬ ‫ﻧﺎم‬ ‫و‬ ‫ﻧﺎم‬‫اول‬ ‫ﻣﺼﺤﺢ‬: ‫ﻋﺪد‬ ‫ﺑﺎ‬ ‫ﻧﻤﺮه‬ ‫ﺣﺮوف‬ ‫ﺑﺎ‬ ‫ﻧﻤﺮه‬ ‫ﺧﺎﻧﻮادﮔﯽ‬ ‫ﻧﺎم‬ ‫و‬ ‫ﻧﺎم‬‫دوم‬ ‫ﻣﺼﺤﺢ‬: ‫ﻋﺪد‬ ‫ﺑﺎ‬ ‫ﻧﻈﺮ‬ ‫ﺗﺠﺪﯾﺪ‬ ‫ﻧﻤﺮه‬ ‫ﺣﺮوف‬ ‫ﻧﻈﺮﺑﺎ‬ ‫ﺗﺠﺪﯾﺪ‬ ‫ﻧﻤﺮه‬ ‫ردﯾﻒ‬‫ﺳﺆاﻻت‬‫ﺑﺎرم‬ 1‫ﻫ‬ ‫ﻧﺎدرﺳﺘﯽ‬ ‫ﯾﺎ‬ ‫درﺳﺘﯽ‬‫ـ‬‫ﮐﻨﯿﺪ‬ ‫ﻣﺸﺨﺺ‬ ‫را‬ ‫ﻋﺒﺎرت‬ ‫ﺮ‬. -‫ﮐﻪ‬ ‫اي‬ ‫ﻣﺠﻤﻮﻋﻪ‬3‫ﺑﺎﺷﺪ‬ ‫داﺷﺘﻪ‬ ‫ﻋﻀﻮ‬9‫دارد‬ ‫ﻣﺠﻤﻮﻋﻪ‬ ‫زﯾﺮ‬. -‫ﺑﯿﻦ‬ ‫ﻃﺒﯿﻌﯽ‬ ‫اﻋﺪاد‬ ‫ي‬ ‫ﻣﺠﻤﻮﻋﻪ‬7‫و‬8‫ﺑﺎﺷﺪ‬ ‫ﻣﯽ‬ ‫ﺗﻬﯽ‬ ‫ﻣﺠﻤﻮﻋﻪ‬ ،. -‫ﮔﻮﯾﺎي‬ ‫ﻋﺒـﺎرت‬ 2 2 2   a a ‫ازاي‬ ‫ﺑﻪ‬2a‫ﺗﻌﺮﯾﻒ‬‫ﻧﺸ‬‫ـ‬‫ﺪه‬‫اﺳﺖ‬. -‫اﺳﺖ‬ ‫داﯾﺮه‬ ‫ﺷﺪه‬ ‫ﺑﺮﯾﺪه‬ ‫ﺳﻄﺢ‬ ،‫دﻫﯿﻢ‬ ‫ﺑﺮش‬ ‫ﺻﻔﺤﻪ‬ ‫ﯾﮏ‬ ‫ﺑﺎ‬ ‫را‬ ‫اي‬ ‫ﮐﺮه‬ ‫اﮔﺮ‬. 1 2‫ﮐﺎﻣ‬ ‫را‬ ‫زﯾﺮ‬ ‫ﻫﺎي‬ ‫ﺟﻤﻠﻪ‬‫ـ‬‫ﻧﻤﺎﯾﯿﺪ‬ ‫ﻞ‬. -‫ﺧ‬ ‫ﺷﯿﺐ‬‫ـ‬‫ﻂ‬34  xy‫ﺑ‬ ‫ﺑﺮاﺑﺮ‬‫ـ‬‫ﺎ‬. .. . . . . . . .‫ﺑﺎﺷﺪ‬ ‫ﻣﯽ‬. -‫دوران‬ ‫از‬)360‫درﺟﻪ‬(‫آن‬ ‫ﻗﻄﺮ‬ ‫ﺣﻮل‬ ‫داﯾﺮه‬ ‫ﻧﯿﻢ‬ ‫ﯾﮏ‬. . . . . . . . . . . .‫آﯾﺪ‬ ‫ﻣﯽ‬ ‫ﺑﻮﺟﻮد‬. -‫ﻧﺘ‬ ‫درﺳﺘﯽ‬ ‫ﺑﻪ‬ ‫را‬ ‫ﻧﻈﺮ‬ ‫ﻣﻮرد‬ ‫ﻣﻮﺿﻮع‬ ‫ﮐﻪ‬ ‫اﺳﺘﺪﻻﻟﯽ‬ ‫ﺑﻪ‬‫ﺑﺪﻫﺪ‬ ‫ﯿﺠﻪ‬. . . . . . . . . . . .‫ﮔﻮﯾﯿﻢ‬ ‫ﻣﯽ‬. -‫اي‬ ‫ﺟﻤﻠﻪ‬ ‫ﯾﮏ‬ ‫ي‬ ‫درﺟﻪ‬yx3 7‫ﻣﺘﻐﯿﺮﻫﺎي‬ ‫ﺑﻪ‬ ‫ﻧﺴﺒﺖ‬x‫و‬y‫ﺑﺮاﺑﺮ‬. . . . . . . . . .‫ﺑﺎﺷﺪ‬ ‫ﻣﯽ‬. 1 3 ‫ﻫﺎي‬ ‫ﻣﺠﻤﻮﻋﻪ‬ ‫اﮔﺮ‬A‫و‬B‫ﺑﺎﺷ‬ ‫ﻣﻘﺎﺑﻞ‬ ‫ﺻﻮرت‬ ‫ﺑﻪ‬‫ﻨ‬،‫ﺪ‬ 121086 ,,,B‫و‬ 765 ,,A ‫ي‬ ‫ﻣﺠﻤﻮﻋﻪ‬BA‫دﻫﯿﺪ‬ ‫ﻧﻤﺎﯾﺶ‬ ‫اﻋﻀﺎء‬ ‫ﺑﺎ‬ ‫را‬. BA 5/0 4 ‫اﻟﻒ‬(‫ي‬ ‫ﻣﺠﻤﻮﻋﻪ‬F‫دﻫﯿﺪ‬ ‫ﻧﻤﺎﯾﺶ‬ ‫ﻣﺤﻮر‬ ‫روي‬ ‫را‬.  32  xRxF ‫ب‬(‫ﻋﻼﻣﺖ‬ ‫داﯾﺮه‬ ‫داﺧﻞ‬ ‫در‬‫ﯾــﺎ‬‫دﻫﯿﺪ‬ ‫ﻗﺮار‬.F8 1 5‫ي‬ ‫ﻣﺠﻤﻮﻋﻪ‬ ‫ﻋﻀﻮﻫﺎي‬ ‫ﺑﯿﻦ‬ ‫از‬ 9 xxA‫ﮐﻨﯿﻢ‬ ‫ﻣﯽ‬ ‫اﻧﺘﺨﺎب‬ ‫ﺗﺼﺎدف‬ ‫ﺑﻪ‬ ‫را‬ ‫ﻋﺪدي‬.‫ﻋﺪد‬ ‫اﯾﻦ‬ ‫دارد‬ ‫اﺣﺘﻤﺎل‬ ‫ﭼﻘﺪر‬ ‫ﺑﺎﺷﺪ؟‬ ‫اول‬5/0
  • 2. ‫داوﻃﻠﺐ‬ ‫ﺷﻤﺎره‬‫ﺗﻌﺎﻟﯽ‬ ‫ﺑﺎﺳﻤﻪ‬‫درس‬ ‫ﻧﺎم‬:‫رﯾــﺎﺿﯽ‬ ‫ﻧﺎم‬:‫اﻣﺘﺤﺎن‬ ‫ﺗﺎرﯾﺦ‬:4/3/95 ‫ﺧﺎﻧﻮادﮔﯽ‬ ‫ﻧﺎم‬:‫ﺻﻔﺤﻪ‬ ‫ﺗﻌﺪاد‬:4 ‫ﭘﺪر‬ ‫ﻧﺎم‬:‫ﺳﺆال‬ ‫ﺗﻌﺪاد‬:20 ‫آﻣﻮزﺷﮕﺎه‬ ‫ﻧﺎم‬:‫ﺷﺮوع‬ ‫زﻣﺎن‬:‫ﺳﺎﻋﺖ‬59/‫ﺻﺒﺢ‬ ‫ﭘﺎﯾﻪ‬:‫ﻧﻬﻢ‬‫وﻗﺖ‬:110‫دﻗﯿﻘﻪ‬ ٢ ‫ﭘﺮورش‬ ‫و‬ ‫آﻣﻮزش‬ ‫وزارت‬ ‫ﯾﺰد‬ ‫اﺳﺘﺎن‬ ‫ﭘﺮورش‬ ‫و‬ ‫آﻣﻮزش‬ ‫ﮐﻞ‬ ‫اداره‬ ‫ﺳﻨﺠﺶ‬ ‫اداره‬ 6 ‫ازاي‬ ‫ﺑﻪ‬ ‫را‬ ‫ﻣﻘﺎﺑﻞ‬ ‫ﻋﺒﺎرت‬ ‫ﺣﺎﺻﻞ‬4a‫و‬5b‫آورﯾﺪ‬ ‫ﺑﺪﺳﺖ‬. ba 217 1 7 ‫ﻋﻼﻣﺖ‬ ‫ﺑﺎ‬ ‫را‬ ‫ﺧﺎﻟﯽ‬ ‫ﺟﺎﻫﺎي‬)(‫ﮐﻨﯿﺪ‬ ‫ﮐﺎﻣﻞ‬.     22 3 3 266 105100503 2 54 45022     // 1 8 ‫ﺷﮑﻞ‬ ‫در‬Ax‫ي‬ ‫زاوﯾﻪ‬ ‫ﺳﺎز‬ ‫ﻧﯿﻢ‬tAy‫ﺑﺎﺷﺪ‬ ‫ﻣﯽ‬.‫ي‬ ‫ﻓﺎﺻﻠﻪ‬ ‫ﮐﻨﯿﺪ‬ ‫ﺛﺎﺑﺖ‬ ‫ي‬ ‫ﻧﻘﻄﻪ‬D‫ي‬ ‫زاوﯾﻪ‬ ‫ﺿﻠﻊ‬ ‫دو‬ ‫از‬tAy‫اﻧﺪازه‬ ‫ﯾﮏ‬ ‫ﺑﻪ‬‫اﺳﺖ‬.5/1 9‫اﻟﻒ‬(‫آورﯾﺪ‬ ‫دﺳﺖ‬ ‫ﺑﻪ‬ ‫اﺗﺤﺎد‬ ‫ﮐﻤﮏ‬ ‫ﺑﻪ‬ ‫را‬ ‫ﻋﺒﺎرت‬ ‫ﺣﺎﺻﻞ‬.   2 7a ‫ب‬(‫ﮐﻨﯿﺪ‬ ‫ﺗﺠﺰﯾﻪ‬ ‫اﺗﺤﺎد‬ ‫ﮐﻤﮏ‬ ‫ﺑﻪ‬ ‫را‬ ‫ﻣﻘﺎﺑﻞ‬ ‫ﻋﺒﺎرت‬. 62 xx 5/1 10‫ﺑﻨﻮﯾﺴﯿﺪ‬ ‫ﺗﻮاﻧﺪار‬ ‫ﻋﺪد‬ ‫ﺻﻮرت‬ ‫ﺑﻪ‬ ‫را‬ ‫ﯾﮏ‬ ‫ﻫﺮ‬ ‫ﺣﺎﺻﻞ‬.               210 44 273 14 15 28 451 11‫اﻟﻒ‬(‫ﺑﻨﻮﯾﺴﯿﺪ‬ ‫ﺻﻮرت‬ ‫ﺗﺮﯾﻦ‬ ‫ﺳﺎده‬ ‫ﺑﻪ‬ ‫را‬ ‫ﻣﻘﺎﺑﻞ‬ ‫ﻋﺒﺎرت‬ ‫ﺣﺎﺻﻞ‬.   123512 ‫ب‬(‫ﮐﺴﺮ‬ ‫ﻣﺨﺮج‬ 3 2 12 ‫ﮐﻨﯿﺪ‬ ‫ﮔـﻮﯾــﺎ‬ ‫را‬. 25/1 ‫ﻓﺮض‬ ‫ﺣﮑﻢ‬  DA  x t y
