{"level":"info","input":{"Message":"[เสียงดนตรี] (อาจารย์ราม) สวัสดีครับนักเรียน ขอต้อนรับเข้าสู่ห้องเรียนวิทยาศาสตร์ของ สสวท. นะครับ ผมครูราม ติวารี ครับ (อาจารย์เพลงชาติ) ครูเพลงชาติ พรหมมาพันธุ์ ครับ (อาจารย์ราม) มาพบกันในฟิสิกส์นะครับ มัธยมศึกษาปีที่ 4  เล่ม  1 เหมือนเดิมนะครับ บทที่ 2 นะครับ บทที่ 2 ก็คือการเคลื่อนที่ในแนวตรงนะครับ ในหัวข้อแรกก็คือ 2 จุด  1 นะครับ  2 จุด  1 เรามาดูซิครับว่าจุดประสงค์ของการเรียนรู้วันนี้คืออะไรนะครับ ในบทที่ 2 นะครับ เรามาดูที่ เลยครับ น ก็คือจุดประสงค์การเรียนรู้ของหัวข้อแรกนะครับก็คือ 2 จุด  1 เนี้ยชื่อหัวข้อก็คือต แหน่งนะครับต แหน่งหรือ นะครับ จุดประสงค์ก็คืออธิบายการระบุต แหน่งของวัตถุนะครับ ต แหน่งต แหน่งนี้ส คัญมากนะครับ อย่างตอนนี้นะฮะ เรานั่งอยู่ในต แหน่ง  1 ของ สสวท นะฮะ ใช่ครับ เราก ลัง อ่า อยู่ในห้องเรียนวิทยาศาสตร์นะฮะ นั่งอยู่ที่โต๊ะนี้ ครับ นะฮะ ถ้าเราบอกว่าอยู่ที่ ให้คนอื่นเขาสื่อสารรู้เรื่องก็คือต้องมีอ้างอิงต้องมีการบอกว่าห่างจากอะไรอยู่ตรงไหนอะไรยังไงใช่ไหมครับน่ะนี่คือต แหน่งนะครับ เรามาดูครับว่าเรื่องราวของต แหน่งนี้เป็นยังไงนะครับ ก็คือเรามีแผนที่น่ะเริ่มต้นจากตัวแผนที่นี้ก่อนนะครับ ครับ อยากให้นักเรียนดูแผนที่นะฮะแล้วเนี้ยลอง นะฮะ เป็นรูปดวงดาวขึ้นไปในช่องใดช่องนึงในนี้นะคับ แล้วดูสิว่าสิ่งที่เราจะพูดต่อเนี้ยตรงกับที่นักเรียน ตาไว้มั้ยนะครับ นะฮะ โอเคครับ ก็จะตรงไม่ตรงยังไงก็แล้วแต่ ก็คือเรามีดวงดาวเกิดขึ้นที่นี่นะครับ ครับ นะฮะ ดวงดาวเกิดขึ้นที่นี่ แล้วเรามีแผ่นภาพอยู่ก็คือมีภูเขา ครับ นะครับ อันนี้คืออะไรครับ คุณครูเพ็ญชาติครับ บ้านครับ บ้าน นะครับ และนี่อะไรครับ อันนี้ผมยังยืนยันค นึง กอหญ้าครับ ก็คืออันนี้กอหญ้านะครับ ก็คือเป็นสวนนะฮะ เป็นสวนอันสวยงามของเรานะครับ เนี่ย ทีนี้ ถ้าเราจะพูดต แหน่งของตัวดวงดาวอันเนี้ยครับ นะฮะ ต แหน่งของดวงดาวว่าอยู่ที่ต แหน่งไหน ก่อนอื่นต้องตกลงก่อนว่าแล้วจุดอ้างอิงหรือ อ่า ตัวอ้างอิงของเราเนี้ยมันคืออะไร ครับ นะฮะ จุดอ้างอิงถ้าสมมุติว่าเป็นตัวภูเขาคือที่นี่นะครับ เราก็จะบอกว่าต แหน่งของดวงดาว ต แหน่งของดวงดาวก็คือไปทางทิศตะวันออกหรือทางขวาก็คือ  1 ช่องใช่ไหมครับ  2  สาม  4  ครับ ก็คือไปทางทิศตะวันออก 4 ช่อง ครับ สมมติว่าแต่ละช่องเนี่ย เท่ากับ   1 กิโลละกัน ครับ นะฮะ   1 กิโลเมตรนะครับ ก็คือ 4 ช่องก็คือ 4 กิโลเมตร ครับ นะครับ เพราะฉะนั้น การหาต แหน่งของดวงดาวนี้คือไปทางทิศตะวันออก 4 กิโลเมตร ครับ แล้วหลังจากนั้นก็คือ มาอีก  1 กิโล แล้วก็เจอดวงดาวของเราคือ 2 กิโล ครับ นะครับ ก็คือไปทางทิศใต้ ครับ นะฮะ โดย โดยทั่วไปก็คือเราก หนดทิศคืออย่างงี้นะครับ ก็คืออันนี้คือ ขึ้นข้างบน สมมติว่าเราก หนดให้เป็น เหนือนะครับ แล้วก็ไปทางขวาก็คือ ทิศตะวันออก แน่นอนลงมาทางใต้นะครับ แล้วก็ไปทางซ้ายเนี่ยคือ ทิศตะวันตกนะครับ อันนี้คือเวลาเราพูดทิศ หรือจะไปอ้างอิงกับตัวแกนเอ็กซ์บวกก็ได้ ครับ แกนเอ็กซ์บวกนะครับ นะฮะ แล้วก็แกนเอ็กซ์ลบนะครับ ก็ได้นะครับ ก็อันนี้คือการระบุต แหน่งของดวงดาว ครับ นะครับ ดวงดาวในแผนที่นี้ นักเรียนก็ลอง ท กิจกรรมนี้กับเพื่อน ๆ นะฮะ หรือตอนนี้อยู่บ้านเรียนออนไลน์ก็คือ ลองท กิจกรรมนี้กับ อ่า ผู้ปกครองก็ได้นะครับ ครับ นะฮะ เรามาดูต่อครับ นะฮะ ก็คือ ตัวเนี้ยคือเป็นการระบุต แหน่งของตัว อ่า ดวงดาวอันนี้ก็คือวัดจากตัวภูเขานะฮะ หรือถ้ากรณีของ อ่า ที่คุณครูเพ็ญชาติบอกว่าอันเนี้ย เป็นกอหญ้า ครับ นะฮะ ก็คือใช้กอหญ้าเนี่ย เป็นตัวอ้างอิง ครับ ก็เหมือนกันก็คือ   1 ช่อง  2 ช่อง สามช่อง  4 ช่อง ก็คือมาทางทิศใต้ อ่า ก็คือ 4  สมมติว่าตอนนี้เราก หนดเป็นเมตรละกัน ก็เป็น 4 เมตร ครับ นะฮะ  4 เมตร แล้วก็ไปทางซ้าย คือทิศตะวันตกก็คือ   1 ช่อง  2 ช่องนะครับ ครับ นะฮะ ถ้าเป็นบ้าน นักเรียนก็ลองคิดดูว่าถ้าใช้บ้านเป็นตัว อ่า จุดอ้างอิงล่ะ นะฮะ แล้วจะระบุต แหน่งของตัวดวงดาวนี้ยังไงนะครับ นะครับ ทีนี้เราก็มาดูที่ตัวความรู้เก่าที่นักเรียนเคยเรียนมาแล้วตั้งแต่มัธยมศึกษาตอนต้น ครับ ปริมาณทางฟิสิกส์เราเนี้ยฮะ จะมีปริมาณอยู่ 2 ชนิด ครับ อันแรกก็คือโชว์แล้วคือเวกเตอร์ ครับ เวกเตอร์เนี่ย เวลาเรา น เสนอ ๆ ทราบ ก็คือต้องบอกทั้งขนาดและทิศทาง นะครับ ขนาดของเวกเตอร์ก็คือความยาวของ เส้นตรงนะครับ และทิศทางก็คือตัวหัวลูกศรนะฮะ ครับ อย่างกรณีเนี้ย ความยาวของลูกศรเนี้ย สมมติว่าเป็นสิบเมตร เราก็บอกว่ามันคือสิบเมตร ครับ มีขนาดเท่ากับสิบเมตรนะครับ แล้วมุมนะครับ มุมตรงนี้ สมมติว่าเป็น 4 สิบห้าองศา นะครับ เราก็บอกว่าเป็น 4 สิบห้าองศากับแกนเอ็กซ์บวก ครับ นะครับ  4 สิบห้าองศาแกนเอ็กซ์บวกนะครับ ก็คือเป็นการบอกขนาด แล้วก็บอก ทิศทิศทางด้วย อันนี้คือบอกมิเตอร์นะครับ นะครับ ถ้ามันไม่ใช่เวกเตอร์แล้วมันเป็นอะไรครับ อ่า สเกลล่า เป็นสเกลล่านะฮะ นักเรียนคงยังจ ได้อยู่นะครับ ครับ ก็คือเป็นสเกลล่า สเกลล่านี่คือเวลาเราบอกเนี่ย เราบอกเฉพาะขนาดอย่างเดียว อย่างเช่นเวลานะครับ เวลาก็คือเราบอกว่าสิบวินาที  1 ชั่วโมงอะไรอย่างเงี้ยนะครับ นะฮะ ต่อไปนะครับ นะฮะ เรื่องต่อไปก็คือการเคลื่อนที่ ซึ่งนักเรียนก็เรียนมาแล้วเหมือนกัน ครับ นะครับ การเคลื่อนที่ก็จะมี 2 แนวก็คือ การเคลื่อนที่ในแนวระดับ ครับ กับการเคลื่อนที่ในแนวดิ่งนะครับ นักเรียนต้องไปทบทวนดูนะ ว่ามีปริมาณต่างต่างที่เข้ามาเกี่ยวข้องเนี้ยนะครับ อะไรบ้างในตอนที่เราเรียนในมัธยมศึกษาตอนต้นเพื่อที่จะกลับมาพูดต่อนะครับ ครับ เรื่องต่อไปที่เกี่ยวข้องกับต แหน่งก็คือ ต แหน่ง ครับ นะฮะ หรือเราเรียก นะครับ เนี้ย แน่นอนมาคู่กับสิ่งที่เราต้องใช้ก็คือจุดอ้างอิง ครับ นะครับ จุดอ้างอิง ตอนนี้ในภาพนี้ก็คือเราจะมีคนยืนอยู่นะครับ ครับ นะฮะ อันนี้คือต แหน่งของคนก็คือจุดนี้ นะครับ ครับ ต แหน่งของรถก็คืออยู่ที่จุดนี้นะครับ ครับ แล้วก็มีเสาไฟฟ้า 2 ต้นนะครับ ครับ ต้นที่  1 กับต้นที่ 2 นะครับ เรามาดูว่าแล้วเรื่องราวที่เราสนใจคืออะไรนะครับ ตอนนี้เสาไฟฟ้าต้นที่  1 นะครับ อยู่ที่ต แหน่ง x เท่ากับศูนย์ ครับ นะครับ x เท่ากับศูนย์ แล้วจุดนะครับ จุดที่จะบอกจุดก เนิดตัวนี้ก็คือที่ x เท่ากับศูนย์นะครับ แล้วเสร็จแล้วเนี้ย เราก็จะมี ก็คือตัว x นะฮะ x มีค่าเท่ากับศูนย์เป็น เอ่อ สัญลักษณ์เวคเตอร์นะครับ สัญลักษณ์เวคเตอร์ก็คือเราจะต้องเขียน เอ็กซ์แล้วก็มีลูกศรอยู่ข้างบนนะครับ เอ็กซ์เท่ากับศูนย์อันนี้คือจุดก เนิดนะครับ ต่อไปครับ แนบ ถ้าเราจะระบุต แหน่ง ระบุต แหน่งของตัวรถนะฮะ ก็คือเราก็ใช้จุดอ้างอิงก็คือตัวเสาไฟฟ้าต้นที่  1 นะครับ ก็คือ เท่ากับศูนย์ แล้วก็ไปยังตัวต แหน่งที่ลดอยู่นะครับ ก็คือ นะฮะ เท่ากับศูนย์ไปถึง 4  ครับ นะครับ อันนี้คือเป็นการระบุต แหน่ง ก็คือเป็น ต แหน่งนะครับ ก็จะเห็นว่า ต แหน่งอันนี้ก็คือ มีขนาดเท่ากับ 4 นะครับ ครับ มีขนาดเท่ากับ 4  แล้วก็บวกเป็นการบอก ทางว่าไปทางขวา ขวา นะครับ นะ ส หรับคนนะฮะ จุดที่ต แหน่งคนยืนอยู่นี่คือ กลายเป็นต แหน่งที่เอ็กซ์เท่ากับลบ 2  เพราะฉะนั้น เวคเตอร์ต แหน่งก็คือเอ็กซ์มีค่าเท่ากับลบ 2  นะ เอ็กซ์มีค่าเท่ากับลบ 2 นะครับ แล้วก็เครื่องหมายลบก็คือเป็นการบอกว่าทิศทางไปทางซ้าย นะครับ นะ อันนี้คือเวคเตอร์ต แหน่งนะครับ ทีนี้ค ถามต่อมาก็คือ แล้ว ถ้าสมมติว่าหมุดที่ปักอยู่เนี่ย เป็นเอ็กซ์เท่ากับ บวก  1  นะครับ เอ็กซ์เท่ากับบวก  1  อันนี้คือปักหมุดไว้นะครับ เปลี่ยนจุดอ้างอิง อ่า จากศูนย์เมื่อกี้ อ่า นะครับ ต่อมานะครับ ถ้าสมมุติว่า เมื่อกี้เราบอกถึงต แหน่งไปและ แล้วมันมีปริมาณอะไรที่เกี่ยวข้องกับต แหน่งในชีวิตประจ วันนะครับ อันนี้คือสิ่งที่เราตั้งค ถามกับตัวเองก่อนนะครับ ครับ ตอนที่มาดูค ถามก็คือค ถามนี้อยู่ในหนังสือนะครับ หนังสือที่เราน เสนอไปตั้งแต่ครั้งที่แล้วนะฮะ เราถึงใช้ค ถามว่า ค ถามตรวจสอบความเข้าใจจากการที่เรียนมาแล้ว ครับ นะครับ นะฮะ ค ถามนี้ก็คือ เขาบอกว่า ถ้าใช้เสาไฟฟ้าต้นที่ 2 เป็นต แหน่งอ้างอิง ครับ นะครับ ต้นที่ 2 เป็น อ้างอิงก็คือเอ็กซ์เท่ากับศูนย์เนี่ย ครับ เนี่ย เปลี่ยนต แหน่งไปบ้าง นะครับ แล้วนะครับ ต แหน่งที่ อ่า เราจะอ้างอิงเนี่ยฮะ ก็คือพอเปลี่ยนตัวระบุ นะฮะ ก็คือตัวอ้างอิงไปเนี่ย ก็คือตัวคนเนี่ยฮะ มันจะมีค่าเท่ากับเอ็กซ์เท่ากับลบหก ครับ นะครับ อันนี้คือจากค ถามที่ถามไว้ว่า แล้วต แหน่งของคนจะเปลี่ยนแปลงยังไงนะครับ ครับ นะฮะ เขาบอกว่าจากรูปถ้าใช้คนเป็นต แหน่งอ้างอิงบ้างนะครับ จงระบุต แหน่งของรถยนต์นะครับ อันนี้คือค ถาม เพราะฉะนั้นพอใช้คนเป็น จุดอ้างอิงก็คือเอกซ์เท่ากับศูนย์ที่นี่ ครับ นะครับ รถก็จะกลายเป็น เท่ากับบวกหก ครับ นะครับ และนี่ก็คือเป็นการระบุต แหน่งของรถ เมื่อจุดอ้างอิงเปลี่ยน ครับ นะครับ เพราะฉะนั้นฝากนักเรียนไปทบทวนนะครับ ในหัวข้อนี้ก็คือ ตัวพระเอกก็คือค ว่าต แหน่งนะฮะ ครับ แล้วก็มี ต แหน่งนะครับ แล้วก็มีจุดอ้างอิงนะครับ ครับ ก็ฝากไปทบทวนเพื่อที่จะสานต่อในเนื้อหาคราวหน้าครับ\r\n","Candidate":3,"Ordering":true,"Spacing":true,"SpacingFile":null,"WordToNumber":true,"EnWord":true,"ThWord":true,"Transliteration":true,"TransliterationMatchingCase":"insensitive","TransliterationFile":null,"Reduplication":true,"Corrector":true,"Register":true,"RegisterFile":null},"time":"2024-05-17T15:28:49+07:00","caller":"/go/src/app/internal/handler/text_improver.go:95"}
{"level":"info","ordering":"[เสียงดนตรี] (อาจารย์ราม) สวัสดีครับนักเรียน ขอต้อนรับเข้าสู่ห้องเรียนวิทยาศาสตร์ของ สสวท. นะครับ ผมครูราม ติวารี ครับ (อาจารย์เพลงชาติ) ครูเพลงชาติ พรหมมาพันธุ์ ครับ (อาจารย์ราม) มาพบกันในฟิสิกส์นะครับ มัธยมศึกษาปีที่ 4  เล่ม  1 เหมือนเดิมนะครับ บทที่ 2 นะครับ บทที่ 2 ก็คือการเคลื่อนที่ในแนวตรงนะครับ ในหัวข้อแรกก็คือ 2 จุด  1 นะครับ  2 จุด  1 เรามาดูซิครับว่าจุดประสงค์ของการเรียนรู้วันนี้คืออะไรนะครับ ในบทที่ 2 นะครับ เรามาดูที่ เลยครับ น ก็คือจุดประสงค์การเรียนรู้ของหัวข้อแรกนะครับก็คือ 2 จุด  1 เนี้ยชื่อหัวข้อก็คือต