ื™ืฉื™ื‘ื”ื‘ืฉื‘ื™ืœ ื–ื” ื™ืฉ ืื™ื ื˜ืจื ื˜
ื‘ื™ืช ืžื“ืจืฉ ืฉืืœ ืืช ื”ืจื‘ ืœื•ื— ืฉื ื” ื•ื™ืงื™ืฉื™ื‘ื” ืชืจื•ืžื•ืช

ื”ืงื“ืฉืช ื”ืœื™ืžื•ื“ ื‘ืืชืจ

ื”ืงื“ืฉ

ื™ืฉื™ื‘ื”ื‘ืฉื‘ื™ืœ ื–ื” ื™ืฉ ืื™ื ื˜ืจื ื˜
 ื‘ื™ืช ื”ืžื“ืจืฉ

ื‘ื™ืช ื”ืžื“ืจืฉ
  • ืžืฉื ื” ื•ื’ืžืจื
  • ืชืœืžื•ื“ ื‘ื‘ืœื™
  • ืกื•ื›ื”
ืงื˜ื’ื•ืจื™ื” ืžืฉื ื™ืช

ืฉืจืช ื”ืžื“ื™ื” ืžื•ืงื“ืฉ ืขืœ ื™ื“ื™ ืžืฉืคื—ืช ื’ืจื™ืŸ ืœืขื™ืœื•ื™ ื ืฉืžืช ื™ืงื™ืจื™ื”ื

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2 ื“ืง' ืงืจื™ืื” โ€ข 18 ื“ืง' ื”ืื–ื ื”
ืœื—ืฅ ืœื”ืงื“ืฉืช ืฉื™ืขื•ืจ ื–ื”

ืœื™ืžื•ื“ ื”ืฉื™ืขื•ืจ ืžื•ืงื“ืฉ ืœื”ืฆืœื—ืช

ืขื ื™ืฉืจืืœ

ืฉื™ืขื•ืจื™ื ืœื ืฉื™ืืคืจืฉืช ื”ืฉื‘ื•ืขืกื“ืจื•ืชืกืคืจื™ื”ืคืกืงื™ ื“ื™ืŸื‘ื—ืŸ ืืช ืขืฆืžืš

(ื ื”: ื‘ืžืฉื ื” โ€“ ื ื•. ื‘ืžืฉื ื”)


ื—ืœื•ืงืช ื”ืงืจื‘ื ื•ืช ื‘ื™ืŸ ืžืฉืžืจื•ืช ื”ื›ื”ื•ื ื”


(ื ื”: ืžืฉื ื” ืฉื ื™ื™ื”)


ื. ื”ื—ืœื•ืงื” ื‘ืจื’ืœื™ื ืฉื•ื•ื”


ื™ืฉ 24 ืžืฉืžืจื•ืช, ื›ืœ ืžืฉืžืจ ืขื•ื‘ื“ ืฉื‘ื•ืข.


ืงืจื‘ื ื•ืช ืฉืœื ืงืฉื•ืจื™ื ืœื—ื’ ื”ืžืฉืžืจ ื”ืงื‘ื•ืข ืขื•ืฉื” โ€“ ืชืžื™ื“ื™ื, ื ื“ืจื™ื ื•ื ื“ื‘ื•ืช ื•ืขื•ื“,


ืžื” ืฉื‘ื ื‘ืขืงื‘ื•ืช ื”ื—ื’ ื›ืœ ื”ืžืฉืžืจื•ืช ืขื•ืฉื™ื, ื•ืžืงื‘ืœื™ื ืื™ืžื•ืจื™ื (ื—ื–ื” ื•ืฉื•ืง ืฉืœ ืฉืœืžื™ ื—ื’ื™ื’ื” ืฉื™ืฉืจืืœื™ื ืžื‘ื™ืื™ื, ืขื•ืจื•ืช ืฉืœ ื”ืขื•ืœื•ืช, ื‘ืฉืจ ืฉืขื™ืจื™ ื”ื—ื˜ืืช), ื•ื›ืŸ ื—ื•ืœืงื™ื ื‘ืฉื•ื•ื” ืืช ืœื—ื ื”ืคื ื™ื ืฉืœ ื”ืฉื‘ืช ืฉื‘ืจื’ืœ (ืœืžืจื•ืช ืฉืืช ื”ืขื‘ื•ื“ื” ืฉืœื• ืขื•ืฉื” ื”ืžืฉืžืจ ื”ืจื’ื™ืœ).



  1. A.ื”ืขืจื” ืœืฉื•ื ื™ืช -


ื‘ื“ืจืš ื›ืœืœ "ืื™ืžื•ืจื™ื" ื–ื” ื”ื—ืœืง ื”ืžื•ืงืจื‘, ื›ืืŸ ื”ื›ื•ื•ื ื” ื”ื™ื "ืžื” ืฉืืžื•ืจ (ื›ืชื•ื‘) ื‘ืจื’ืœื™ื".



  1. B.ืžืงื•ืจ ืœืขื‘ื•ื“ื” ื•ืœื—ืœื•ืงื” ื”ืฉื•ื•ื” โ€“


ื“ื‘ืจื™ื ื™ื— -


(ื’) ื•ึฐื–ึถื” ื™ึดื”ึฐื™ึถื” ืžึดืฉืึฐืคึผึทื˜ ื”ึทื›ึผึนื”ึฒื ึดื™ื ืžึตืึตืช ื”ึธืขึธื ืžึตืึตืช ื–ึนื‘ึฐื—ึตื™ ื”ึทื–ึผึถื‘ึทื— ืึดื ืฉืื•ึนืจ ืึดื ืฉื‚ึถื” ื•ึฐื ึธืชึทืŸ ืœึทื›ึผึนื”ึตืŸ ื”ึทื–ึผึฐืจึนืขึท ื•ึฐื”ึทืœึผึฐื—ึธื™ึทื™ึดื ื•ึฐื”ึทืงึผึตื‘ึธื”.