  • 3. ‫داوﻃﻠﺐ‬ ‫ﺷﻤﺎره‬‫ﺗﻌﺎﻟﯽ‬ ‫ﺑﺎﺳﻤﻪ‬‫درس‬ ‫ﻧﺎم‬:‫رﯾــﺎﺿﯽ‬ ‫ﻧﺎم‬:‫اﻣﺘﺤﺎن‬ ‫ﺗﺎرﯾﺦ‬:4/3/95 ‫ﺧﺎﻧﻮادﮔﯽ‬ ‫ﻧﺎم‬:‫ﺻﻔﺤﻪ‬ ‫ﺗﻌﺪاد‬:4 ‫ﭘﺪر‬ ‫ﻧﺎم‬:‫ﺳﺆال‬ ‫ﺗﻌﺪاد‬:20 ‫آﻣﻮزﺷﮕﺎه‬ ‫ﻧﺎم‬:‫ﺷﺮوع‬ ‫زﻣﺎن‬:‫ﺳﺎﻋﺖ‬59/‫ﺻﺒﺢ‬ ‫ﭘﺎﯾﻪ‬:‫ﻧﻬﻢ‬‫وﻗﺖ‬:110‫دﻗﯿﻘﻪ‬ ٣ ‫ﭘﺮورش‬ ‫و‬ ‫آﻣﻮزش‬ ‫وزارت‬ ‫ﯾﺰد‬ ‫اﺳﺘﺎن‬ ‫ﭘﺮورش‬ ‫و‬ ‫آﻣﻮزش‬ ‫ﮐﻞ‬ ‫اداره‬ ‫ﺳﻨﺠﺶ‬ ‫اداره‬ 12 ‫آورﯾﺪ‬ ‫ﺑﺪﺳﺖ‬ ‫را‬ ‫ﻣﻘﺎﺑﻞ‬ ‫ي‬ ‫ﻧﺎﻣﻌﺎدﻟﻪ‬ ‫ﺟﻮاب‬ ‫ﻣﺠﻤﻮﻋﻪ‬.  xx  6523 1 13 ‫اﻟﻒ‬(‫ﻧﻘﻄﻪ‬ ‫ﻣﺨﺘﺼﺎت‬M‫ﺧﻂ‬ ‫از‬32  xy‫آن‬ ‫ﻃﻮل‬ ‫ﮐﻪ‬ ‫ﮐﻨﯿﺪ‬ ‫ﭘﯿﺪا‬ ‫را‬4‫ﺑﺎﺷﺪ‬.       4 M ‫ب‬(‫ي‬ ‫ﻧﻘﻄﻪ‬ ‫آﯾﺎ‬       7 2 E‫ﺧﻂ‬ ‫روي‬32  xy‫ﺧﯿـﺮ‬ ‫ﺑﻠـﻪ‬ ‫دارد؟‬ ‫ﻗﺮار‬ 5/0 14 ‫ﺧﻂ‬2 3 2  xy‫را‬‫ﻣﻘﺎﺑﻞ‬ ‫دﺳﺘﮕﺎه‬ ‫در‬‫ﮐﻨﯿﺪ‬ ‫رﺳﻢ‬. 75/0 15 ‫اﻟﻒ‬(‫ي‬ ‫ﻧﻘﻄﻪ‬ ‫دو‬ ‫از‬ ‫ﮐﻪ‬ ‫ﺑﻨﻮﯾﺴﯿﺪ‬ ‫را‬ ‫ﺧﻄﯽ‬ ‫ﻣﻌﺎدﻟﻪ‬        7 2 ‫و‬        3 2 ‫ﺑﮕﺬرد‬. ‫ب‬(‫ﺧﻂ‬ ‫ﺑﺎ‬ ‫ﮐﻪ‬ ‫ﺑﻨﻮﯾﺴﯿﺪ‬ ‫را‬ ‫ﺧﻄﯽ‬ ‫ﻣﻌﺎدﻟﻪ‬34  xy‫ي‬ ‫ﻧﻘﻄﻪ‬ ‫از‬ ‫و‬ ‫ﺑﺎﺷﺪ‬ ‫ﻣﻮازي‬      5 1 ‫ﺑﮕﺬرد‬. 1 16 ‫ﻣﻘﺪار‬ ‫ﻣﻘﺎﺑﻞ‬ ‫دﺳﺘﮕﺎه‬ ‫ﺑﻪ‬ ‫ﺗﻮﺟﻪ‬ ‫ﺑﺎ‬x‫و‬y‫آورﯾﺪ‬ ‫ﺑﺪﺳﺖ‬ ‫را‬.      42 73 yx yx 1
