tag:blogger.com,1999:blog-50576121224199075962024-03-08T01:35:12.737-08:00คณิตศาสตร์l3aNk123http://www.blogger.com/profile/16769058128661442050noreply@blogger.comBlogger2125tag:blogger.com,1999:blog-5057612122419907596.post-71838908618710512282013-03-22T22:16:00.000-07:002013-03-22T22:16:04.435-07:00เศษส่วน<span style="background-color: white;"><span style="color: #444444; font-family: Arial, Helvetica, sans-serif;">บทนิยามของเศษส่วน</span></span><br />
<span style="color: red; font-family: Arial, Helvetica, sans-serif;"><span style="background-color: white;">บทนิยาม เศษส่วนเป็นจำนวนที่เขียนอยู่ในรูป</span><img border="0" namo_eqn__="" src="http://www.thaigoodview.com/library/teachershow/sakaew/rattanaporn_l/math-m-1/images/sec01p01_html_eqn1.gif" style="background-color: white;" /><span style="background-color: white;"> เมื่อ a และ b เป็นจำนวนเต็มโดยที่ b ไม่เท่ากับศูนย์ เรียก a ว่า "ตัวเศษ" เรียก b ว่า "ตัวส่วน"</span></span><br />
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<span style="background-color: #f3f6f9; color: #444444; font-family: Arial, Helvetica, sans-serif; font-size: 15px;">การบวกหรือการลบเศษส่วน</span><br />
<span style="background-color: #f3f6f9; color: #444444; font-family: Arial, Helvetica, sans-serif; font-size: 15px;">1. การบวกหรือการลบเศษส่วนที่มีตัวส่วนเท่ากันให้นำตัวเศษมาบวกหรือลบโดยตัวส่วนคงเดิม</span><br />
<span style="background-color: #f3f6f9; color: #444444; font-family: Arial, Helvetica, sans-serif; font-size: 15px;">เช่น</span><br />
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<span style="background-color: #f3f6f9; font-size: 15px; text-align: start;"><span style="color: #444444; font-family: Arial, Helvetica, sans-serif;">2. การบวกลบเศษส่วนที่มีตัวส่วนไม่เท่ากัน ต้องทำตัวส่วนของเศษส่วนทุกจำนวนให้เท่ากันก่อน โดยอาจทำให้ตัวส่วนของแต่ละจำนวนเท่ากับ ค.ร.น. ของตัวส่วนทั้งหมด แล้วจึงบวกลบกัน</span></span></div>
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<span style="color: #444444; font-family: Arial, Helvetica, sans-serif;">เช่น</span></div>
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<span style="background-color: white; font-size: x-small;"><span style="color: #444444; font-family: Arial, Helvetica, sans-serif;">3.การคูณเศษส่วน</span></span></div>
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<span style="color: #444444; font-family: Arial, Helvetica, sans-serif;"><span style="background-color: white; font-size: x-small;">เมื่อ</span><span style="background-color: white; font-size: x-small;"> </span><img border="0" namo_eqn__="" src="http://www.thaigoodview.com/library/teachershow/sakaew/rattanaporn_l/math-m-1/images/sec04p02html_htm_eqn1.gif" style="background-color: white; font-size: small;" /><span style="background-color: white; font-size: x-small;">และ</span><span style="background-color: white; font-size: x-small;"> </span><img border="0" namo_eqn__="" src="http://www.thaigoodview.com/library/teachershow/sakaew/rattanaporn_l/math-m-1/images/sec04p02html_htm_eqn2.gif" style="background-color: white; font-size: small;" /><span style="background-color: white; font-size: x-small;"> </span><span style="background-color: white; font-size: x-small;">เป็นเศษส่วน ซึ่ง b , d</span><span style="background-color: white; font-size: x-small;"> </span><img border="0" namo_eqn__="" src="http://www.thaigoodview.com/library/teachershow/sakaew/rattanaporn_l/math-m-1/images/sec04p02html_htm_eqn3.gif" style="background-color: white; font-size: small;" /><span style="background-color: white; font-size: x-small;"> </span><span style="background-color: white; font-size: x-small;">0</span><span style="background-color: white; font-size: x-small;">ผลคูณของ</span><span style="background-color: white; font-size: x-small;"> </span><img border="0" namo_eqn__="" src="http://www.thaigoodview.com/library/teachershow/sakaew/rattanaporn_l/math-m-1/images/sec04p02html_htm_eqn4.gif" style="background-color: white; font-size: small;" /><span style="background-color: white; font-size: x-small;">และ</span><span style="background-color: white; font-size: x-small;"> </span><img border="0" namo_eqn__="" src="http://www.thaigoodview.com/library/teachershow/sakaew/rattanaporn_l/math-m-1/images/sec04p02html_htm_eqn5.gif" style="background-color: white; font-size: small;" /><span style="background-color: white; font-size: x-small;">หาได้จากกฎ</span><span style="background-color: white; font-size: x-small;"> </span><img