(ื•) ื•ึฐื›ึดื™ ื™ึธื‘ึนื ื”ึทืœึผึตื•ึดื™ (=ื›ื”ืŸ) ืžึตืึทื—ึทื“ ืฉืึฐืขึธืจึถื™ืšึธ ืžึดื›ึผึธืœ ื™ึดืฉื‚ึฐืจึธืึตืœ ืึฒืฉืึถืจ ื”ื•ึผื ื’ึผึธืจ ืฉืึธื ื•ึผื‘ึธื ื‘ึผึฐื›ึธืœ ืึทื•ึผึทืช ื ึทืคึฐืฉืื•ึน ืึถืœ ื”ึทืžึผึธืงื•ึนื ืึฒืฉืึถืจ ื™ึดื‘ึฐื—ึทืจ ื™ึฐืงึนื•ึธืง.


(ื–) ื•ึฐืฉืึตืจึตืช ื‘ึผึฐืฉืึตื ื™ึฐืงึนื•ึธืง ืึฑืœึนื”ึธื™ื• ื›ึผึฐื›ึธืœ ืึถื—ึธื™ื• ื”ึทืœึฐื•ึดื™ึผึดื ื”ึธืขึนืžึฐื“ึดื™ื ืฉืึธื ืœึดืคึฐื ึตื™ ื™ึฐืงึนื•ึธืง.


ื”ืคืฉื˜ โ€“ ืฉื›ื”ืŸ ื™ื›ื•ืœ ืœื”ืงืจื™ื‘ ืืช ืงืจื‘ื ื•ืชื™ื• ื”ืคืจื˜ื™ื™ื ืžืชื™ ืฉืจื•ืฆื”.


(ื—) ื—ึตืœึถืง ื›ึผึฐื—ึตืœึถืง ื™ึนืื›ึตืœื•ึผ ืœึฐื‘ึทื“ ืžึดืžึฐื›ึผึธืจึธื™ื• ืขึทืœ ื”ึธืึธื‘ื•ึนืช: ืก


ื“ื•ืจืฉื™ื โ€“



  1. ืฉื™ืฉ ื–ืžื ื™ื (ืจื’ืœื™ื) ืฉื‘ื”ื ื›ืœ ื”ื›ื”ื ื™ื ื™ื›ื•ืœื™ื ืœื‘ื•ื.


ืžืชื™? "ืžืื—ื“ ืฉืขืจื™ืš" โ€“ ื‘ืจื’ืœ, ืฉืื– ื›ืœ ื™ืฉืจืืœ ื ื›ื ืกื™ื ื‘ืฉืขืจ (ืขื™ืจ) ืื—ื“.


ื•ื›ื™ื•ืŸ ืฉืžืงืจื™ื‘ ื”ื•ื ื’ื ืื•ื›ืœ โ€“ "ืœื›ื”ืŸ ื”ืžืงืจื™ื‘ ืื•ืชื” ืœื• ืชื”ื™ื”" (ื•ื™ืงืจื ื–).



  1. ื—ืœื•ืงืช ืœื—ื ื”ืคื ื™ื โ€“ "ื—ืœืง ื›ื—ืœืง ื™ืื›ืœื•" โ€“ ื•ื”ืจื™ ืœืื›ื™ืœืช ื”ืงืจื‘ื ื•ืช ืฉืœ ื”ื—ื’ ื›ื‘ืจ ืœืžื“ื ื•, ืืœื ื–ื” ืœืœื—ื ื”ืคื ื™ื (ืจืฉ"ื™ โ€“ ืžืจื‘ื™ื ื“ื•ื•ืงื ืื•ืชื•, ื›ื™ ืžืœื‘ื“ ื”ืงื˜ืจืช ื”ื‘ื–ื™ื›ื™ื โ€“ ืื™ืŸ ื‘ื• ืฉื•ื ืขื‘ื•ื“ื” ื‘ืœื—ื ืขืฆืžื•).

  2. ืžื ื™ื™ืŸ ืฉืงืจื‘ื ื•ืช ืฉืœื ืžื—ืžืช ื”ืจื’ืœ ืฉื”ื ืจืง ืœืžืฉืžืจ ื”ืงื‘ื•ืข?


"ืœื‘ื“ ืžืžื›ืจื™ื• ืขืœ ื”ืื‘ื•ืช" โ€“ ื—ื•ืฅ ืžืžื” ืฉื”ืื‘ื•ืช ื”ืงื“ืžื•ื ื™ื ืžื›ืจื• (ื”ืชื ื• ื‘ื™ื ื™ื”ื) ืฉื›ืœ ืื—ื“ ื‘ืฉื‘ื•ืข ืฉืœื•.


(ื“ื™ืœื•ื’ ื ื•. 7+ ืขื“ 3- ืžืกื•ืฃ ื”ื’ืžืจื)



  1. C.ืชื•ืกืคื•ืช ื‘ืกื•ืฃ ื”ืžืฉื ื” ืœื’ื‘ื™ ื”ืงืจื‘ื ื•ืช ื”ืจื’ื™ืœื™ื ืฉื”ื•ืœื›ื™ื ืœืžืฉืžืจ ื”ืจื’ื™ืœ -

  2. ื’ื "ืฉืืจ ืงืจื‘ื ื•ืช ืฆื™ื‘ื•ืจ" ื”ื•ืœื›ื™ื ืœืžืฉืžืจ ื”ืงื‘ื•ืข โ€“ ืœืจื‘ื•ืช ื—ื˜ืื•ืช ืฉืœ ื”ืฆื™ื‘ื•ืจ (ืคืจ ื”ืขืœื ื“ื‘ืจ ืฉืœ ืฆื™ื‘ื•ืจ, ืฉืขื™ืจื™ ื—ื˜ืืช).

  3. 2."ื•ื”ื•ื ืžืงืจื™ื‘ ืืช ื”ื›ืœ" โ€“ ืœืจื‘ื•ืช "ืงื™ืฅ ื”ืžื–ื‘ื—".

