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«Решение олимпиадных задач по математике»
Побудова графіків функції з модулями.
Задачі на побудову графіків функцій з модулями часто пропонують на математичних олімпіадах для учнів. Ця стаття допоможе вчителеві ознайомити учнів з методами побудови таких графіків. Методичні рекомендації пропонуються у формі коментарів до побудови графіків.
Актуалізація опорних знань:
![](https://fsd.multiurok.ru/html/2019/02/09/s_5c5eba6b10cf5/1081582_1.png)
![](https://fsd.multiurok.ru/html/2019/02/09/s_5c5eba6b10cf5/1081582_2.png)
![](https://fsd.multiurok.ru/html/2019/02/09/s_5c5eba6b10cf5/1081582_3.png)
Задачі:
Побудувати графік функції.
![](https://fsd.multiurok.ru/html/2019/02/09/s_5c5eba6b10cf5/1081582_4.png)
Розв’язання.
Знаходимо область визначення функції: Д(у):![](https://fsd.multiurok.ru/html/2019/02/09/s_5c5eba6b10cf5/1081582_5.png)
![](https://fsd.multiurok.ru/html/2019/02/09/s_5c5eba6b10cf5/1081582_6.png)
За означенням модуля маємо:
![](https://fsd.multiurok.ru/html/2019/02/09/s_5c5eba6b10cf5/1081582_7.png)
рис.1
Виколюємо точку x=2, яка не входить до Д(у).
Відповідь: див. рис.1
Побудувати графік функції.
![](https://fsd.multiurok.ru/html/2019/02/09/s_5c5eba6b10cf5/1081582_9.png)
Розв’язання.
Д(у): ![](https://fsd.multiurok.ru/html/2019/02/09/s_5c5eba6b10cf5/1081582_6.png)
![](https://fsd.multiurok.ru/html/2019/02/09/s_5c5eba6b10cf5/1081582_11.png)
Знаходимо підмодульні корені, розв’язав рівняння
x-2=0 і x-3=0
x=2 і x=3
Наносимо підмодульні корені на числову пряму і отримаємо проміжки
- - + - + + x
2 3
З’ясовуємо знак кожного підмодульного виразу на кожному із отриманих проміжків.
Спрощуємо вираз в кожному отриманому проміжку:
1) ![](https://fsd.multiurok.ru/html/2019/02/09/s_5c5eba6b10cf5/1081582_16.png)
![](https://fsd.multiurok.ru/html/2019/02/09/s_5c5eba6b10cf5/1081582_17.png)
2) ![](https://fsd.multiurok.ru/html/2019/02/09/s_5c5eba6b10cf5/1081582_18.png)
![](https://fsd.multiurok.ru/html/2019/02/09/s_5c5eba6b10cf5/1081582_19.png)
3) ![](https://fsd.multiurok.ru/html/2019/02/09/s_5c5eba6b10cf5/1081582_20.png)
![](https://fsd.multiurok.ru/html/2019/02/09/s_5c5eba6b10cf5/1081582_21.png)
Наносимо підмодульні корені х=2 і х=3 на вісь Ох в системі координат. Прямі х=2 і х=3 проводимо штриховою лінією.
Будуємо отримані графіки на кожному із проміжків. Виколюємо на графіках точки х=2 і х=3.
Рис.2
Відповідь: Див. рис.2
Побудувати графік функції
![](https://fsd.multiurok.ru/html/2019/02/09/s_5c5eba6b10cf5/1081582_23.png)
Розв’язання.
Знаючи, що
, маємо
![](https://fsd.multiurok.ru/html/2019/02/09/s_5c5eba6b10cf5/1081582_25.png)
Графік має вигляд:
Рис.3
Відповідь: Див. рис.3
Побудувати графік функції.