border="0" namo_eqn__="" src="http://www.thaigoodview.com/library/teachershow/sakaew/rattanaporn_l/math-m-1/images/sec04p02html_htm_eqn6.gif" style="background-color: white; font-size: small;" /><span style="background-color: white; font-size: x-small;"> </span><span style="background-color: white; font-size: x-small;">x </span><img border="0" namo_eqn__="" src="http://www.thaigoodview.com/library/teachershow/sakaew/rattanaporn_l/math-m-1/images/sec04p02html_htm_eqn7.gif" style="background-color: white; font-size: small;" /><span style="background-color: white; font-size: x-small;"> </span><img border="0" namo_eqn__="" src="http://www.thaigoodview.com/library/teachershow/sakaew/rattanaporn_l/math-m-1/images/sec04p02html_htm_eqn8.gif" style="background-color: white; font-size: small;" /> <span style="font-size: x-small;">เช่น</span></span></div>
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<span style="color: #444444; font-family: Arial, Helvetica, sans-serif;"><span style="font-size: x-small;">ตัวอย่าง จงหาผลคูณของจำนวน </span><img border="0" namo_eqn__="" src="http://www.thaigoodview.com/library/teachershow/sakaew/rattanaporn_l/math-m-1/images/sec04p03html_htm_eqn1.gif" style="font-size: small;" /></span></div>
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<span style="color: #444444; font-family: Arial, Helvetica, sans-serif;"><span style="font-size: x-small;">วิธีทำ = </span><img border="0" namo_eqn__="" src="http://www.thaigoodview.com/library/teachershow/sakaew/rattanaporn_l/math-m-1/images/sec04p03html_htm_eqn2.gif" style="font-size: small;" /></span></div>
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<span style="color: #444444; font-family: Arial, Helvetica, sans-serif;"> = <img border="0" namo_eqn__="" src="http://www.thaigoodview.com/library/teachershow/sakaew/rattanaporn_l/math-m-1/images/sec04p03html_htm_eqn3.gif" style="font-size: small;" /></span></div>
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<span style="color: #444444; font-family: Arial, Helvetica, sans-serif;"> =<img border="0" namo_eqn__="" src="http://www.thaigoodview.com/library/teachershow/sakaew/rattanaporn_l/math-m-1/images/sec04p03html_htm_eqn4.gif" style="font-size: small;" /></span></div>
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<span style="color: #444444; font-family: Arial, Helvetica, sans-serif;"><span style="font-size: x-small;">ตอบ </span><img border="0" namo_eqn__="" src="http://www.thaigoodview.com/library/teachershow/sakaew/rattanaporn_l/math-m-1/images/sec04p03html_htm_eqn5.gif" style="font-size: small;" /></span></div>
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<span style="font-size: x-small;"><span style="color: #444444; font-family: Arial, Helvetica, sans-serif;">4.การหารเศษส่วน</span></span></div>
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<span style="color: #444444; font-family: Arial, Helvetica, sans-serif;"><span style="font-size: x-small;">เมื่อ </span><img border="0" namo_eqn__="" src="http://www.thaigoodview.com/library/teachershow/sakaew/rattanaporn_l/math-m-1/images/sec04p04html_htm_eqn1.gif" style="font-size: small;" /><span style="font-size: x-small;">และ </span><img border="0" namo_eqn__="" src="http://www.thaigoodview.com/library/teachershow/sakaew/rattanaporn_l/math-m-1/images/sec04p04html_htm_eqn2.gif" style="font-size: small;" /><span style="font-size: x-small;">แทนเศษส่วนใดๆ ซึ่ง และ</span><span style="font-size: x-small;">พิจารณาผลหารที่เกิดจากการหาร </span><img border="0" namo_eqn__="" src="http://www.thaigoodview.com/library/teachershow/sakaew/rattanaporn_l/math-m-1/images/sec04p04html_htm_eqn3.gif" style="font-size: small;" /><span style="font-size: x-small;">ด้วย </span><img border="0" namo_eqn__="" src="http://www.thaigoodview.com/library/teachershow/sakaew/rattanaporn_l/math-m-1/images/sec04p04html_htm_eqn4.gif" style="font-size: small;" /><span style="font-size: x-small;">ดังนี้</span></span></div>
<ul style="text-align: start;"><ul><ul><ul><span style="color: #444444; font-family: Arial, Helvetica, sans-serif; font-size: x-small;"><img border="0" namo_eqn__="" src="http://www.thaigoodview.com/library/teachershow/sakaew/rattanaporn_l/math-m-1/images/sec04p04html_htm_eqn5.gif" /><img border="0" namo_eqn__="" src="http://www.thaigoodview.com/library/teachershow/sakaew/rattanaporn_l/math-m-1/images/sec04p04html_htm_eqn6.gif" /> <img border="0" namo_eqn__="" src="http://www.thaigoodview.com/library/teachershow/sakaew/rattanaporn_l/math-m-1/images/sec04p04html_htm_eqn7.gif" /> <img border="0" namo_eqn__="" src="http://www.thaigoodview.com/library/teachershow/sakaew/rattanaporn_l/math-m-1/images/sec04p04html_htm_eqn11.gif" /> <img border="0" namo_eqn__="" src="http://www.thaigoodview.com/library/teachershow/sakaew/rattanaporn_l/math-m-1/images/sec04p04html_htm_eqn12.gif" /></span><br />