  4. D.(ื ื•. ื‘ืžืฉื ื” ื”ืฉื ื™ื™ื”)ื‘ืœื—ื ื”ืคื ื™ื ื—ืœืงื• ื‘ืฉื•ื•ื” ื’ื ื‘ืฉื‘ืช ืฉืœืคื ื™ ืื• ืื—ืจื™ ื”ืจื’ืœ โ€“ ืžื“ืจื‘ื ืŸ,


ื›ื™ ืžืžื™ืœื ืฆืจื™ื›ื™ื ืœื”ื™ื•ืช ืฉื ื‘ืื•ืชื” ืฉื‘ืช.


ื•ืื ื”ืชืขื›ื‘ื• ื™ื•ืชืจ ืžื™ื•ื โ€“ ืžืงื‘ืœื™ื 2 ื—ืœื•ืช, ื•ื”ืžืฉืžืจื•ืช ืฉืืžื•ืจื™ื ืœืงื‘ืœ ื—ื•ืœืงื™ื ืืช ื”ืฉืืจ.


(ื ื”: ืžืฉื ื” ืจืืฉื•ื ื”)


ื‘. ื”ื—ืœื•ืงื” ื‘ืกื•ื›ื•ืช ื•ืฉืžื™ื ื™ ืขืฆืจืช โ€“


A. ื‘ืกื•ื›ื•ืช


2 ืื™ืœื™ื


1 ืฉืขื™ืจ


ืคืจื™ื 13 => 7


14 ื›ื‘ืฉื™ื


ื—ืœื•ืงืช ื”ืคืจื™ื - ื”ืคืจื™ื ื–ื” ื”ื›ื™ ื—ืฉื•ื‘, ื•ืœื›ืŸ ืžืชื—ื™ืœื™ื ื‘ื–ื” (ื‘ืกื‘ื‘, ืžื™ ืฉืขืฉื” ืืชืžื•ืœ ืœื ืขื•ืฉื” ื”ื™ื•ื). ื›ื™ื•ืŸ ืฉื™ืฉ 70 ืคืจื™ื ื•24 ืžืฉืžืจื•ืช, 70/24 = 2 ื•ืฉืืจื™ืช 22, ื™ื•ืฆื ืฉื›ืœ ื”ืžืฉืžืจื•ืช ืขืฉื• 3 ืžืœื‘ื“ 2.


ื•ื‘ืื™ืœื™ื ื•ืฉืขื™ืจ โ€“ ืœืคื™ ื”ืกื“ืจ ื‘ืกื‘ื‘ (ืžืื™ืจื™)


ื•ืžื” ืฉื ืฉืืจ โ€“ ืœื›ื‘ืฉื™ื โ€“ ืœืคื™ ื”ืกื“ืจ ื‘ืกื‘ื‘, ื›ืฉื—ืœืง ืžืงืจื™ื‘ื™ื 2 ื•ื—ืœืง 1 (ื”ืžืฉื ื”) -
























































 

ื

ื‘

ื’

ื“

ื”

ื•

ื–

ืคืจื™ื

13

12

11

10

9

8

7

2 ืื™ืœื™ื ื•ืฉืขื™ืจ ื—ื˜ืืช

3

3

3

3

3

3

3

ืžืฉืžืจื•ืช ืฉื ืฉืืจื• ืœื›ื‘ืฉื™ื

8

9

10

11

12

13

14

ื—ืœื•ืงืช 14 ื”ื›ื‘ืฉื™ื ื‘ื™ื ื™ื”ื (14 ืคื—ื•ืช ืžืกืคืจ ื”ืžืฉืžืจื•ืช = ื”ืžืกืคืจ ืฉื™ืขืฉื• ืคืขืžื™ื™ื)

6 * 2


2 * 1

5 * 2


4 * 1

4 * 2


6 * 1

3 * 2


8 * 1

2 * 2


10 * 1

1 * 2


12 * 1

14 * 1


B. ื‘ืฉืžื™ื ื™ ืขืฆืจืช ื™ืฉ ืคืจ 1 โ€“


ืจื‘ื ืŸ โ€“ ืคื™ืก ื‘ื™ืŸ ืฉื ื™ ื”ืžืฉืžืจื•ืช ืฉืœื ื”ืงืจื™ื‘ื• 3 ืคืจื™ื.


ืจื‘ื™ โ€“ ืคื™ืก ื‘ื™ืŸ ื›ื•ืœื (ื›ืžื• ื‘ืคืกื— ื•ืฉื‘ื•ืขื•ืช)


            ื—ื™ื–ื•ืงื™ื ืœืจื‘ื™: โ€“



  1. ืžืฉื ืชื ื• โ€“ "ื‘ืฉืžื™ื ื™ ื—ื–ืจื• ืœืคื™ื™ืก ื›ื‘ืจื’ืœื™ื".


ื“ื—ื™ื™ื” โ€“ ื”ื›ื•ื•ื ื” ืœืคื™ื™ืก ื‘ื™ืŸ ืฉืชื™ ื”ืžืฉืžืจื•ืช.



  1. ื‘ืจื™ื™ืชื โ€“ "ื›ืœ ื”ืžืฉืžืจื•ืช ืžืฉืœืฉื•ืช ื—ื•ืฅ ืžืฉื ื™ื™ื ืฉืœื" (ื•ื”ืจื™ ืœืจื‘ืŸ ืจืง ืื—ืช ืœื).


ื“ื—ื™ื™ื” โ€“ ื”ื›ื•ื•ื ื” ืจืง ื‘ืกื•ื›ื•ืช, ืœืœื ืฉืžื™ื ื™ ืขืฆืจืช.


      (ื•ืื ื›ืŸ ืžื” ื”ื—ื™ื“ื•ืฉ ืฉืœ ื”ื‘ืจื™ื™ืชื? (ืื ื—ื ื• ื™ื•ื“ืขื™ื ืœืกืคื•ืจ...) โ€“


      ื”ื—ื™ื“ื•ืฉ ืฉืขื•ืฉื™ื ืกื‘ื‘ ืžืกื•ื“ืจ ื‘ื™ืŸ ื”ืžืฉืžืจื•ืช.


