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امتحان نهایی دوازدهم خرداد 1401 (ریاضی)

سؤالات امتحان نهایی درس فیزیک (3) دوازدهم خرداد 1401




سؤالات امتحان نهایی درس ریاضیات گسسته دوازدهم خرداد 1401

سؤالات امتحان نهایی درس هندسه (3) دوازدهم خرداد 1401




سؤالات امتحان نهایی حسابان (2) دوازدهم خرداد 1401

سؤالات امتحان نهایی درس عربی، زبان قرآن (3) دوازدهم خرداد 1401 (ریاضی-تجربی)

سؤالات امتحان نهایی درس تعلیمات دینی (3) دوازدهم خرداد 1401 (ریاضی-تجربی)

سؤالات امتحان نهایی درس علوم اجتماعی دوازدهم خرداد 1401 (ریاضی-تجربی)

سؤالات امتحان نهایی درس شیمی (3) دوازدهم خرداد 1401 (ریاضی-تجربی)

امتحان نهایی دوازدهم خرداد 1401 (ریاضی)

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برای دو بردار غیر صفر a<svg width="0.471em" height="0.714em" style="width:0.471em" viewBox="0 0 471 714" preserveAspectRatio="xMinYMin"><path d="M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5
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-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1
-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59
H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359
c-16-25.333-24-45-24-59z"></path></svg> ثابت کنید دو بردار a<svg width="0.471em" height="0.714em" style="width:0.471em" viewBox="0 0 471 714" preserveAspectRatio="xMinYMin"><path d="M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5
3.333 2.667 6.667 9 10 19 6.667 24.667 20.333 43.667 41 57 7.333 4.667 11
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-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1
-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59
H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359
c-16-25.333-24-45-24-59z"></path></svg> و b<svg width="0.471em" height="0.714em" style="width:0.471em" viewBox="0 0 471 714" preserveAspectRatio="xMinYMin"><path d="M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5
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10.667 11 18 0 6-1 10-3 12s-6.667 5-14 9c-28.667 14.667-53.667 35.667-75 63
-1.333 1.333-3.167 3.5-5.5 6.5s-4 4.833-5 5.5c-1 .667-2.5 1.333-4.5 2s-4.333 1
-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59
H213l-171-1c-8.667-6-13-12.333-13-19 0-4.667 4.333-11.333 13-20h359
c-16-25.333-24-45-24-59z"></path></svg> بر هم عمودند اگر و فقط اگر a<svg width="0.471em" height="0.714em" style="width:0.471em" viewBox="0 0 471 714" preserveAspectRatio="xMinYMin"><path d="M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5
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c-16-25.333-24-45-24-59z"></path></svg>⋅b<svg width="0.471em" height="0.714em" style="width:0.471em" viewBox="0 0 471 714" preserveAspectRatio="xMinYMin"><path d="M377 20c0-5.333 1.833-10 5.5-14S391 0 397 0c4.667 0 8.667 1.667 12 5
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-7 1c-4.667 0-9.167-1.833-13.5-5.5S337 184 337 178c0-12.667 15.667-32.333 47-59
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c-16-25.333-24-45-24-59z"></path></svg>=0. (1)

حل تشریحی سوال شماره 53 سؤالات امتحان نهایی درس هندسه (3) دوازدهم خرداد 1401

امتحان نهایی دوازدهم خرداد 1401 (ریاضی)

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