แหน่งนะครับต แหน่งหรือ นะครับ จุดประสงค์ก็คืออธิบายการระบุต แหน่งของวัตถุนะครับ ต แหน่งต แหน่งนี้ส คัญมากนะครับ อย่างตอนนี้นะฮะ เรานั่งอยู่ในต แหน่ง  1 ของ สสวท นะฮะ ใช่ครับ เราก ลัง อ่า อยู่ในห้องเรียนวิทยาศาสตร์นะฮะ นั่งอยู่ที่โต๊ะนี้ ครับ นะฮะ ถ้าเราบอกว่าอยู่ที่ ให้คนอื่นเขาสื่อสารรู้เรื่องก็คือต้องมีอ้างอิงต้องมีการบอกว่าห่างจากอะไรอยู่ตรงไหนอะไรยังไงใช่ไหมครับน่ะนี่คือต แหน่งนะครับ เรามาดูครับว่าเรื่องราวของต แหน่งนี้เป็นยังไงนะครับ ก็คือเรามีแผนที่น่ะเริ่มต้นจากตัวแผนที่นี้ก่อนนะครับ ครับ อยากให้นักเรียนดูแผนที่นะฮะแล้วเนี้ยลอง นะฮะ เป็นรูปดวงดาวขึ้นไปในช่องใดช่องนึงในนี้นะคับ แล้วดูสิว่าสิ่งที่เราจะพูดต่อเนี้ยตรงกับที่นักเรียน ตาไว้มั้ยนะครับ นะฮะ โอเคครับ ก็จะตรงไม่ตรงยังไงก็แล้วแต่ ก็คือเรามีดวงดาวเกิดขึ้นที่นี่นะครับ ครับ นะฮะ ดวงดาวเกิดขึ้นที่นี่ แล้วเรามีแผ่นภาพอยู่ก็คือมีภูเขา ครับ นะครับ อันนี้คืออะไรครับ คุณครูเพ็ญชาติครับ บ้านครับ บ้าน นะครับ และนี่อะไรครับ อันนี้ผมยังยืนยันค นึง กอหญ้าครับ ก็คืออันนี้กอหญ้านะครับ ก็คือเป็นสวนนะฮะ เป็นสวนอันสวยงามของเรานะครับ เนี่ย ทีนี้ ถ้าเราจะพูดต แหน่งของตัวดวงดาวอันเนี้ยครับ นะฮะ ต แหน่งของดวงดาวว่าอยู่ที่ต แหน่งไหน ก่อนอื่นต้องตกลงก่อนว่าแล้วจุดอ้างอิงหรือ อ่า ตัวอ้างอิงของเราเนี้ยมันคืออะไร ครับ นะฮะ จุดอ้างอิงถ้าสมมุติว่าเป็นตัวภูเขาคือที่นี่นะครับ เราก็จะบอกว่าต แหน่งของดวงดาว ต แหน่งของดวงดาวก็คือไปทางทิศตะวันออกหรือทางขวาก็คือ  1 ช่องใช่ไหมครับ  2  สาม  4  ครับ ก็คือไปทางทิศตะวันออก 4 ช่อง ครับ สมมติว่าแต่ละช่องเนี่ย เท่ากับ   1 กิโลละกัน ครับ นะฮะ   1 กิโลเมตรนะครับ ก็คือ 4 ช่องก็คือ 4 กิโลเมตร ครับ นะครับ เพราะฉะนั้น การหาต แหน่งของดวงดาวนี้คือไปทางทิศตะวันออก 4 กิโลเมตร ครับ แล้วหลังจากนั้นก็คือ มาอีก  1 กิโล แล้วก็เจอดวงดาวของเราคือ 2 กิโล ครับ นะครับ ก็คือไปทางทิศใต้ ครับ นะฮะ โดย โดยทั่วไปก็คือเราก หนดทิศคืออย่างงี้นะครับ ก็คืออันนี้คือ ขึ้นข้างบน สมมติว่าเราก หนดให้เป็น เหนือนะครับ แล้วก็ไปทางขวาก็คือ ทิศตะวันออก แน่นอนลงมาทางใต้นะครับ แล้วก็ไปทางซ้ายเนี่ยคือ ทิศตะวันตกนะครับ อันนี้คือเวลาเราพูดทิศ หรือจะไปอ้างอิงกับตัวแกนเอ็กซ์บวกก็ได้ ครับ แกนเอ็กซ์บวกนะครับ นะฮะ แล้วก็แกนเอ็กซ์ลบนะครับ ก็ได้นะครับ ก็อันนี้คือการระบุต แหน่งของดวงดาว ครับ นะครับ ดวงดาวในแผนที่นี้ นักเรียนก็ลอง ท กิจกรรมนี้กับเพื่อน ๆ นะฮะ หรือตอนนี้อยู่บ้านเรียนออนไลน์ก็คือ ลองท กิจกรรมนี้กับ อ่า ผู้ปกครองก็ได้นะครับ ครับ นะฮะ เรามาดูต่อครับ นะฮะ ก็คือ ตัวเนี้ยคือเป็นการระบุต แหน่งของตัว อ่า ดวงดาวอันนี้ก็คือวัดจากตัวภูเขานะฮะ หรือถ้ากรณีของ อ่า ที่คุณครูเพ็ญชาติบอกว่าอันเนี้ย เป็นกอหญ้า ครับ นะฮะ ก็คือใช้กอหญ้าเนี่ย เป็นตัวอ้างอิง ครับ ก็เหมือนกันก็คือ   1 ช่อง  2 ช่อง สามช่อง  4 ช่อง ก็คือมาทางทิศใต้ อ่า ก็คือ 4  สมมติว่าตอนนี้เราก หนดเป็นเมตรละกัน ก็เป็น 4 เมตร ครับ นะฮะ  4 เมตร แล้วก็ไปทางซ้าย คือทิศตะวันตกก็คือ   1 ช่อง  2 ช่องนะครับ ครับ นะฮะ ถ้าเป็นบ้าน นักเรียนก็ลองคิดดูว่าถ้าใช้บ้านเป็นตัว อ่า จุดอ้างอิงล่ะ นะฮะ แล้วจะระบุต แหน่งของตัวดวงดาวนี้ยังไงนะครับ นะครับ ทีนี้เราก็มาดูที่ตัวความรู้เก่าที่นักเรียนเคยเรียนมาแล้วตั้งแต่มัธยมศึกษาตอนต้น ครับ ปริมาณทางฟิสิกส์เราเนี้ยฮะ จะมีปริมาณอยู่ 2 ชนิด ครับ อันแรกก็คือโชว์แล้วคือเวกเตอร์ ครับ เวกเตอร์เนี่ย เวลาเรา น เสนอ ๆ ทราบ ก็คือต้องบอกทั้งขนาดและทิศทาง นะครับ ขนาดของเวกเตอร์ก็คือความยาวของ เส้นตรงนะครับ และทิศทางก็คือตัวหัวลูกศรนะฮะ ครับ อย่างกรณีเนี้ย ความยาวของลูกศรเนี้ย สมมติว่าเป็นสิบเมตร เราก็บอกว่ามันคือสิบเมตร ครับ มีขนาดเท่ากับสิบเมตรนะครับ แล้วมุมนะครับ มุมตรงนี้ สมมติว่าเป็น 4 สิบห้าองศา นะครับ เราก็บอกว่าเป็น 4 สิบห้าองศากับแกนเอ็กซ์บวก ครับ นะครับ  4 สิบห้าองศาแกนเอ็กซ์บวกนะครับ ก็คือเป็นการบอกขนาด แล้วก็บอก ทิศทิศทางด้วย อันนี้คือบอกมิเตอร์นะครับ นะครับ ถ้ามันไม่ใช่เวกเตอร์แล้วมันเป็นอะไรครับ อ่า สเกลล่า เป็นสเกลล่านะฮะ นักเรียนคงยังจ ได้อยู่นะครับ ครับ ก็คือเป็นสเกลล่า สเกลล่านี่คือเวลาเราบอกเนี่ย เราบอกเฉพาะขนาดอย่างเดียว อย่างเช่นเวลานะครับ เวลาก็คือเราบอกว่าสิบวินาที  1 ชั่วโมงอะไรอย่างเงี้ยนะครับ นะฮะ ต่อไปนะครับ นะฮะ เรื่องต่อไปก็คือการเคลื่อนที่ ซึ่งนักเรียนก็เรียนมาแล้วเหมือนกัน ครับ นะครับ การเคลื่อนที่ก็จะมี 2 แนวก็คือ การเคลื่อนที่ในแนวระดับ ครับ กับการเคลื่อนที่ในแนวดิ่งนะครับ นักเรียนต้องไปทบทวนดูนะ ว่ามีปริมาณต่างต่างที่เข้ามาเกี่ยวข้องเนี้ยนะครับ อะไรบ้างในตอนที่เราเรียนในมัธยมศึกษาตอนต้นเพื่อที่จะกลับมาพูดต่อนะครับ ครับ เรื่องต่อไปที่เกี่ยวข้องกับต แหน่งก็คือ ต แหน่ง ครับ นะฮะ หรือเราเรียก นะครับ เนี้ย แน่นอนมาคู่กับสิ่งที่เราต้องใช้ก็คือจุดอ้างอิง ครับ นะครับ จุดอ้างอิง ตอนนี้ในภาพนี้ก็คือเราจะมีคนยืนอยู่นะครับ ครับ นะฮะ อันนี้คือต แหน่งของคนก็คือจุดนี้ นะครับ ครับ ต แหน่งของรถก็คืออยู่ที่จุดนี้นะครับ ครับ แล้วก็มีเสาไฟฟ้า 2 ต้นนะครับ ครับ ต้นที่  1 กับต้นที่ 2 นะครับ เรามาดูว่าแล้วเรื่องราวที่เราสนใจคืออะไรนะครับ ตอนนี้เสาไฟฟ้าต้นที่  1 นะครับ อยู่ที่ต แหน่ง x เท่ากับศูนย์ ครับ นะครับ x เท่ากับศูนย์ แล้วจุดนะครับ จุดที่จะบอกจุดก เนิดตัวนี้ก็คือที่ x เท่ากับศูนย์นะครับ แล้วเสร็จแล้วเนี้ย เราก็จะมี ก็คือตัว x นะฮะ x มีค่าเท่ากับศูนย์เป็น เอ่อ สัญลักษณ์เวคเตอร์นะครับ สัญลักษณ์เวคเตอร์ก็คือเราจะต้องเขียน เอ็กซ์แล้วก็มีลูกศรอยู่ข้างบนนะครับ เอ็กซ์เท่ากับศูนย์อันนี้คือจุดก เนิดนะครับ ต่อไปครับ แนบ ถ้าเราจะระบุต แหน่ง ระบุต แหน่งของตัวรถนะฮะ ก็คือเราก็ใช้จุดอ้างอิงก็คือตัวเสาไฟฟ้าต้นที่  1 นะครับ ก็คือ เท่ากับศูนย์ แล้วก็ไปยังตัวต แหน่งที่ลดอยู่นะครับ ก็คือ นะฮะ เท่ากับศูนย์ไปถึง 4  ครับ นะครับ อันนี้คือเป็นการระบุต แหน่ง ก็คือเป็น ต แหน่งนะครับ ก็จะเห็นว่า ต แหน่งอันนี้ก็คือ มีขนาดเท่ากับ 4 นะครับ ครับ มีขนาดเท่ากับ 4  แล้วก็บวกเป็นการบอก ทางว่าไปทางขวา ขวา นะครับ นะ ส หรับคนนะฮะ จุดที่ต แหน่งคนยืนอยู่นี่คือ กลายเป็นต แหน่งที่เอ็กซ์เท่ากับลบ 2  เพราะฉะนั้น เวคเตอร์ต แหน่งก็คือเอ็กซ์มีค่าเท่ากับลบ 2  นะ เอ็กซ์มีค่าเท่ากับลบ 2 นะครับ แล้วก็เครื่องหมายลบก็คือเป็นการบอกว่าทิศทางไปทางซ้าย นะครับ นะ อันนี้คือเวคเตอร์ต แหน่งนะครับ ทีนี้ค ถามต่อมาก็คือ แล้ว ถ้าสมมติว่าหมุดที่ปักอยู่เนี่ย เป็นเอ็กซ์เท่ากับ บวก  1  นะครับ เอ็กซ์เท่ากับบวก  1  