C. ืฉื‘ืขื™ื ืคืจื™ื ื›ื ื’ื“ ืฉื‘ืขื™ื ืื•ืžื•ืช ื”ืขื•ืœื, ื•ื”ืคืจ ืฉืœ ืฉืž"ืข ื›ื ื’ื“ ื™ืฉืจืืœ.




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ื”ืจื‘ ืื•ืจื™ ื‘ืจื™ืœื™ืื ื˜

ืืชืจ "ืกื™ื ื™"
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    16 ื“ืง'
    ืฉื‘ืช

    ืฉื‘ืช - ื“ืฃ ื›ื•'

    ื”ื“ืฃ ื”ื™ื•ืžื™ ื”ืงืฆืจ

    ื™ื’' ื—ืฉื•ื•ืŸ ื”ืชืฉืข"ื’
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    13 ื“ืง'
    ืฉื‘ืช

    ืฉื‘ืช - ื“ืฃ ื›ื—'

    ื”ื“ืฃ ื”ื™ื•ืžื™ ื”ืงืฆืจ

    ื˜ื•' ื—ืฉื•ื•ืŸ ื”ืชืฉืข"ื’
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    27 ื“ืง'
    ื›ืชื•ื‘ื•ืช

    ืžืกื›ืช ื›ืชื•ื‘ื•ืช ื“ืฃ ื›"ื”

    ื™' ืื“ืจ ื”ืชืฉืข"ื”
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    24 ื“ืง'
    ืžื’ื™ืœื”

    ืžืกื›ืช ืžื’ื™ืœื” ื“ืฃ ื—'

    ื›"ื ืชืžื•ื– ื”ืชืฉืข"ื“
ืกื•ื›ื”
ืกื•ื›ื”
ืกืจื˜ื•ื ื™ื ืงืฆืจื™ื ืžื™ื•ื—ื“ื™ื
ืฉื™ืขื•ืจื™ื ืคื•ืคื•ืœืจื™ื™ื
ืฉื™ืขื•ืจื™ื ืคื•ืคื•ืœืจื™ื™ื
ืฉื™ืขื•ืจื™ื ื—ื“ืฉื™ื
ืฉื™ืขื•ืจื™ื ื—ื“ืฉื™ื

ืจื‘ื ื™ื ื‘ื‘ื™ืช ื”ืžื“ืจืฉ

ืฉื™ืขื•ืจื™ื ื‘ืืชืจ ื™ืฉื™ื‘ื”
ื ื™ื•ื•ื˜ ืžื”ื™ืจ
  • ื”ืจื”"ื’ ื–ืœืžืŸ ื‘ืจื•ืš ืžืœืžื“ ืฉืœื™ื˜"ื
     ื”ืจื”"ื’ ื–ืœืžืŸ ื‘ืจื•ืš ืžืœืžื“ ืฉืœื™ื˜"ื
  • ื”ืจื‘ ืฉ. ื™ื•ืกืฃ ื•ื™ื™ืฆืŸ
     ื”ืจื‘ ืฉ. ื™ื•ืกืฃ ื•ื™ื™ืฆืŸ
  • ื”ืจื‘ ืืœื™ืขื–ืจ ืžืœืžื“
     ื”ืจื‘ ืืœื™ืขื–ืจ ืžืœืžื“
  • ื”ืจื‘ ืื•ืจื™ ืฉืจืงื™
     ื”ืจื‘ ืื•ืจื™ ืฉืจืงื™
  • ื”ืจื”"ื’ ื—ื™ื™ื ืฉื˜ื™ื™ื ืจ
     ื”ืจื”"ื’ ื—ื™ื™ื ืฉื˜ื™ื™ื ืจ
  • ื”ืจื”"ื’ ืฉืืจ ื™ืฉื•ื‘ ื›ื”ืŸ ื–ืฆ"ืœ
     ื”ืจื”"ื’ ืฉืืจ ื™ืฉื•ื‘ ื›ื”ืŸ ื–ืฆ"ืœ
  • ื”ืจื‘ ื“ื•ื“ ื“ื•ื“ืงื‘ื™ืฅ'
     ื”ืจื‘ ื“ื•ื“ ื“ื•ื“ืงื‘ื™ืฅ'
  • ื”ืจื‘ ื—ื™ื™ื ืื‘ื™ื”ื•ื ืฉื•ื•ืจืฅ
     ื”ืจื‘ ื—ื™ื™ื ืื‘ื™ื”ื•ื ืฉื•ื•ืจืฅ
  • ื”ืจื‘ ื”ืœืœ ื’ืคืŸ
     ื”ืจื‘ ื”ืœืœ ื’ืคืŸ
  • ื”ืจื‘ ื—ื™ื™ื ื™ืจื•ื—ื ืกืžื•ื˜ืจื™ืฅ
     ื”ืจื‘ ื—ื™ื™ื ื™ืจื•ื—ื ืกืžื•ื˜ืจื™ืฅ
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    ืงืจื•ื‘ ืืœื™ืš

    ืงืจื•ื‘ ืืœื™ืš โ€“ ื—ืงืช

    ืขืœื•ืŸ ืžืกืคืจ 606

    ืขืœื•ืŸ ืžืกืคืจ 606

    ืจื‘ื ื™ื ืฉื•ื ื™ื | ืชืžื•ื– ืชืฉืค"ื•
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    ืคืจืฉืช ืฉื‘ื•ืข

    ืœื›ืœ ืื™ืฉ ื™ืฉ ืฉื. ืขืœ ื“ืช, ืจื ื•ืฉืœื˜ื•ืŸ

    ื”ืจื‘ ื™ื•ืกืฃ ื›ืจืžืœ | ืชืžื•ื– ืชืฉืค"ื•
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    ื—ืžื“ืช ื”ืฉื‘ืช

    ืžื’ืข ืžืื›ืœื™ื ื‘ื—ื•ื ื›ืœื™ ืจืืฉื•ืŸ, ื›ืœื™ ืฉื ื™, ื•ืขื™ืจื•ื™

    ื”ืจื‘ ื‘ืฆืœืืœ ื“ื ื™ืืœ | ืชืžื•ื– ืชืฉืค"ื•
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    ื—ืงืช

    ืœืžื” ื”ื›ืกืฃ ื”ืคืš ืœื ื™ื™ืจ ื—ืกืจ ืขืจืš?

    ื”ืจื‘ ื ืชื ืืœ ื™ื•ืกื™ืคื•ืŸ | ืชืžื•ื– ืชืฉืค"ื•
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    ืœื ื˜ืจื’ื“ื™ื”, ืฆืžื™ื—ื”

    ื‘ื–ืžืŸ ืฉื™ืฉ ืžื™ ืฉืžื–ื”ื™ืจื™ื ืžืคื ื™ ืฉืงื™ืขืชื• ืฉืœ ื—ื•ืฉืŸ ื”ืžืฉืคื˜, ื”ืžืฆื™ืื•ืช ื‘ืฉื˜ื— ืžืกืคืจืช ืกื™ืคื•ืจ ืื—ืจ: ืขื•ืœื ื“ื™ื ื™ ื”ืžืžื•ื ื•ืช ื”ืชื•ืจื ื™, ืืฉืจ ืžืชืžื•ื“ื“ ืขื ืืชื’ืจื™ ื”ื—ื™ื™ื ื”ืžื•ื“ืจื ื™ื™ื, ื—ื•ื•ื” ื‘ืขืฉื•ืจื™ื ื”ืื—ืจื•ื ื™ื ืคืจื™ื—ื” ื—ืกืจืช ืชืงื“ื™ื ื•ืžืขืžื™ื“ ืืœื˜ืจื ื˜ื™ื‘ื” ื”ืœื›ืชื™ืช ืžืขืฉื™ืช ืœืžืฉืคื˜ ื”ืื–ืจื—ื™

    ื”ืจื‘ ืื•ืจื™ ืกื“ืŸ | ืชืžื•ื– ืชืฉืค"ื•
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    ืฆื‘ื

    ื’ื‘ื•ืœื•ืช ื”ืžื—ื ื”

    ืกื•ื’ื™ื™ืช ื”ื”ืคืจื“ื” ื”ืžื’ื“ืจื™ืช ื‘ืฆื‘ื ืื™ื ื” ื“ื•ืžื” ืœืขื‘ื•ื“ื” ืžืฉื•ืชืคืช ืฉืœ ื’ื‘ืจื™ื ื•ื ืฉื™ื ื‘ื—ื™ื™ื ื”ืื–ืจื—ื™ื™ื. ืชื ืื™ ื”ืœื—ื™ืžื”, ื”ืฆืคื™ืคื•ืช ื•ื”ืงืจื‘ื” ื”ืžืžื•ืฉื›ืช ื™ื•ืฆืจื™ื ืžืฆื™ืื•ืช ื™ื™ื—ื•ื“ื™ืช ืฉื‘ื” ืฉืืœืช ื”ื’ื‘ื•ืœื•ืช ื•ื“ื™ื ื™ ืฆื ื™ืขื•ืช ืžืงื‘ืœื™ื ืžืฉืžืขื•ืช ืื—ืจืช

    ื”ืจื‘ ืขื–ืจื™ืืœ ืืจื™ืืœ | ืชืžื•ื– ืชืฉืค"ื•
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    ืจื‘ื™ื‘ื™ื

    ื”ืขื‘ื•ื“ื” - ืชืคืงื™ื“ ื”ืื“ื ื‘ืขื•ืœื

    ื—ื•ื‘ื” ืขืœ ื”ืื‘ ืœืœืžื“ ืืช ื‘ื ื• ืื•ืžื ื•ืช, ื›ืœื•ืžืจ ืžืงืฆื•ืข | ื’ื ืื ื”ื‘ืŸ ื™ื‘ื—ืจ ืœื”ืงื“ื™ืฉ ืืช ื—ื™ื™ื• ืœืชื•ืจื”, ืขื“ื™ื™ืŸ ืžื•ื˜ืœ ืขืœ ื”ืื‘ ืœืœืžื“ ืืช ื‘ื ื• ืื•ืžื ื•ืช | ื”ื‘ืจื›ื” ืฉื”' ืžื‘ื™ื ืœืื“ื ืžื’ื™ืขื” ืขืœ ื™ื“ื™ ื—ืจื™ืฆื•ืชื• ืฉืœ ื”ืื“ื ื‘ืขื‘ื•ื“ืชื• | ื”ื”ืชื‘ื˜ืœื•ืช ืžืขื‘ื•ื“ื” ื›ืจื•ื›ื” ื‘ืื™ืกื•ืจื™ ืชื•ืจื” ื•ื‘ื—ื™ืœื•ืœ ื”ืฉื | ื”ื”ืชื‘ื˜ืœื•ืช ืžืขื‘ื•ื“ื” ื”ื™ื ื”ืชื‘ื˜ืœื•ืช ืžืื—ื“ ืžืชืคืงื™ื“ื™ื• ื”ื™ืกื•ื“ื™ื™ื ืฉืœ ื”ืื“ื, ืฉื ื‘ืจื "ืœืขื•ื‘ื“ื” ื•ืœืฉื•ืžืจื”", ื•ืžื‘ื™ืื” ืืช ื”ืื“ื ืœื™ื“ื™ ืขื‘ื™ืจื”

    ื”ืจื‘ ืืœื™ืขื–ืจ ืžืœืžื“ | ืชืžื•ื– ืชืฉืค"ื•
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    ืคืจืคืจืื•ืช ื‘ืคืจืฉื” ื-ืช ืค"ืฉ

