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امتحان نهایی شهریور 1403

سؤالات امتحان نهایی درس فیزیک (3) دوازدهم شهریور 1403

سؤالات امتحان نهایی درس ریاضی (3) دوازدهم شهریور 1403

سؤالات امتحان نهایی درس زیست‌شناسی (3) دوازدهم شهریور 1403

امتحان نهایی شهریور 1403

در x=2 پیوسته است. (0/25)<span class="d-inline-block ltr" data-lexical-equation="e2Z9XntccHJpbWV9KHgpPVxsZWZ0XHtcYmVnaW57bWF0cml4fTR4XCxcLFwsXCxcLFwsXCxcLFwsXCxcLFwsXCxcLFwsXCxcLFwsXCxcLFwsXCxcLFwsXCxcLFwsXCxcLFwsXCwgJiB4PDJcXCAyXGxlZnQoXGRmcmFjezF9ezJcc3FydHt4LTF9fVxyaWdodCkgJiB4PjJcZW5ke21hdHJpeH1ccmlnaHQuXCxcLFwsXCxcUmlnaHRhcnJvd1xvdmVyYnJhY2V7e3t7e2Z9J319X3srfX0oMik9MX1eeygwLzI1KX1cLFwsXCwsXCxcLFwsXG92ZXJicmFjZXt7e3t7Zn0nfX1fey19fSgyKT04fV57KDAvMjUpfQ==" data-lexical-inline="true">f′(x)=⎩<svg width="0.8889em" height="0.016em" style="width:0.8889em" viewBox="0 0 888.89 16" preserveAspectRatio="xMinYMin"><path d="M384 0 H504 V16 H384z M384 0 H504 V16 H384z"></path></svg>⎨<svg width="0.8889em" height="0.016em" style="width:0.8889em" viewBox="0 0 888.89 16" preserveAspectRatio="xMinYMin"><path d="M384 0 H504 V16 H384z M384 0 H504 V16 H384z"></path></svg>⎧​4x2(2x−1<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
c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z
M834 80h400000v40h-400000z"></path></svg>​1​)​x&lt;2x&gt;2​⇒f′+​(2)=1<svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMinYMin slice"><path d="M6 548l-6-6v-35l6-11c56-104 135.3-181.3 238-232 57.3-28.7 117
-45 179-50h399577v120H403c-43.3 7-81 15-113 26-100.7 33-179.7 91-237 174-2.7
 5-6 9-10 13-.7 1-7.3 1-20 1H6z"></path></svg><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMidYMin slice"><path d="M200428 334
c-100.7-8.3-195.3-44-280-108-55.3-42-101.7-93-139-153l-9-14c-2.7 4-5.7 8.7-9 14
-53.3 86.7-123.7 153-211 199-66.7 36-137.3 56.3-212 62H0V214h199568c178.3-11.7
 311.7-78.3 403-201 6-8 9.7-12 11-12 .7-.7 6.7-1 18-1s17.3.3 18 1c1.3 0 5 4 11
 12 44.7 59.3 101.3 106.3 170 141s145.3 54.3 229 60h199572v120z"></path></svg><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMaxYMin slice"><path d="M400000 542l
-6 6h-17c-12.7 0-19.3-.3-20-1-4-4-7.3-8.3-10-13-35.3-51.3-80.8-93.8-136.5-127.5
s-117.2-55.8-184.5-66.5c-.7 0-2-.3-4-1-18.7-2.7-76-4.3-172-5H0V214h399571l6 1
c124.7 8 235 61.7 331 161 31.3 33.3 59.7 72.7 85 118l7 13v35z"></path></svg>​(0/25)​,f′−​(2)=8<svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMinYMin slice"><path d="M6 548l-6-6v-35l6-11c56-104 135.3-181.3 238-232 57.3-28.7 117
-45 179-50h399577v120H403c-43.3 7-81 15-113 26-100.7 33-179.7 91-237 174-2.7
 5-6 9-10 13-.7 1-7.3 1-20 1H6z"></path></svg><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMidYMin slice"><path d="M200428 334
c-100.7-8.3-195.3-44-280-108-55.3-42-101.7-93-139-153l-9-14c-2.7 4-5.7 8.7-9 14
-53.3 86.7-123.7 153-211 199-66.7 36-137.3 56.3-212 62H0V214h199568c178.3-11.7
 311.7-78.3 403-201 6-8 9.7-12 11-12 .7-.7 6.7-1 18-1s17.3.3 18 1c1.3 0 5 4 11
 12 44.7 59.3 101.3 106.3 170 141s145.3 54.3 229 60h199572v120z"></path></svg><svg width="400em" height="0.548em" viewBox="0 0 400000 548" preserveAspectRatio="xMaxYMin slice"><path d="M400000 542l
-6 6h-17c-12.7 0-19.3-.3-20-1-4-4-7.3-8.3-10-13-35.3-51.3-80.8-93.8-136.5-127.5
s-117.2-55.8-184.5-66.5c-.7 0-2-.3-4-1-18.7-2.7-76-4.3-172-5H0V214h399571l6 1
c124.7 8 235 61.7 331 161 31.3 33.3 59.7 72.7 85 118l7 13v35z"></path></svg>​(0/25)​پس در x=2 مشتق‌پذیر نیست. (0/25)

مشتق‌پذیری تابع <span class="d-inline-block ltr" data-lexical-equation="Zih4KT1cbGVmdFx7XGJlZ2lue21hdHJpeH0ye3t4fV57Mn19XCxcLFwsXCxcLFwsXCxcLFwsXCxcLFwsXCxcLFwsXCxcLFwsXCxcLFwsXCwgJiB7fSAmIHg8MlxcIDZ4LTRcLFwsXCxcLFwsXCxcLFwsXCxcLFwsXCxcLFwsICYge30gJiB4PTJcXCAyXHNxcnR7eC0xfSs2ICYge30gJiB4PjJcZW5ke21hdHJpeH1ccmlnaHQu" data-lexical-inline="true">f(x)=⎩<svg width="0.8889em" height="0.016em" style="width:0.8889em" viewBox="0 0 888.89 16" preserveAspectRatio="xMinYMin"><path d="M384 0 H504 V16 H384z M384 0 H504 V16 H384z"></path></svg>⎨<svg width="0.8889em" height="0.016em" style="width:0.8889em" viewBox="0 0 888.89 16" preserveAspectRatio="xMinYMin"><path d="M384 0 H504 V16 H384z M384 0 H504 V16 H384z"></path></svg>⎧​2x26x−42x−1<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
c-6,0,-10,-1,-12,-3s-194,-422,-194,-422s-65,47,-65,47z
M834 80h400000v40h-400000z"></path></svg>​+6​​x&lt;2x=2x&gt;2​ را در نقطۀ x=2 بررسی کنید. (1)

حل تشریحی سوال شماره 28 سؤالات امتحان نهایی درس ریاضی (3) دوازدهم شهریور 1403

امتحان نهایی شهریور 1403

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