อันนี้คือปักหมุดไว้นะครับ เปลี่ยนจุดอ้างอิง อ่า จากศูนย์เมื่อกี้ อ่า นะครับ ต่อมานะครับ ถ้าสมมุติว่า เมื่อกี้เราบอกถึงต แหน่งไปและ แล้วมันมีปริมาณอะไรที่เกี่ยวข้องกับต แหน่งในชีวิตประจ วันนะครับ อันนี้คือสิ่งที่เราตั้งค ถามกับตัวเองก่อนนะครับ ครับ ตอนที่มาดูค ถามก็คือค ถามนี้อยู่ในหนังสือนะครับ หนังสือที่เราน เสนอไปตั้งแต่ครั้งที่แล้วนะฮะ เราถึงใช้ค ถามว่า ค ถามตรวจสอบความเข้าใจจากการที่เรียนมาแล้ว ครับ นะครับ นะฮะ ค ถามนี้ก็คือ เขาบอกว่า ถ้าใช้เสาไฟฟ้าต้นที่ 2 เป็นต แหน่งอ้างอิง ครับ นะครับ ต้นที่ 2 เป็น อ้างอิงก็คือเอ็กซ์เท่ากับศูนย์เนี่ย ครับ เนี่ย เปลี่ยนต แหน่งไปบ้าง นะครับ แล้วนะครับ ต แหน่งที่ อ่า เราจะอ้างอิงเนี่ยฮะ ก็คือพอเปลี่ยนตัวระบุ นะฮะ ก็คือตัวอ้างอิงไปเนี่ย ก็คือตัวคนเนี่ยฮะ มันจะมีค่าเท่ากับเอ็กซ์เท่ากับลบหก ครับ นะครับ อันนี้คือจากค ถามที่ถามไว้ว่า แล้วต แหน่งของคนจะเปลี่ยนแปลงยังไงนะครับ ครับ นะฮะ เขาบอกว่าจากรูปถ้าใช้คนเป็นต แหน่งอ้างอิงบ้างนะครับ จงระบุต แหน่งของรถยนต์นะครับ อันนี้คือค ถาม เพราะฉะนั้นพอใช้คนเป็น จุดอ้างอิงก็คือเอกซ์เท่ากับศูนย์ที่นี่ ครับ นะครับ รถก็จะกลายเป็น เท่ากับบวกหก ครับ นะครับ และนี่ก็คือเป็นการระบุต แหน่งของรถ เมื่อจุดอ้างอิงเปลี่ยน ครับ นะครับ เพราะฉะนั้นฝากนักเรียนไปทบทวนนะครับ ในหัวข้อนี้ก็คือ ตัวพระเอกก็คือค ว่าต แหน่งนะฮะ ครับ แล้วก็มี ต แหน่งนะครับ แล้วก็มีจุดอ้างอิงนะครับ ครับ ก็ฝากไปทบทวนเพื่อที่จะสานต่อในเนื้อหาคราวหน้าครับ\r\n","time":"2024-05-17T15:28:49+07:00","caller":"/go/src/app/internal/handler/text_improver.go:95"}
{"level":"info","spacing":"[เสียงดนตรี] (อาจารย์ราม) สวัสดีครับ นักเรียน ขอต้อนรับเข้าสู่ห้องเรียนวิทยาศาสตร์ของ สสวท. นะครับ ผมครูราม ติวารี ครับ (อาจารย์เพลงชาติ) ครูเพลงชาติ พรหมมาพันธุ์ ครับ (อาจารย์ราม) มาพบกันในฟิสิกส์นะครับ มัธยมศึกษาปีที่ 4  เล่ม  1 เหมือนเดิมนะครับ บทที่ 2 นะครับ บทที่ 2 ก็คือการเคลื่อนที่ในแนวตรงนะครับ ในหัวข้อแรกก็คือ 2 จุด  1 นะครับ  2 จุด  1 เรามาดูซิครับ ว่าจุดประสงค์ของการเรียนรู้วันนี้คืออะไร นะครับ ในบทที่ 2 นะครับ เรามาดูที่ เลยครับ น ก็คือจุดประสงค์การเรียนรู้ของหัวข้อแรกนะครับ ก็คือ 2 จุด  1 เนี้ยชื่อหัวข้อก็คือต แหน่งนะครับ ต แหน่งหรือ นะครับ จุดประสงค์ก็คืออธิบายการระบุต แหน่งของวัตถุนะครับ ต แหน่งต แหน่งนี้ส คัญมากนะครับ อย่างตอนนี้นะฮะ เรานั่งอยู่ในต แหน่ง  1 ของ สสวท นะฮะ ใช่ครับ เราก ลัง อ่า อยู่ในห้องเรียนวิทยาศาสตร์นะฮะ นั่งอยู่ที่โต๊ะนี้ ครับ นะฮะ ถ้าเราบอกว่าอยู่ที่ ให้คนอื่นเขาสื่อสารรู้เรื่องก็คือต้องมีอ้างอิงต้องมีการบอกว่าห่างจากอะไรอยู่ตรงไหนอะไรยังไงใช่ไหมครับ น่ะนี่คือต แหน่งนะครับ เรามาดูครับ ว่าเรื่องราวของต แหน่งนี้เป็นยังไงนะครับ ก็คือเรามีแผนที่น่ะเริ่มต้นจากตัวแผนที่นี้ก่อนนะครับ ครับ อยากให้นักเรียนดูแผนที่นะฮะแล้วเนี้ยลอง นะฮะ เป็นรูปดวงดาวขึ้นไปในช่องใดช่องนึงในนี้นะคับ แล้วดูสิว่าสิ่งที่เราจะพูดต่อเนี้ยตรงกับที่นักเรียน ตาไว้มั้ยนะครับ นะฮะ โอเคครับ ก็จะตรงไม่ตรงยังไงก็แล้วแต่ ก็คือเรามีดวงดาวเกิดขึ้นที่นี่นะครับ ครับ นะฮะ ดวงดาวเกิดขึ้นที่นี่ แล้วเรามีแผ่นภาพอยู่ก็คือมีภูเขา ครับ นะครับ อันนี้คืออะไร