<span style="color: #444444; font-family: Arial, Helvetica, sans-serif; font-size: x-small;">ดังนั้น<img border="0" namo_eqn__="" src="http://www.thaigoodview.com/library/teachershow/sakaew/rattanaporn_l/math-m-1/images/sec04p04html_htm_eqn8.gif" /> <img border="0" namo_eqn__="" src="http://www.thaigoodview.com/library/teachershow/sakaew/rattanaporn_l/math-m-1/images/sec04p04html_htm_eqn9.gif" /> <img border="0" namo_eqn__="" src="http://www.thaigoodview.com/library/teachershow/sakaew/rattanaporn_l/math-m-1/images/sec04p04html_htm_eqn10.gif" /> <img border="0" namo_eqn__="" src="http://www.thaigoodview.com/library/teachershow/sakaew/rattanaporn_l/math-m-1/images/sec04p04html_htm_eqn13.gif" /></span></ul>
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<span style="color: #444444; font-family: Arial, Helvetica, sans-serif; font-size: x-small;">เช่น ตัวอย่าง จงหาผลหารของ <img border="0" namo_eqn__="" src="http://www.thaigoodview.com/library/teachershow/sakaew/rattanaporn_l/math-m-1/images/sec04p05html_htm_eqn1.gif" /></span></div>
<ul style="background-color: white;"><ul><span style="color: #444444; font-family: Arial, Helvetica, sans-serif; font-size: x-small;">วิธีทำ <img border="0" namo_eqn__="" src="http://www.thaigoodview.com/library/teachershow/sakaew/rattanaporn_l/math-m-1/images/sec04p05html_htm_eqn2.gif" /> <img border="0" namo_eqn__="" src="http://www.thaigoodview.com/library/teachershow/sakaew/rattanaporn_l/math-m-1/images/sec04p05html_htm_eqn3.gif" /></span><br />
<ul><span style="color: #444444; font-family: Arial, Helvetica, sans-serif; font-size: x-small;">= <img border="0" namo_eqn__="" src="http://www.thaigoodview.com/library/teachershow/sakaew/rattanaporn_l/math-m-1/images/sec04p05html_htm_eqn4.gif" /></span></ul>
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<ul><span style="color: #444444; font-family: Arial, Helvetica, sans-serif;"><span style="font-size: x-small;">ตอบ </span><span style="font-size: x-small;"><img border="0" namo_eqn__="" src="http://www.thaigoodview.com/library/teachershow/sakaew/rattanaporn_l/math-m-1/images/sec04p05html_htm_eqn5.gif" /></span><span style="font-size: x-small;"> </span></span></ul>
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l3aNk123http://www.blogger.com/profile/16769058128661442050noreply@blogger.com0tag:blogger.com,1999:blog-5057612122419907596.post-69416284735205422652013-03-22T21:41:00.000-07:002013-03-22T21:41:07.337-07:00การบวกลบตัวเลขที่ติดลบ<br />
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<span style="background-color: white; font-family: Arial, Helvetica, sans-serif;"><span lang="TH">การบวกลบเลขที่เป็นตัวติดลบมีวิธีการ
ดังนี้</span><o:p></o:p></span></div>
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<span style="background-color: white; font-family: Arial, Helvetica, sans-serif;"><span lang="TH" style="color: red;">การบวก</span><o:p></o:p></span></div>
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<span style="background-color: white; font-family: Arial, Helvetica, sans-serif;"><span lang="TH" style="background-position: initial initial; background-repeat: initial initial; color: #222222;">สมมติให้</span><span style="color: #222222;"> <span style="background-position: initial initial; background-repeat: initial initial;">a</span> <span lang="TH" style="background-position: initial initial; background-repeat: initial initial;">เป็นจำนวนเต็มใดๆแล้ว</span><br />
<span style="background-position: initial initial; background-repeat: initial initial;">1.</span> </span><span style="background-position: initial initial; background-repeat: initial initial; color: #c00000;">a+b = a+b</span><span style="background-position: initial initial; background-repeat: initial initial; color: #222222;"> </span><span style="color: #222222;"><br />
<span style="background-position: initial initial; background-repeat: initial initial;">2.</span> </span><span style="background-position: initial initial; background-repeat: initial initial; color: #c00000;">a + (-b) = a-b</span><span style="background-position: initial initial; background-repeat: initial initial; color: #222222;"> </span><span style="color: #222222;"><br />