    ืคืจืคืจืื•ืช ื‘ืคืจืฉื” ื-ืช-ืค"ืฉ ืคืจืฉืช ื—ืงืช

    ื•ึทื™ึตึผืฉึถืื‘ ื‘ึฐึผืึถืจึถืฅ ื˜ื•ึนื‘. ืžื”ื™ ืฉืžื” ื”ืžืงื•ืจื™ ืฉืœ ืืจืฅ ื˜ื•ื‘ ื•ืžื“ื•ืข ืฉื™ื ื• ืืช ืฉืžื” | ื”ืื ื™ืฉ ื”ื‘ื“ืœ ื‘ืงืจื™ืืช ื”ืชื•ืจื” ื‘ื™ืŸ ืฉื™ืจืช ื”ื™ื, ืฉื™ืจืช ื”ื‘ืืจ ื•ืฉื™ืจืช ืžืฉื” ื‘ืคืจืฉืช ื”ืื–ื™ื ื• | ืžื” ื”ื˜ืขื ืฉืžืฉื” ืจื‘ื™ื ื• ื”ื ื™ื— ืืช ื ื—ืฉ ื”ื ื—ื•ืฉืช ืขืœ ืขืžื“ื•, ื•ืจืง ื—ื–ืงื™ื”ื• ืžืœืš ื™ื”ื•ื“ื” ืขืžื“ ื•ืฉื‘ืจื• ืฉืœื ื™ื•ื›ืœื• ืœืขื‘ื•ื“ ืื•ืชื• | ืจืื™ื” ื‘ืคืจืฉื” ืฉื‘ื›ืœ ืืจื‘ืขื™ื ืฉื ื” ืฉื”ื™ื• ื‘ื ื™ ื™ืฉืจืืœ ื‘ืžื“ื‘ืจ ืœื ื”ื™ื” ืจื•ืฆื— ื ืคืฉ ื‘ืฉื’ื’ื”. ื•ืขื•ื“!

    ืจื‘ื ื™ื ืฉื•ื ื™ื | ืชืžื•ื– ืชืฉืค"ื•
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    30 ื“ืง'
    ืื•ืจื•ืช ื”ืงื•ื“ืฉ - ื”ืจื‘ ื–ืœืžืŸ ืžืœืžื“ ืฉืœื™ื˜"ื

    ื™ืกื•ื“ ื•ืขื™ืงืจ ื”ืขื‘ื•ื“ื” ื”ืจื•ื—ื ื™ืช

    ื“ืจืš ื”ืงื•ื“ืฉ ื’' ืคืกืงื” ื”-ื•

    ื”ืจื‘ ืžื‘ืืจ ื›ื™ ื™ืกื•ื“ ื”ืขื‘ื•ื“ื” ื”ืจื•ื—ื ื™ืช ืžื•ืฉืชืช ืขืœ ืืžื•ื ื” ื•ื”ื›ืจืช ื”ืขืจืš ื”ื™ื—ืกื™ ื•ื”ืชืœื•ืช ื”ืžื•ื—ืœื˜ืช ืฉืœ ื”ืขื•ืœื ื•ื”ืื“ื ื‘ื‘ื•ืจืื•. ื‘ื ื•ืกืฃ, ื”ืจื‘ ืžืกื‘ื™ืจ ื›ื™ืฆื“ ืžื•ื“ืขื•ืช ืขืžื•ืงื” ื–ื• ืžื•ื‘ื™ืœื” ืœืชื”ืœื™ืš ืžืชืžื™ื“ ืฉืœ ื”ืชืขืœื•ืช ื•ื“ื‘ื™ืงื•ืช ื‘ืื•ืจ ื”ืืœื•ืงื™, ืฉืฉื™ืื• ื•ื”ืฉืœืžืชื• ื‘ืื™ื ืœื™ื“ื™ ื‘ื™ื˜ื•ื™ ื‘ื”ืคื™ื›ืช ื”ืจืข ืœื˜ื•ื‘ ื•ื”ื—ื•ืฉืš ืœืื•ืจ.

    ื”ืจื”"ื’ ื–ืœืžืŸ ื‘ืจื•ืš ืžืœืžื“ ืฉืœื™ื˜"ื | ื‘' ืชืžื•ื– ืชืฉืค"ื•
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    33 ื“ืง'
    ืžืืžืจ ืฉืœื™ืฉื™

    ื’ื‘ื•ืœื•ืช ื”ื”ื™ื’ื™ื•ืŸ ื‘ืžืฆื•ื•ืช ื›ื™ื‘ื•ื“ ื”ื•ืจื™ื

    ืžืืžืจ ืฉืœื™ืฉื™ ื”ืžืฉืš ืกื™ื›ื•ื ืคืกืงื” ื–'

    ื”ืฉื™ืขื•ืจ ื‘ื•ื—ืŸ ืืช ื’ื‘ื•ืœื•ืช ื”ื”ื™ื’ื™ื•ืŸ ื‘ืงื™ื•ื ืžืฆื•ื•ืช ืฉื ื“ืžื•ืช ืฉื›ืœืชื ื™ื•ืช, ื›ืžื• ื›ื™ื‘ื•ื“ ืื‘ ื•ืื ื•ื‘ืจื™ืช ืžื™ืœื”, ืชื•ืš ื”ื“ื’ืฉื” ืฉื™ื”ื•ื“ื™ื ืžืงื™ื™ืžื™ื ืื•ืชืŸ ื›ื’ื–ื™ืจื” ืืœื•ืงื™ืช ืžื•ื—ืœื˜ืช ืฉืžืขื‘ืจ ืœื˜ื‘ืข ื”ืื ื•ืฉื™. ื“ืจืš ืขื™ื•ืŸ ื‘ืกื•ื’ื™ื•ืช ืžื”ื’ืžืจื, ืคืกื™ืงื•ืช ื”ืจืžื‘"ื ื•ื”ืกื‘ืจื™ ืกืคืจ ื”ื›ื•ื–ืจื™, ืžื•ื“ื’ืฉืช ื”ืžืกื™ืจื•ืช ื•ื”ืฉืžื—ื” ื”ืขืœ-ื˜ื‘ืขื™ืช ื”ื ื“ืจืฉื•ืช ื‘ืžืฆื•ื•ืช ืืœื•.