ครับ คุณครูเพ็ญชาติครับ บ้านครับ บ้าน นะครับ และนี่อะไรครับ อันนี้ผมยังยืนยันค นึง กอหญ้าครับ ก็คืออันนี้กอหญ้านะครับ ก็คือเป็นสวนนะฮะ เป็นสวนอันสวยงามของเรานะครับ เนี่ย ทีนี้ ถ้าเราจะพูดต แหน่งของตัวดวงดาวอันเนี้ยครับ นะฮะ ต แหน่งของดวงดาวว่าอยู่ที่ต แหน่งไหน ก่อนอื่นต้องตกลงก่อนว่าแล้วจุดอ้างอิงหรือ อ่า ตัวอ้างอิงของเราเนี้ยมันคืออะไร ครับ นะฮะ จุดอ้างอิงถ้าสมมุติว่าเป็นตัวภูเขาคือที่นี่นะครับ เราก็จะบอกว่าต แหน่งของดวงดาว ต แหน่งของดวงดาวก็คือไปทางทิศตะวันออกหรือทางขวาก็คือ  1 ช่องใช่ไหมครับ  2  สาม  4  ครับ ก็คือไปทางทิศตะวันออก 4 ช่อง ครับ สมมติว่าแต่ละช่องเนี่ย เท่ากับ   1 กิโลละกัน ครับ นะฮะ   1 กิโลเมตรนะครับ ก็คือ 4 ช่องก็คือ 4 กิโลเมตร ครับ นะครับ เพราะฉะนั้น การหาต แหน่งของดวงดาวนี้คือไปทางทิศตะวันออก 4 กิโลเมตร ครับ แล้วหลังจากนั้นก็คือ มาอีก  1 กิโล แล้วก็เจอดวงดาวของเราคือ 2 กิโล ครับ นะครับ ก็คือไปทางทิศใต้ ครับ นะฮะ โดย โดยทั่วไปก็คือเราก หนดทิศคืออย่างงี้นะครับ ก็คืออันนี้คือ ขึ้นข้างบน สมมติว่าเราก หนดให้เป็น เหนือนะครับ แล้วก็ไปทางขวาก็คือ ทิศตะวันออก แน่นอนลงมาทางใต้นะครับ แล้วก็ไปทางซ้ายเนี่ยคือ ทิศตะวันตกนะครับ อันนี้คือเวลาเราพูดทิศ หรือจะไปอ้างอิงกับตัวแกนเอ็กซ์บวกก็ได้ ครับ แกนเอ็กซ์บวกนะครับ นะฮะ แล้วก็แกนเอ็กซ์ลบนะครับ ก็ได้นะครับ ก็อันนี้คือการระบุต แหน่งของดวงดาว ครับ นะครับ ดวงดาวในแผนที่นี้ นักเรียนก็ลอง ท กิจกรรมนี้กับเพื่อน ๆ นะฮะ หรือตอนนี้อยู่บ้านเรียนออนไลน์ก็คือ ลองท กิจกรรมนี้กับ อ่า ผู้ปกครองก็ได้นะครับ ครับ นะฮะ เรามาดูต่อครับ นะฮะ ก็คือ ตัวเนี้ยคือเป็นการระบุต แหน่งของตัว อ่า ดวงดาวอันนี้ก็คือวัดจากตัวภูเขานะฮะ หรือถ้ากรณีของ อ่า ที่คุณครูเพ็ญชาติบอกว่าอันเนี้ย เป็นกอหญ้า ครับ นะฮะ ก็คือใช้กอหญ้าเนี่ย เป็นตัวอ้างอิง ครับ ก็เหมือนกันก็คือ   1 ช่อง  2 ช่อง สามช่อง  4 ช่อง ก็คือมาทางทิศใต้ อ่า ก็คือ 4  สมมติว่าตอนนี้เราก หนดเป็นเมตรละกัน ก็เป็น 4 เมตร ครับ นะฮะ  4 เมตร แล้วก็ไปทางซ้าย คือทิศตะวันตกก็คือ   1 ช่อง  2 ช่องนะครับ ครับ นะฮะ ถ้าเป็นบ้าน นักเรียนก็ลองคิดดูว่าถ้าใช้บ้านเป็นตัว อ่า จุดอ้างอิงล่ะ นะฮะ แล้วจะระบุต แหน่งของตัวดวงดาวนี้ยังไงนะครับ นะครับ ทีนี้เราก็มาดูที่ตัวความรู้เก่าที่นักเรียนเคยเรียนมาแล้วตั้งแต่มัธยมศึกษาตอนต้น ครับ ปริมาณทางฟิสิกส์เราเนี้ยฮะ จะมีปริมาณอยู่ 2 ชนิด ครับ อันแรกก็คือโชว์แล้วคือเวกเตอร์ ครับ เวกเตอร์เนี่ย เวลาเรา น เสนอ ๆ ทราบ ก็คือต้องบอกทั้งขนาดและทิศทาง นะครับ ขนาดของเวกเตอร์ก็คือความยาวของ เส้นตรงนะครับ และทิศทางก็คือตัวหัวลูกศรนะฮะ ครับ อย่างกรณีเนี้ย ความยาวของลูกศรเนี้ย สมมติว่าเป็นสิบเมตร เราก็บอกว่ามันคือสิบเมตร ครับ มีขนาดเท่ากับสิบเมตรนะครับ แล้วมุมนะครับ มุมตรงนี้ สมมติว่าเป็น 4 สิบห้าองศา นะครับ เราก็บอกว่าเป็น 4 สิบห้าองศากับแกนเอ็กซ์บวก ครับ นะครับ  4 สิบห้าองศาแกนเอ็กซ์บวกนะครับ ก็คือเป็นการบอกขนาด แล้วก็บอก ทิศทิศทางด้วย อันนี้คือบอกมิเตอร์นะครับ นะครับ ถ้ามันไม่ใช่เวกเตอร์แล้วมันเป็นอะไรครับ อ่า สเกลล่า เป็นสเกลล่านะฮะ นักเรียนคงยังจ ได้อยู่นะครับ ครับ ก็คือเป็นสเกลล่า สเกลล่านี่คือเวลาเราบอกเนี่ย เราบอกเฉพาะขนาดอย่างเดียว อย่างเช่นเวลานะครับ เวลาก็คือเราบอกว่าสิบวินาที  1 ชั่วโมงอะไรอย่างเงี้ยนะครับ นะฮะ ต่อไปนะครับ นะฮะ เรื่องต่อไปก็คือการเคลื่อนที่ ซึ่งนักเรียนก็เรียนมาแล้วเหมือนกัน ครับ นะครับ การเคลื่อนที่ก็จะมี 2 แนวก็คือ การเคลื่อนที่ในแนวระดับ ครับ กับการเคลื่อนที่ในแนวดิ่งนะครับ นักเรียนต้องไปทบทวนดูนะ ว่ามีปริมาณต่างต่างที่เข้ามาเกี่ยวข้องเนี้ยนะครับ อะไรบ้าง ในตอนที่เราเรียนในมัธยมศึกษาตอนต้นเพื่อที่จะกลับมาพูดต่อนะครับ ครับ เรื่องต่อไปที่เกี่ยวข้องกับต แหน่งก็คือ ต แหน่ง ครับ นะฮะ หรือเราเรียก นะครับ เนี้ย แน่นอนมาคู่กับสิ่งที่เราต้องใช้ก็คือจุดอ้างอิง ครับ นะครับ จุดอ้างอิง ตอนนี้ในภาพนี้ก็คือเราจะมีคนยืนอยู่นะครับ ครับ นะฮะ อันนี้คือต แหน่งของคนก็คือจุดนี้ นะครับ ครับ ต แหน่งของรถก็คืออยู่ที่จุดนี้นะครับ ครับ แล้วก็มีเสาไฟฟ้า 2 ต้นนะครับ ครับ ต้นที่  1 กับต้นที่ 2 นะครับ เรามาดูว่าแล้วเรื่องราวที่เราสนใจคืออะไร นะครับ ตอนนี้เสาไฟฟ้าต้นที่  1 นะครับ อยู่ที่ต แหน่ง x เท่ากับศูนย์ ครับ นะครับ x เท่ากับศูนย์ แล้วจุดนะครับ จุดที่จะบอกจุดก เนิดตัวนี้ก็คือที่ x เท่ากับศูนย์นะครับ แล้วเสร็จแล้วเนี้ย เราก็จะมี ก็คือตัว x นะฮะ x มีค่าเท่ากับศูนย์เป็น เอ่อ สัญลักษณ์เวคเตอร์นะครับ สัญลักษณ์เวคเตอร์ก็คือเราจะต้องเขียน เอ็กซ์แล้วก็มีลูกศรอยู่ข้างบนนะครับ เอ็กซ์เท่ากับศูนย์อันนี้คือจุดก เนิดนะครับ ต่อไปครับ แนบ ถ้าเราจะระบุต แหน่ง ระบุต แหน่งของตัวรถนะฮะ ก็คือเราก็ใช้จุดอ้างอิงก็คือตัวเสาไฟฟ้าต้นที่  1 นะครับ ก็คือ เท่ากับศูนย์ แล้วก็ไปยังตัวต แหน่งที่ลดอยู่นะครับ ก็คือ นะฮะ เท่ากับศูนย์ไปถึง 4  ครับ นะครับ อันนี้คือเป็นการระบุต แหน่ง ก็คือเป็น ต แหน่งนะครับ ก็จะเห็นว่า ต แหน่งอันนี้ก็คือ มีขนาดเท่ากับ 4 นะครับ ครับ มีขนาดเท่ากับ 4  แล้วก็บวกเป็นการบอก ทางว่าไปทางขวา ขวา นะครับ นะ ส หรับคนนะฮะ จุดที่ต แหน่งคนยืนอยู่นี่คือ กลายเป็นต แหน่งที่เอ็กซ์เท่ากับลบ 2  เพราะฉะนั้น เวคเตอร์ต แหน่งก็คือเอ็กซ์มีค่าเท่ากับลบ 2  นะ เอ็กซ์มีค่าเท่ากับลบ 2 นะครับ แล้วก็เครื่องหมายลบก็คือเป็นการบอกว่าทิศทางไปทางซ้าย นะครับ นะ อันนี้คือเวคเตอร์ต แหน่งนะครับ ทีนี้ค ถามต่อมาก็คือ แล้ว ถ้าสมมติว่าหมุดที่ปักอยู่เนี่ย เป็นเอ็กซ์เท่ากับ บวก  1  นะครับ เอ็กซ์เท่ากับบวก  1  อันนี้คือปักหมุดไว้นะครับ เปลี่ยนจุดอ้างอิง อ่า จากศูนย์เมื่อกี้ อ่า นะครับ ต่อมานะครับ ถ้าสมมุติว่า เมื่อกี้เราบอกถึงต แหน่งไปและ แล้วมันมีปริมาณอะไรที่เกี่ยวข้องกับต แหน่งในชีวิตประจ วันนะครับ อันนี้คือสิ่งที่เราตั้งค ถามกับตัวเองก่อนนะครับ ครับ ตอนที่มาดูค ถามก็คือค ถามนี้อยู่ในหนังสือนะครับ หนังสือที่เราน เสนอไปตั้งแต่ครั้งที่แล้วนะฮะ เราถึงใช้ค ถามว่า ค ถามตรวจสอบความเข้าใจจากการที่เรียนมาแล้ว ครับ นะครับ นะฮะ ค ถามนี้ก็คือ เขาบอกว่า ถ้าใช้เสาไฟฟ้าต้นที่ 2 เป็นต แหน่งอ้างอิง ครับ นะครับ ต้นที่ 2 เป็น อ้างอิงก็คือเอ็กซ์เท่ากับศูนย์เนี่ย ครับ เนี่ย เปลี่ยนต แหน่งไปบ้าง นะครับ แล้วนะครับ ต แหน่งที่ อ่า เราจะอ้างอิงเนี่ยฮะ ก็คือพอเปลี่ยนตัวระบุ นะฮะ ก็คือตัวอ้างอิงไปเนี่ย ก็คือตัวคนเนี่ยฮะ มันจะมีค่าเท่ากับเอ็กซ์เท่ากับลบหก ครับ นะครับ อันนี้คือจากค ถามที่ถามไว้ว่า แล้วต 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