+![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGsAAAAVCAIAAADO9YfqAAAEFklEQVR4nO1YWSh8URyWJbKmpChZnmTLliVRtuxLkjXLAx498SDKvmYpD0qjeCPmgYgHW3YS2YpkiQeUByPZUvy/TN2uO+fOuTN37tTU/3uY7r3nzPy+853z+36/O6Y/Pz9G/yECpkImNTQ0NDY2Sk3FsMCcPLqC39/fcrlcYj4GDLqCx8fH3t7eJycnemCjWzw+Pjo6Okrxy2zroyu4vb0dFhYmBQ+psbq6WlNT09bWJmkUQQpWVFRISkIiQMGkpCSpo9AV3N/fDwwMFBnG2NiYfQtv1fqnPj4+/P39z87OqDM3NjZaWlq0DsTG1NRUdXX1+fm56hBFwaenJ0tLS3Nzc/EkxKjGRn19PXElHDw/P2PbbGxsRIZ7fX2FDzg5OV1cXBAnUBTc2dkJCQkRSUKHWFtbw44Kmbm+vh4RESE+opWVVWtrKy4qKyuJEygKqpYRPElISMjLyxscHMTt5uZmdnb23d0dMwE7r6vjxsHb21tPT8/ExISQ5hQmGBkZKZy2kbbMCQp+fn4yabu1tVVaWsoehaCTk5MZGRm9vb3Yn5mZmeHhYSGRkAhoL9zd3bGlOTk5mhIFUFjr6urMzMyIo19fX5eXl56enspbnFY4l3jaVHAV7OjouL6+Vm4UcHNz4+bmxpkTHR3t4+MzNDR0dHRUWFgYExNDDXN4eOjq6ooE3NvbKykpQT+Vm5urEdGlpSWsPDg4mDh6e3vb399/cHCwsLCA2/f3dxxYBwcHkbSF4I+COHFpaWlZWVnKY3h6espsKQe1tbWZmZlwSaZMs6stc80kha+vr/IiNDQURwkvOYyCi4uL8fHxxCgmJiY4Wbh4eXnp6upCQeRbBvamu7s7Kirq6urKw8MDSUrsYVVpU5lT8UfB8PBwfCYmJk5PT8MmICiRB8rT2NgY2v2HhwfmIROS6ibOzs74BeY2NjaWSreqqgolWE1LoDxuZWVlMpmsvb2dY4JqaGvEnAiCDxYVFaGNgoJw34KCAs4o8hoUm5qaUKPhaMnJyZqGRMbBDTX6iuwX7CfE1cJeAwICmpubYYJQU7e0+UBQEF4DK0QnuLu729fXxx5Cdz03NzcwMIAFFBcXIx+Xl5fhL9QwMIeRkRF7e3t4UGdn5+joqEYsOWLxHRYLC4u4uDhYBE6Zi4uLeNpCQO5msJnYc8SDebOfp6amIrbSLOzs7PLz89PT09FeIPGZOcS1KRQKnDu8TuATCgYFBemEvSrKy8tTUlI46gihzcf8/v4ePRBKAq7hAF5eXuPj4+w/LMgKolQhHVTLJaeBUk0uPiCthEwTCDVu5efnB59FSWE/1Jq20W8TtrKyomYCWUF0MKieBvqXzPz8PNJZb+F430lmZ2d18jqsf9ja2uozHK+C1tbW+uRhuPgH3DQBfIXRBbsAAAAASUVORK5CYII=)
Розв’язання.
