امتحان نهایی خرداد 1403

<span class="d-inline-block ltr" data-lexical-equation="XGxlZnRceyBcYmVnaW57bWF0cml4fQogICB4K3k9MSAgXFwKICAgeC15PTMgIFxcClxlbmR7bWF0cml4fVwsXCxcUmlnaHRhcnJvdyAgXHJpZ2h0LlwsTygyLC0xKVwsXCxcLFwsXCwoMC8yNSlcLFwsXFJpZ2h0YXJyb3cgXCxcLE9IPVxkZnJhY3sxfXtcc3FydHsyfX1cLFwsXCxcLFwsKDAvMjUpXCxcLFwsLFwsXCxcLHt7cn1eezJ9fT17eyhcZGZyYWN7MX17XHNxcnR7Mn19KX1eezJ9fSt7eyhcc3FydHsyfSl9XnsyfX09XGRmcmFjezV9ezJ9XCxcLFwsXCxcLCgwLzI1KQ==" data-lexical-inline="true">{x+y=1x−y=3​⇒O(2,−1)(0/25)⇒OH=2<svg width="400em" height="1.08em" viewBox="0 0 400000 1080" preserveAspectRatio="xMinYMin slice"><path d="M95,702
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c69,-144,104.5,-217.7,106.5,-221
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M834 80h400000v40h-400000z"></path></svg>​1​(0/25),r2=(2<svg width="400em" height="1.08em" viewBox="0 0 400000 1080" preserveAspectRatio="xMinYMin slice"><path d="M95,702
c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14
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l0 -0
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H400000v40H845.2724
s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7
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M834 80h400000v40h-400000z"></path></svg>​1​)2+(2<svg width="400em" height="1.08em" viewBox="0 0 400000 1080" preserveAspectRatio="xMinYMin slice"><path d="M95,702
c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14
c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54
c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10
s173,378,173,378c0.7,0,35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429
c69,-144,104.5,-217.7,106.5,-221
l0 -0
c5.3,-9.3,12,-14,20,-14
H400000v40H845.2724
s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7
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M834 80h400000v40h-400000z"></path></svg>​)2=25​(0/25)(x−2)2+(y+1)2=25​(0/25)

معادله دایره‌ای را بنویسید که خط‌های x+y=1 و x−y=3 شامل قطرهایی از آن باشند و روی خط به معادله x+y=2 وتری به طول 22<svg width="400em" height="1.08em" viewBox="0 0 400000 1080" preserveAspectRatio="xMinYMin slice"><path d="M95,702
c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5,-10,-9.5,-14
c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54
c44.2,-33.3,65.8,-50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10
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c5.3,-9.3,12,-14,20,-14
H400000v40H845.2724
s-225.272,467,-225.272,467s-235,486,-235,486c-2.7,4.7,-9,7,-19,7
c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z
M834 80h400000v40h-400000z"></path></svg>​ ایجاد می‌کند. (1)

حل تشریحی سوال شماره 46 سؤالات امتحان نهایی درس هندسه (3) دوازدهم خرداد 1403 (ریاضی)

امتحان نهایی خرداد 1403

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