  • 4. ‫داوﻃﻠﺐ‬ ‫ﺷﻤﺎره‬‫ﺗﻌﺎﻟﯽ‬ ‫ﺑﺎﺳﻤﻪ‬‫درس‬ ‫ﻧﺎم‬:‫رﯾــﺎﺿﯽ‬ ‫ﻧﺎم‬:‫اﻣﺘﺤﺎن‬ ‫ﺗﺎرﯾﺦ‬:4/3/95 ‫ﺧﺎﻧﻮادﮔﯽ‬ ‫ﻧﺎم‬:‫ﺻﻔﺤﻪ‬ ‫ﺗﻌﺪاد‬:4 ‫ﭘﺪر‬ ‫ﻧﺎم‬:‫ﺳﺆال‬ ‫ﺗﻌﺪاد‬:20 ‫آﻣﻮزﺷﮕﺎه‬ ‫ﻧﺎم‬:‫ﺷﺮوع‬ ‫زﻣﺎن‬:‫ﺳﺎﻋﺖ‬59/‫ﺻﺒﺢ‬ ‫ﭘﺎﯾﻪ‬:‫ﻧﻬﻢ‬‫وﻗﺖ‬:110‫دﻗﯿﻘﻪ‬ ٤ ‫ﭘﺮورش‬ ‫و‬ ‫آﻣﻮزش‬ ‫وزارت‬ ‫ﯾﺰد‬ ‫اﺳﺘﺎن‬ ‫ﭘﺮورش‬ ‫و‬ ‫آﻣﻮزش‬ ‫ﮐﻞ‬ ‫اداره‬ ‫ﺳﻨﺠﺶ‬ ‫اداره‬ 17 ‫ﺑﻨﻮﯾﺴﯿﺪ‬ ‫ﺻﻮرت‬ ‫ﺗﺮﯾﻦ‬ ‫ﺳﺎده‬ ‫ﺑﻪ‬ ‫را‬ ‫ﮔﻮﯾـﺎ‬ ‫ﻫﺎي‬ ‫ﻋﺒﺎرت‬ ‫از‬ ‫ﯾﮏ‬ ‫ﻫﺮ‬ ‫ﺣﺎﺻﻞ‬.)‫ﺑﺎﺷﺪ‬ ‫ﻣﯽ‬ ‫ﺻﻔﺮ‬ ‫ﻣﺨﺎﻟﻒ‬ ‫ﮐﺴﺮﻫﺎ‬ ‫ﺗﻤﺎم‬ ‫ﻣﺨﺮج‬.(     252 5 2 2 a a a a )‫اﻟﻒ‬       x x x x 2 32 2 72 )‫ب‬ 25/1 18‫ﺗﻘ‬ ‫ي‬ ‫ﻣﺎﻧﺪه‬ ‫ﺑﺎﻗﯽ‬ ‫و‬ ‫ﻗﺴﻤﺖ‬ ‫ﺧﺎرج‬‫ﺴﯿﻢ‬592 2  xx‫ﺑـﺮ‬32 x‫آورﯾﺪ‬ ‫ﺑﺪﺳﺖ‬ ‫را‬. 1 19‫اﻟﻒ‬(‫ﺧﯿـﺮ‬ ‫ﺑﻠـﻪ‬ ‫ﻫﺴﺘﻨﺪ؟‬ ‫ﻣﺘﺸﺎﺑﻪ‬ ‫دﻟﺨﻮاه‬ ‫ﻟﻮزي‬ ‫دو‬ ‫ﻫﺮ‬ ‫آﯾﺎ‬ ‫ب‬(‫ﻧﻘﺸﻪ‬ ‫ﯾﮏ‬ ‫ﻣﻘﯿﺎس‬ 1000 1 ‫اﺳﺖ‬.