Після тотожних перетворень одержимо:
Д(у):![](data:image/png;base64,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)
![](data:image/png;base64,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)
За вказаною схемою в задачі 2 маємо:
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Немає рішень ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADoAAAASCAIAAACFJlokAAAB1ElEQVR4nOWWz6sBURTH5UdqLOyUf0EWmiRbJJKwsBgpf4IVC1GiUIql0lO2YkMpKyMpsbGwIdnYYC9Sind66qZ5907zzOglZ3XuPafT5577vWdGebvdZO9jyv8G+Jt9PG6n04nH46vV6ukK5/PZZDItl8vfISlxj8djPp/X6/Xr9VpMnXQ6TTqtlLgajSaXy4ETjUafLjIajSiKIkUxuJPJxOVyMQxTrVZhOR6Pg8HgdrtFCXK5/Hq9Pg3EY6fTqVQqtVqtTCYjFNdqtbbbbb/fXy6XoWHdbrder4uB6Pf7TqcTG1IoFJfLBS0TiUQqlVKpVKRSeDHYbDaj0Vir1ebzeTgcttvtYnAdDoeQ22BZFrpjNpt5cojaTSaTgUBgOp3SNH3fAQ2gKPKlUsXhcCgWizBV+NPwuPDGG42GTqfb7/doE5G9QruxWAwGglqt5k/D4G42m0KhkM1mLRYLvHSPxyMSRYh2v37sMYRtChd3Npv1er1KpQLZkUgEtD8YDEDKYnCFaJeTQLpALq7X6wW+uzS1Wm0oFPL5fDBZ3G43qTSy3W4H42+xWIAPQjIYDM1mExwBJxJqXNzH+SrD3RGPwfdsOBxKgkXqyMf/4rzU3gz3G2fHwmUitM4fAAAAAElFTkSuQmCC)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACYAAAASCAIAAAC4tDtCAAABsUlEQVR4nN2Uv6uBURjH/XhlMIhBCiUrk0FWJD96QzKQH5v8BySDUrIZFVcpGZSUQZmkKLFIRossEmUziLjf7rvoTfe8V9HNdzrP09P5nOd8n3Oo2+3Ge6+oN/M+BWk0Gler1fF4VCqVLperUCjI5fLXIqH5fK5SqQ6HQzabjcfj7Xb7tcjZbMYsFAoFWtRqtayCB8jJZOJwOILBYLlcRjgejwOBwGazeQJ/uVzUajUZaTabO52O1+stFosSiaTb7dZqNeT7/b7dbn+4tVAoPJ/P9xmEOCUuNpVKkZGQxWIxGAzVanWxWITDYavViqTNZrter9za44nFYj6fn0wmo9EoJySUyWR8Pt90OsUEcsTc63Q6LZdLzE6j0YhEImQkRrzZbML/7Xb7BA8SiUR6vR5d1ut1MnK9XmPScrmcyWTK5/Nut5vJ/8lLRrhbimIj2DFGvNfrlUolgUAQi8XS6fRgMIC1PM5e+v3+SqUik8l2u91wOKRpmoBEBRjgYS2VSkOhkMfjabVaTqeTCGO03+91Oh281Gg0iUQC5yYgWe/v60ccYYxGo9HvBR/xrf9H5Ddzr6yfz0UijwAAAABJRU5ErkJggg==)
![](https://fsd.multiurok.ru/html/2019/02/09/s_5c5eba6b10cf5/1081582_14.png)
![](https://fsd.multiurok.ru/html/2019/02/09/s_5c5eba6b10cf5/1081582_14.png)
+ - + + x
-1 3
1) ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEYAAAASCAIAAABpUz8yAAACjUlEQVR4nGP5//8/w/ACLAPtAOqDUS8hgY0bN5aWlt66dYuKriEGGBkZ3b9//+vXrxISEp6enu3t7UJCQsgKyPES0Li2tjZJSck7d+5QyZ2kgQsXLkhLS797966+vj41NXXt2rXIsuR4iZubu7W1FcjIy8sjqHjbtm2zZ89ev349GRZh1X7u3DkIQ0xMDBhFCgoKaFpolZf+/fu3cuXKZcuWOTs7L126FE32xIkT7u7uERERM2fOBHKPHTsWEhLy7NkzIrXDwZ8/f2RkZNAEqe+lnz9/LliwYPPmzcHBwcDQZWHBYoWFhcWGDRv8/f37+vqAcb5ly5b58+cTrx0Ifv/+DQwCYMIrLy9Hk6K+l6ytrbW0tICFBzMzMx5ljo6OOjo6c+bMuXTpUnR0tJOTE0na2dnZGRkZy8rKYmNj0aTQvbR3715XV1espgDtAIYNAQ+BU9HChQsDAwODgoJiYmJwBTMQVFdXBwQEnDx5EliIkaodGJnAwhZYNixZsgSoDJ+XgGkXmI4JuhsPYGNjA9qUnJy8evVqoLOABgK5XFxcaMqAxeaKFSuAWfzFixdkaGdlZdXW1gbG0qJFiwh4iVqAiYkpHAy2b98OTFdoJd7Dhw+BhVVTU5OZmRmw8PTy8iJJOxwA0x5mNNK89eAJBsgiwFIY6NBp06YB3R0XF1dZWbl//35g1iJSOzDqZs2aJSgo+OrVq0OHDvn4+KBpIcdLz58/B5a/169fZwBXDsDcvGrVKiADIgt0KKYW5MQMdATQDxBl/Pz8kZGRfn5+wGTm4eFBjPbXr18rKSkB85KsrGx6ejowUKjgJWC74eDBg7hkCWZF5PoHCGaDAfHaDx8+jF/BaLN1KIBh6CUA9Yg0NaU+pLgAAAAASUVORK5CYII=)
![](data:image/png;base64,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)
2) ![](https://fsd.multiurok.ru/html/2019/02/09/s_5c5eba6b10cf5/1081582_20.png)
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAANoAAAATCAIAAAB5mITwAAAElUlEQVR4nN2YSyh8URzH5++VCBvJTLFQSpIi5BHllWdI0khZiAWLKYuJSRTGIyMLyqMhspKREEnIW1iM10IJEwsUG+WxmPD/Nbdu18ydmXPPvfdczXdxO/fO+f3O+Zz7+/3uOePx8/MjIyKz2ezp6UlmLLHlSizoIkDtIap3puLj48/OzsTwTCyjaHl5eYnhljwIJxGgJhSOz8/Pfn5+ZMYSW8Ai9RQkEBlqQuG4s7OTmpq6u7tLZjhRBSwajaarq0vqiRAVGWpy4ZiXl0dmLLHlSizoIkNNKBz39/e1Wq1Q3hYWFtRq9dXVFboJ7FxNJtPb25tCoSgtLW1ra/P19cUbXUAWDBBaPIm4mpOhJhGOr6+vbm5uguwd39/f4Xshl8uvr685GX59fRmNRlj6l5eXlpYWlUo1Pj6OMQGhWLBBaPEk4mROjJpEOO7t7aWkpAjiCjK4s7MTGrB8nAxh6alGcHCwTqcLDw/Hm4BQLNggtHgScTInRs0SjsXFxScnJ/f399StwWCoqamB/MCeBHWOYT45PDzMyclRKpWjo6Nwe3BwUFZW9vDwwOwD6fj9/c11LBSrfxZhGMpsWMQD4SRWIgHNiVGzhCN82sPCwm5vb+EKt7m5uZGRkdRPGxsb2dnZrI7c3d3NZjPVhsbNzU1ERAR1Cwdq2CswOycmJs7Pz0Pc9/f3Q8YsLS1NTExwnTq2Li8vk5KSEDs7ZpEWhBaTCPEd2TOnJBU1+8c6MzNza2uLCkfIjPr6evq505CHsjowMHB6erq+vg63n5+fHx8fgYGBVt3S09OjoqLGxsbOz88rKyszMjL4oiALNkmNjY0oPVFYJAShxSRCeUcOzGWSUtsNx5WVlerqamgvLy8PDg6ie/Tx8enr60tLS6PqK1RySCbWns3NzSUlJUdHR7GxsfRDKPK2bafri261uLgYGhqanJyMYojIIiAIRm2zIuIqW3Py1LTYwxGCvampSWap0jAVWAhEdyAqjWC7qdfru7u7bTeOlOCQNT09HRQU9PT0xHxOT53T5gPRCtIdduW9vb2IhigswoJwrW22RJzEak6emhZ7OMIw/v7+JpNpampqZGSEfo6eu+Xl5TExMR0dHRDQAGbV+e7uDjjb29sTEhLgqJWfn8913hiam5s7Pj7GeHMOWCQBocVKhP6OHC+IJNR2/+iBNG1tbYUrszSi5663t3dWVtbs7CxkT0hICPMno9EIO4GhoSFIoKqqKo1Gs7m5CXsRbAYUwRkQFrGnpwfD1h6LJCC07BEhviOnCyIJtaNwbGhomJycxHZdW1tbUFBgO9HCwkIAoDYWAQEBFRUVRUVFBoMBjvDMbqxr+vj4qFQq4SQos5RwOPLPzMxAw7EVqK6uDq7M1bfq6fgVsrKICuJUTon4m5OnZg9H8AWVfHh4mNOu0UrR0dEKhQJ2xFbPrf6g0luE6FMul29vb2NMhuc/f6wskoDQ4kmEYk6e+lc4qtVqrVZ7cXEBhyaow1CrEYexp7W1Naj5PJ38EbkSC7oIU/8KR51OB9e4uLjV1VVBvMN5SBA/f0GuxIIuwtT/AaXg01vNFxVnAAAAAElFTkSuQmCC)
Маємо графік:
рис.4
Відповідь: Див.рис.4