    ื”ืจื‘ ื—ื™ื™ื ืื‘ื™ื”ื•ื ืฉื•ื•ืจืฅ | ื›"ื’ ืกื™ื•ืŸ ืชืฉืค"ื•
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    33 ื“ืง'
    ื™ืกื•ื“ื•ืช ื”ืฉ"ืก

    ื™ืกื•ื“ื•ืช ื“ื™ื ื™ ื”ืงื“ืฉื•ืช

    ื“ื™ื ื™ ื”ื”ืงื“ืฉื•ืช ืื™ื ื ืงืฉื•ืจื™ื ืจืง ืœืกื“ืจ ืงื“ืฉื™ื, ืืœื ื’ื ืœื ื“ืจื™ื ื•ืœื“ื™ื ื™ ืžืžื•ื ื•ืช. ื‘ืฉื™ืขื•ืจ ืžื•ื‘ืื•ืช ื”ื—ืœื•ืงื•ืช ื”ื‘ืกื™ืกื™ื•ืช ื‘ื™ืŸ ืงื“ื•ืฉืช ื“ืžื™ื ืœืงื“ื•ืฉืช ื”ื’ื•ืฃ, ืงื“ื•ืฉืช ืคื” ื•ืงื“ื•ืฉืช ื›ืœื™, ืงื ื™ื™ืŸ ื”ื’ื•ืฃ ื•ืงื ื™ื™ืŸ ืคื™ืจื•ืช, ื”ื—ืœื•ืงื•ืช ื”ืžืงื‘ื™ืœื•ืช ื•ื”ื™ื—ืก ื‘ื™ื ื™ื”ืŸ.

    ื”ืจื‘ ื“ื•ื“ ื ื™ืกื™ื ื–ืื’ื | ื‘' ืชืžื•ื– ืชืฉืค"ื•
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    30 ื“ืง'
    ืื•ืจื•ืช ื”ืชืฉื•ื‘ื” - ื”ืจื‘ ื”ืจืืœ ื›ื”ืŸ

    ื”ื—ื™ื‘ื•ืจ ื‘ื™ืŸ ืชืฉื•ื‘ืช ื”ื™ื—ื™ื“ ืœืชื™ืงื•ืŸ ื”ืขื•ืœื

    ืื•ืจื•ืช ื”ืชืฉื•ื‘ื” ืคืจืง ื”, ืคืกืงื” ื–-ื—

    ื™ืฉื ื” ื“ื•- ืกื˜ืจื™ื•ืช ื‘ื™ืŸ ื”ื“ื—ืฃ ืฉืœ ื”ืขื•ืœื ืœืชืฉื•ื‘ื” ื•ื”ืชืงื“ืžื•ืช ืœื‘ื™ืŸ ืชืฉื•ื‘ืช ื”ืื“ื ื•ืจืฆื•ื ื• ืœื”ื™ื˜ื™ื‘: ื”ืŸ ืžืขื•ืจืจื•ืช ื–ื• ืืช ื–ื• ื‘ื”ื“ื“ื™ื•ืช.

    ื”ืจื‘ ื”ืจืืœ ื›ื”ืŸ | ื‘' ืชืžื•ื– ืชืฉืค"ื•
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    30 ื“ืง'
    ื—ืงืช

    ื“ื™ื‘ื•ืจ ืœืกืœืข ืื• ื”ื›ืืชื•

    ื”ืจื‘ ื™ืฆื—ืง ื‘ืŸ ื™ื•ืกืฃ | ืชืžื•ื– ืชืฉืค"ื•
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    10 ื“ืง'
    ื›ื”ื ื™ื

    ื‘ืจื›ืช ื›ื•ื”ื ื™ื - ื”ืกื‘ืจื™ื ื•ื”ื“ืจื›ื” ืœื›ื•ื”ื ื™ื

    ื”ืจื‘ ื™ืฆื—ืง ื‘ืŸ ื™ื•ืกืฃ | ืชืžื•ื– ืชืฉืค"ื•
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    1:00
    ืงื•ืœ ืฆื•ืคื™ืš - ื”ืจื‘ ืฉืžื•ืืœ ืืœื™ื”ื•

    ืคืจืฉืช ื—ืงืช ืชืฉืค"ื• โ€“ ื”ื’ื™ืข ื–ืžืŸ ื’ืื•ืœืชื›ื

    ื”ืจื‘ ืฉืžื•ืืœ ืืœื™ื”ื• | ืชืžื•ื– ืชืฉืค"ื•
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    23 ื“ืง'
    ืื•ืจื•ืช ื™ืฉืจืืœ ื•ืชื—ื™ื™ืชื•

    ื‘ื™ืŸ ื”ืจืฆื•ืŸ ื”ื˜ื•ื‘ ืœื”ื“ืจื›ื” ื”ืืœื•ื”ื™ืช

    ื”ืฉื™ืขื•ืจ ืขื•ืกืง ื‘ืžื’ื‘ืœื•ืชื™ื• ืฉืœ "ื”ืจืฆื•ืŸ ื”ื˜ื•ื‘" ื›ืฉื”ื•ื ืžื ื•ืชืง ืžื”ื“ืจื›ื” ืžืขืฉื™ืช, ื•ืžื‘ืงืจ ืืช ื”ื ืฆืจื•ืช ืฉื‘ื—ืจื” ืœื”ื™ืฉืขืŸ ืขืœื™ื• ื‘ืœื‘ื“ ืชื•ืš ื ื˜ื™ืฉืช ื—ื•ืงื™ ื”ืชื•ืจื” ื•ื”ืžืฆื•ื•ืช. ืœืขื•ืžืช ื–ืืช, ืžื•ื“ื’ืฉ ื›ื™ ืชืคืงื™ื“ื” ืฉืœ ื›ื ืกืช ื™ืฉืจืืœ ื”ื•ื ืœื—ื‘ืจ ืืช ื”ืจืฆื•ืŸ ื”ื˜ื•ื‘ ื”ืคื ื™ืžื™ ืืœ ื”ื”ื“ืจื›ื” ื•ื”ื—ื•ืงื™ื•ืช ื”ืืœื•ื”ื™ืช, ื•ื‘ื›ืš ืœืกืœื•ืœ ืืช ื”ื“ืจืš ืœืชื™ืงื•ืŸ ื•ืœื”ืืจืช ืื•ืžื•ืช ื”ืขื•ืœื ื›ื•ืœืŸ.

