امتحان نهایی شهریور 1401

<span class="d-inline-block ltr" data-lexical-equation="Zl97K31ee1xwcmltZX17fSgxKT1cb3ZlcmJyYWNle1x1bmRlcnNldHt4XHRve3sxfV57K319fXtcbWF0aG9we1xsaW19fVwsXGRmcmFje2YoeCktZigxKX17eC0xfX1eeygwLzI1KX09XG92ZXJicmFjZXtcdW5kZXJzZXR7eFx0b3t7MX1eeyt9fX17XG1hdGhvcHtcbGltfX1cLFxkZnJhY3t8e3t4fV57Mn19LTF8LTB9e3gtMX19XnsoMC81KX09MlwsXCxcLCgwLzI1KVxSaWdodGFycm93IHktMD0yKHgtMSlcLFwsXCxcLFwsKDAvNSk=" data-lexical-inline="true">f+′​(1)=x→1+lim​x−1f(x)−f(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)​=x→1+lim​x−1∣x2−1∣−0​<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>​(0/5)​=2(0/25)⇒y−0=2(x−1)(0/5)

معادله نیم‌مماس راست تابع f(x)=∣x2−1∣ را در نقطه‌ای به طول x=1 واقع بر منحنی بنویسید. (1/5)

حل تشریحی سوال شماره 27 سؤالات امتحان نهایی درس ریاضی (3) دوازدهم شهریور 1401

امتحان نهایی شهریور 1401

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