Побудувати графік функції.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAEkAAAAmCAIAAAAHsyEEAAACs0lEQVR4nO2YTYhpYRjHB1MWioVSlix1VxbT7OQr0oSFBU1ZaFYWahaKpizkY2dDmK4iK1GiyGoyZkpsKLMgiWExIzsLK8V9oqbb3HN5HefMOfPxX+g9p+d93ufnvB/P+5yu1+uTL6pTqgMgUT9sVKhYLDqdzn6/j9sDHdkWi0UgEBAKhYPB4Bg/dGTjcDh+vx8aDofjGD90ZCNK34wNpvtsNhOJRHs7o1tSIgy2Xq+XSqXC4fDezuiWlOibzckvox+2j9Xr66vZbO52u9AWCAQSiSSbzULjUD90ZIOMpFarHe9nP5vBYGi325PJZPuYy+Wurq7m8/nxY5Ot/WyQs4rF4uFwCL/wqNVqYZL8a3Z3d6dWqzE9sFis5XJ5ZKA4hDQnlUrl/f39lu3h4cFut2ParFYrgqM7TqhslUrFZrNBu1wu4z6sGQwGvo7o+ruMgMSmUChcLhc0Hh8fz8/PYY6RFRqhQmKD/ZfL5Y5Go3Q6HY/HMW1Q1tsH12ZQzwCYlh6PB37/99E+63o72YR+fX0NmTGZwRAsJDb4IPl8PhaL0Wql7S2o7GKDnj6f7+np6ebmxmq1qlQqEiLEI8SCyi42SEEikYhUKgVHMpmM6AjxC7GggsHGZrP5fD40np+fd4/xZnmoGo2GRqOBhPj29hYe6/W6yWR6eXnB4WqHMNh+bYTSGd3yneCQLBQKkKmGQiH4CKVSKZlM4vCzW5TdA+RyOfwviUSi0+lcXl5CekD4EFTecWCLMhqNzWYTlvT2DbEJN2VssNdlMhnIeKbT6dtLYhMAatjG43EwGPR6vWdnZ7Dj6XQ6MkahgK3VasGtIhqNMplMODbdbne1WoXlR/hAFLBdXFwADIBBm8fjWSwWvV4PZyncehE9IBZUKGB7d4793uggD4gFFTrWgojSD9vn1B+xKRSN3hxPdQAAAABJRU5ErkJggg==)
Розв’язання.
Д(у):![](data:image/png;base64,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)
За означенням модуля маємо:
![](https://fsd.multiurok.ru/html/2019/02/09/s_5c5eba6b10cf5/1081582_3.png)
Тому має місце
і
, якщо
, тобто ![](data:image/png;base64,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)
Графік має вигляд
Рис.5
Відповідь: Див. рис.5
Побудувати графік функції.
![](data:image/png;base64,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)
Розв’язання.
Д(у):
; ![](data:image/png;base64,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)
За означенням модуля маємо:
Графік має вигляд:
Рис.6
Відповідь: Див. рис.6
7.Побудувати графік функції.
![](data:image/png;base64,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)
Розв’язання.
Д(у):![](data:image/png;base64,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)
![](data:image/png;base64,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)
За означенням модуля
![](https://fsd.multiurok.ru/html/2019/02/09/s_5c5eba6b10cf5/1081582_3.png)
Маємо графіки:
Якщо ![](data:image/png;base64,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)
![](data:image/png;base64,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)
1)
![](data:image/png;base64,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)
2)
![](data:image/png;base64,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)
= =
![](data:image/png;base64,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)
Будуємо графік функції
Рис.7
Відповідь: Див. рис.7