<span style="background-position: initial initial; background-repeat: initial initial;">3.</span> </span><span style="background-position: initial initial; background-repeat: initial initial; color: #c00000;">-a + b = -a+b </span><span style="color: #222222;"><br />
<span style="background-position: initial initial; background-repeat: initial initial;">4.</span> </span><span style="background-position: initial initial; background-repeat: initial initial; color: #c00000;">-a + (-b) = -a-b</span><o:p></o:p></span></div>
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<span style="background-color: white; font-family: Arial, Helvetica, sans-serif;"><span lang="TH" style="background-position: initial initial; background-repeat: initial initial; color: #222222;">เช่น </span><span style="background-position: initial initial; background-repeat: initial initial; color: #222222;">1+2 = 1+2 </span><o:p></o:p></span></div>
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<span style="background-color: white; font-family: Arial, Helvetica, sans-serif;"><span style="color: #222222;">
1+(-2) = 1-2</span><o:p></o:p></span></div>
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<span style="background-color: white; font-family: Arial, Helvetica, sans-serif;"><span style="color: #222222;">
-1+2 = -1+2</span><o:p></o:p></span></div>
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<span style="background-color: white; font-family: Arial, Helvetica, sans-serif;"><span style="color: #222222;">
-1+(-2) = -1-2<br />
</span><span lang="TH" style="color: #002060;">การลบ</span><o:p></o:p></span></div>
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<span style="background-color: white; font-family: Arial, Helvetica, sans-serif;"><span lang="TH" style="background-position: initial initial; background-repeat: initial initial; color: #222222;">สมมติให้</span><span style="color: #222222;"> <span style="background-position: initial initial; background-repeat: initial initial;">a</span> <span lang="TH" style="background-position: initial initial; background-repeat: initial initial;">เป็นจำนวนเต็มใดๆแล้ว</span></span><br />
<span style="background-position: initial initial; background-repeat: initial initial; color: #222222;">1.</span><span style="color: #222222;"> </span><span style="background-position: initial initial; background-repeat: initial initial; color: #002060;">a-(b)= a-b</span><span style="background-position: initial initial; background-repeat: initial initial; color: #222222;"> </span><span style="color: #222222;"><br />
<span style="background-position: initial initial; background-repeat: initial initial;">2.</span> </span><span style="background-position: initial initial; background-repeat: initial initial; color: #002060;">a-(-b) = a+b</span><span style="color: #002060;"><br />
</span><span style="background-position: initial initial; background-repeat: initial initial; color: #222222;">3.
-a-(b) = -a-b</span><span style="color: #222222;"><br />
<span style="background-position: initial initial; background-repeat: initial initial;">4.</span> </span><span style="background-position: initial initial; background-repeat: initial initial; color: #002060;">-a-(-b) = -a+b</span><o:p></o:p></span></div>
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<span style="background-color: white; font-family: Arial, Helvetica, sans-serif;"><span lang="TH" style="background-position: initial initial; background-repeat: initial initial;">เช่น </span><span style="background-position: initial initial; background-repeat: initial initial;">1- (2) = 1-2</span><o:p></o:p></span></div>
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<span style="background-color: white; font-family: Arial, Helvetica, sans-serif;"><span style="background-position: initial initial; background-repeat: initial initial;"> 1- (-2) =1+2</span><o:p></o:p></span></div>
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<span style="background-color: white; font-family: Arial, Helvetica, sans-serif;"><span style="background-position: initial initial; background-repeat: initial initial;"> -1 - (2) = -1-2</span><o:p></o:p></span></div>
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<span style="background-color: white; font-family: Arial, Helvetica, sans-serif;"><span style="background-position: initial initial; background-repeat: initial initial;"> -1 - (-2) = -1+2</span><o:p></o:p></span></div>
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l3aNk123http://www.blogger.com/profile/16769058128661442050noreply@blogger.com4