Тақырыбы: «Беттер (поверхность) тұрғызу. “Подбор параметра” командасын пайдаланып теңдеулерді шешу»
Мақсаты: MS Excel кестелік процессорының мүмкіндіктерін бет тұрғызуда және теңдеу шешуде пайдалана білуге үйрету.
Негізгі түсініктер:
Excel программасында кеңістікте орналасқан беттерді тұрғызу кестеда мәндері берілетін екі айнымалыға (мысалы, х, у ) тәуелді функцияның (мысалы, z) мәндерін есептеу формуласы арқылы орындалады.
Сондай-ақ, Excel программасында Сервис->Подбор параметра командасын пайдаланып теңдеулерді жуықтап шешу мүмкіндігі де қарастырылған. Жоғары математика курсынан белгілі теңдеудің түбірін жуықтап шешу әдісін қолданғанда әуелі түбір жатқан аралық анықталады. Мұндай аралықтар үшін олардың шеткі нүктелеріндегі функция мәндерінің таңбалары әртүрлі болуы шарт. Аралық анықталғаннан кейін сол аралықтағы түбірдің мәнін , Сервис->Подбор параметра командасын қолдана отырып белгілі бір дәлдікке дейін жуықтап табуға болады.
жаттығу. Бет ( поверхность) тұрғызу. Беттің формуласы:
Өз бумаңызда Лаб_Ex_10 деп аталатын жұмыс кітабын құрыңыз.
х-тің мәндерін 0,2 қадаммен А2 ұяшықтан бастап баған түрінде енгізіңіз;
у-тің мәндерін 0,2 қадаммен В1 ұяшықтан бастап жол түрінде енгізіңіз;
В2 ұяшыққа формула: =3*А2^2 – 2* SIN(B1)^2*B1^2 жазыңыз;
Формуланы жазып болғаннан кейін оны қалған ұяшықтарға көшіру кезінде адрестердің дұрыс өзгеруін бақылап көріңіз, қорытынды жасаңыз: х-тің мәндері барлық уақытта А бағанында болуы керек, сондықтан баған өзгеріп кетпес үшін оның алдына абсолют адрестің белгісі қойылады, яғни $А болады, ал у-тің мәндеріне сәйкес бірінші жолдың адресі $1 болып өзгереді.
Ендеше осыған сәйкес В2 ұяшықтағы формуланы: =3*$А2^2 – 2* SIN(B$1)^2*B$1^2 түрге келтіреміз /9-сурет/;
z –тің қалған мәндерін толтыру маркерін пайдалана отырып, шығарыңыз;
Ол үшін В2:В12 диапазонды белгілеп алып толтыру маркерін сәйкес тіктөртбұрышты обылыс толғанға дейін созасыз;.
9-сурет
Кестені х, у, z. мәндерімен қоса белгілеп алыңыз;
Диаграмма шеберін ( Мастер диаграмм) шақырыңыз, диаграмма типінен Поверхность (1-ші түрін ) таңдаңыз;
Диаграмманың параметрлерін өзгертіңіз;
Диаграмманы сол бетке орналастырыңыз, атын Поверхность деп өзгертіңіз.
жаттығу. “Подбор параметра” командасын пайдаланып х3-0,01х2-0,7044х+0,139104=0 теңдеуді шешіңіз.
Теңдеуді шешу үшін түбір жатқан аралықты анықтау керек, сондықтан у(х)= х3-0,01х2-0,7044х+0,139104 функциясыының мәндері табылады, қажет болса графигі де салынады.
А2:А12 диапазонға [-1;1] аралығын 0,2 қадаммен жазамыз /10-сурет/;
В2 ұяшыққа =А2^3-0.01*A2^2-0.7044*A2+0.139104 формуласы жазылады;
Функцияның қалған мәндерін толтыру маркерін пайдаланып шығарыңыз;
Функция таңбасы өзгеретін аралықтарды анықтаңыз: [-1;-0.8], [0.2;0.4], [0.6;0.8], бастапқы жуықтаулар ретінде бұл аралықтардың ортасы алынады;
Бастапқы жуықтаулардың мәндері сәйкесінше С2; С3; С4 ұяшықтарға жазылады;
D2 ұяшыққа =С2^3-0.01*С2^2-0.7044*С2+0.139104 формуласы жазылады да ол D3, D4 ұяшықтарына да көшіріледі;
D2 ұяшығы белгіленеді; .
Сервис->Подбор параметра командасын орындаңыз;
Пайда болған Подбор параметра терезесіндегі Установить в ячейке тұсында D2 тұрады;.
Осы терезедегі Значения тұсына 0 жазыңыз. Бұл теңдеудің оң жағын білдіреді ;
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) Изменяя значение ячейки тұсына С2 жазасыз. Бұл бірінші аралықтағы түбірдің жуық мәні шығатын ұяшық /10-сурет/.
10-сурет
ОК басылады;
Дәл осылай қалған екі түбірдің мәндері С3 және С4 ұяшықтарда шығарылады;
Теңдеудің түбірлерін графиктік әдіспен табуды өзіңіз орындаңыз.
Өздік жұмыс тапсырмалары:
(Тапсырманы орындауға қажетті мәліметтер нұсқалар бойынша төменде берілген
10-кестедан алынады)
х, у [-1;1] деп алып, Z= … бетті тұрғызыңыз /10-кесте, 1-тапсырма/.
... теңдеуініңбарлық түбірлерін табыңыз /10-кесте, 2-тапсырма /.
10-кесте
Нұсқа
№
|
1- тапсырма
|
2-тапсырма
|
1
|
Z=5x2cos2(y) –2y2ey
|
x3-2.56x2-1.3251x+4.395006=0
|
2
|
Z=2x2cos2(x) –2y2
|
x3+2.84x2-5.6064x-14.766336=0
|
3
|
Z=2e0.2xx2 –2y4
|
x3+0.85x2-0.4317x+0.043911=0
|
4
|
Z=x2 –2e0.2yy2
|
x3-0.12x2-1.4775x+0.191906=0
|
5
|
Z=3x2sin2(x) –5e2yy
|
x3+0.77x2-0.2513x+0.016995=0
|
Бақылау сұрақтары:
Беттің формуласын жазуда ұяшық адрестерінің қандай түрлері қолданылады?
Теңдеу шешуде қолданылатын Excel программасының командасы қалай аталады?
Подбор параметра командасы не үшін қолданылады?
Түбір жатқан аралықты қалай анықтайды?
Түбір жатқан аралыққа қандай шарт қойылады?
ЗЕРТХАНАЛЫҚ ЖҰМЫС №11
Достарыңызбен бөлісу: |