‫ﻧﻘﺸﻪ‬ ‫روي‬ ‫ﻧﻘﻄﻪ‬ ‫دو‬ ‫ي‬ ‫ﻓﺎﺻﻠﻪ‬54/‫اﺳﺖ‬ ‫ﻣﺘﺮ‬ ‫ﺳﺎﻧﺘﯽ‬.‫در‬ ‫ﻧﻘﻄﻪ‬ ‫دو‬ ‫اﯾﻦ‬ ‫ي‬ ‫ﻓﺎﺻﻠﻪ‬ ‫ﻃﺒﯿﻌﺖ‬)‫واﻗﻌﯽ‬ ‫ي‬ ‫اﻧﺪازه‬(‫ﻣﺘﺮ‬ ‫ﺳﺎﻧﺘﯽ‬ ‫ﭼﻨﺪ‬‫اﺳﺖ؟‬ 75/0 20A(‫ﮐﻨﯿﺪ‬ ‫اﻧﺘﺨﺎب‬ ‫را‬ ‫ﻣﻨﺎﺳﺐ‬ ‫ﮔﺰﯾﻨﻪ‬. -‫ي‬ ‫ﻗﺎﻋﺪه‬ ‫اﺿﻼع‬ ‫ﺑﻪ‬ ‫اي‬ ‫اﻟﻘﺎﻋﺪه‬ ‫ﻣﺮﺑﻊ‬ ‫ﻫﺮم‬ ‫ﺣﺠﻢ‬a‫ارﺗﻔﺎع‬ ‫و‬b‫اﺳﺖ؟‬ ‫ﮐﺪام‬ ‫ا‬‫ﻟﻒ‬( 2 3 1 ab‫ب‬(ba2 3 1 ‫ج‬( 3 ab ‫د‬( 3 22 ba -‫ﮐ‬ ‫اﮔﺮ‬‫ــ‬‫ﮐ‬ ‫ﻗﻄﺮ‬ ،‫ﺑﺎﺷﺪ‬ ‫ﺷﺪه‬ ‫ﻣﺤﺎط‬ ‫اﺳﺘﻮاﻧﻪ‬ ‫در‬ ‫اي‬ ‫ﺮه‬‫ـ‬‫ﮐﺪام‬ ‫ﺑﺎ‬ ‫ﻫﻤﻮاره‬ ‫ﺮه‬‫ﻣﺴﺎوي‬ ‫زﯾﺮ‬ ‫ﻫﺎي‬ ‫ﮔﺰﯾﻨﻪ‬ ‫از‬ ‫ﯾﮏ‬‫ﺑﺎﺷﺪ؟‬ ‫ﻧﻤﯽ‬ ‫اﻟﻒ‬(‫ب‬ ‫اﺳﺘﻮاﻧﻪ‬ ‫ارﺗﻔﺎع‬(‫اﺳﺘﻮاﻧﻪ‬ ‫ي‬ ‫ﻗﺎﻋﺪه‬ ‫ﻗﻄﺮ‬‫ج‬(‫اﺳﺘﻮاﻧﻪ‬ ‫ي‬ ‫ﻗﺎﻋﺪه‬ ‫دو‬ ‫ﻓﺎﺻﻠﻪ‬‫د‬(‫ﻣﺤﯿﻂ‬ ‫ﻧﺼﻒ‬‫ي‬ ‫ﻗﺎﻋﺪه‬‫اﺳﺘﻮاﻧﻪ‬ B(‫ﻗﺎﺋﻢ‬ ‫اﺿﻼع‬ ‫ﺑﻪ‬ ‫اي‬ ‫اﻟﺰاوﯾﻪ‬ ‫ﻗﺎﺋﻢ‬ ‫ﻣﺜﻠﺚ‬10‫و‬6‫را‬ ‫ﻣﺘﺮ‬ ‫ﺳﺎﻧﺘﯽ‬‫ﺿﻠﻊ‬ ‫ﺣﻮل‬10‫دوران‬ ‫ﻣﺘﺮي‬ ‫ﺳﺎﻧﺘﯽ‬‫ﺣﺠﻢ‬ ‫دﻫﯿﻢ‬ ‫ﻣﯽ‬ ‫آورﯾﺪ‬ ‫ﺑﺪﺳﺖ‬ ‫را‬ ‫ﺣﺎﺻﻞ‬. 5/1 »‫ﺑﺎﺷﯿﺪ‬ ‫ﺳﺮﺑﻠﻨﺪ‬ ‫و‬ ‫ﻣﻮﻓﻖ‬« 32592 2  xxx 10 6