    ื”ืจื‘ ืžืฉื” ื’ื ืฅ | ื’' ืชืžื•ื– ืชืฉืค"ื•
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    35 ื“ืง'
    ืชืคื™ืœื” ื•ื‘ื™ืช ื›ื ืกืช

    ื ืคื™ืœืช ืืคื™ื™ื - ื”ืœื›ื•ืช ื•ืžื ื”ื’ื™ื

    ื”ืจื‘ ื™ืฆื—ืง ื‘ืŸ ื™ื•ืกืฃ | ืชืžื•ื– ืชืฉืค"ื•
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    7 ื“ืง'
    ื›ื”ื ื™ื

    ืงื“ื•ืฉืช ื”ื›ื•ื”ื ื™ื ื•ื”ื™ื—ืก ืืœื™ื”ื

    ื”ืจื‘ ื™ืฆื—ืง ื‘ืŸ ื™ื•ืกืฃ | ืชืžื•ื– ืชืฉืค"ื•
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    34 ื“ืง'
    ื—ืงืช

    ืกื•ื“ ืคืจื” ืื“ื•ืžื” ื•ืฉื™ืจืช ื”ื‘ืืจ

    ื”ืจื‘ ืžืกื‘ื™ืจ ื›ื™ ืžืฆื•ื•ืช ืคืจื” ืื“ื•ืžื” ืžืกืžืœืช ืงื‘ืœืช ืขื•ืœ ืžืœื›ื•ืช ืฉืžื™ื™ื ืžื•ื—ืœื˜ืช, ื•ืžื“ื’ื™ืฉ ืืช ื™ื™ื—ื•ื“ื™ื•ืชืŸ ืฉืœ ื”ืœื›ื•ืช ื”ื˜ื•ืžืื” ื•ื”ื˜ื”ืจื” ื”ืฉื™ื™ื›ื•ืช ืœืขื ื™ืฉืจืืœ ื‘ืœื‘ื“ ื‘ื–ื›ื•ืช ืงื“ื•ืฉืชื• ื•ืงื‘ืœืช ื”ืชื•ืจื”. ื‘ื ื•ืกืฃ, ื”ืจื‘ ืžืชืืจ ื›ื™ืฆื“ ื”ืชื‘ื˜ืœื•ืช ืจืืฉื•ื ื™ืช ื–ื• ืžื•ื‘ื™ืœื” ื‘ืกื•ืคื• ืฉืœ ืชื”ืœื™ืš ืœื—ื™ื‘ื•ืจ ืคื ื™ืžื™, ื˜ื‘ืขื™ ื•ืฉืžื— ืืœ ื”ืชื•ืจื”, ื”ืžืฉืชืงืฃ ื‘"ืฉื™ืจืช ื”ื‘ืืจ" ื•ืžื‘ื™ื ื‘ืกื•ืคื• ืœืชื™ืงื•ืŸ ื”ืขื•ืœื ื•ืœื ื™ืฆื—ื•ืŸ ืžื•ื—ืœื˜ ืขืœ ื”ืžื•ื•ืช ื•ืขืœ ื™ืฆืจ ื”ืจืข.

    ื”ืจื‘ ื—ื™ื™ื ื‘ืŸ ืฉื•ืฉืŸ | ื’' ืชืžื•ื– ืชืฉืค"ื•
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    39 ื“ืง'
    ืžืืžืจื™ ื”ืจืื™"ื” - ื”ืจื‘ ืฉ.ื™ ื•ื™ื™ืฆืŸ

    ืžืœื—ืžืช ืขื•ืœื ื”ืงื•ื“ืฉ ื•ื”ื—ื•ืœ ื•ืฉื ื”ื•ื•ื™ื”

    ืžืืžืจื™ ื”ืจืื™"ื” - ืžืืžืจ "ื ืื“ืจ ื‘ืงื•ื“ืฉ" ืกืขื™ืฃ ื“'

    ื”ืจื‘ ื–ืฆ"ืœ ืžืžืฉื™ืš ืืช ื”ืคื™ืกืงืื•ืช ื”ืงื•ื“ืžื•ืช ื•ืื—ืจื™ ืฉื”ื•ื ืžื“ื’ื™ืฉ ืืช ื”ืชืคื™ืกื•ืช ืฉืœ ืขื•ืœื ื”ืงื•ื“ืฉ ื•ื”ื—ื•ืœ ื”ื•ื ืื•ืžืจ ืฉื™ืฉ ืืช ืฉื ื”ื•ื•ื™ื” ืฉื”ื•ื ื”ืฉื•ืจืฉ ืฉืœ ืฉื ื™ ืžืœื—ืžื•ืช ื”ืœืœื•.

    ื”ืจื‘ ืฉ. ื™ื•ืกืฃ ื•ื™ื™ืฆืŸ | ืœ' ืกื™ื•ืŸ ืชืฉืค"ื•
ืขื•ื“ ืฉื™ืขื•ืจื™ื
ืื–ื•ืจ ืื™ืฉื™

ืžืชื—ื‘ืจื™ื ืขื›ืฉื™ื• ืœืฆืคื™ื” ื‘ืฉื™ืขื•ืจื™ื ืื—ืจื•ื ื™ื ืฉืœืš, ื”ืฉืืœื•ืช ืฉืœืš ื‘ืฉืืœ ืืช ื”ืจื‘ ื•ืœื”ืžืฉืš ืฆืคื™ื” ื‘ืกื“ืจื•ืช ืฉื™ืขื•ืจื™ื ื‘ื“ื™ื•ืง ืžื”ืจื’ืข ืฉื‘ื• ืขื–ื‘ืช ืื•ืชืŸ.

ืืช ื”ืžื™ื“ืข ื”ื“ืคืกืชื™ ื‘ืืžืฆืขื•ืช ืืชืจ yeshiva.org.il