tag:blogger.com,1999:blog-88698432377620585742024-02-21T06:09:23.955+04:00On-line тур проекта ДООМВысшее назначение математики
как раз и состоит в том,
чтобы находить скрытый порядок
в хаосе, который нас окружает.
/Н. Винер/Unknownnoreply@blogger.comBlogger6125tag:blogger.com,1999:blog-8869843237762058574.post-42075714586300205832012-12-06T14:03:00.001+04:002012-12-06T14:03:47.997+04:00Задача № 3 (старшая группа)<div dir="ltr" style="text-align: left;" trbidi="on">
<br />
<div class="MsoNormal" style="margin-bottom: 0.0001pt;">
<b>Произведение двух
последовательных натуральных чисел равно 210. Найди эти числа.<o:p></o:p></b></div>
</div>
Unknownnoreply@blogger.com14tag:blogger.com,1999:blog-8869843237762058574.post-88858978321642027982012-12-06T14:01:00.001+04:002012-12-06T14:01:27.740+04:00Задача № 2 (старшая группа)<div dir="ltr" style="text-align: left;" trbidi="on">
<b><span style="font-family: Calibri; font-size: 11.0pt; line-height: 115%; mso-ansi-language: RU; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US;">На затонувшей каравелле XIV века были
найдены шесть мешков с золотыми монетами. В первых четырех мешках
оказалось по 60, 30, 20 и 15 золотых монет. Когда подсчитали монеты
в оставшихся двух, кто-то заметил, что число монет в мешках
составляет некую последовательность. Приняв это к сведению, смогли бы
вы сказать, сколько монет в шестом мешке?</span></b><br />
<b><span style="font-family: Calibri; font-size: 11.0pt; line-height: 115%; mso-ansi-language: RU; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US;"><br /></span></b>
<span style="font-family: Calibri; font-size: 11pt; line-height: 115%;">Подсказка. Обратите внимание: все
числа 60, 30, 20, 15 — делители числа 60. </span></div>
Unknownnoreply@blogger.com8tag:blogger.com,1999:blog-8869843237762058574.post-55551462150156572222012-12-06T13:58:00.001+04:002012-12-06T13:58:34.315+04:00Задача № 1 (старшая группа)<div dir="ltr" style="text-align: left;" trbidi="on">
<b><span style="font-family: Calibri; font-size: 11.0pt; line-height: 115%; mso-ansi-language: RU; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US;">Наши предки называли число, равное миллиону
миллионов, словом "легион". Если разделить миллион легионов на
легион миллионов, что получится? </span></b></div>
Unknownnoreply@blogger.com6tag:blogger.com,1999:blog-8869843237762058574.post-70420733791817915962012-12-03T15:34:00.000+04:002012-12-06T14:05:36.791+04:00Задача № 4 (старшая группа)<div dir="ltr" style="text-align: left;" trbidi="on">
<b><span style="font-family: Calibri; font-size: 11.0pt; line-height: 115%; mso-ansi-language: RU; mso-bidi-font-family: "Times New Roman"; mso-bidi-language: AR-SA; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US;">Из прямоугольных полосок со сторонами <st1:metricconverter productid="1 см" w:st="on">1 см</st1:metricconverter> и <st1:metricconverter productid="5 см" w:st="on">5 см</st1:metricconverter> сложен прямоугольник.
Доказать, что длина одной из сторон этого прямоугольника кратна 5.</span></b></div>
Unknownnoreply@blogger.com19tag:blogger.com,1999:blog-8869843237762058574.post-71866259178275166822012-12-01T08:41:00.000+04:002012-11-29T09:04:01.911+04:00On-line тур 2012 г.<div dir="ltr" style="text-align: left;" trbidi="on">
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<div class="MsoNormal" style="line-height: normal; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; mso-outline-level: 3;">
<a href="http://www.blogger.com/blogger.g?blogID=8869843237762058574" name="7550161042848544858"></a><b><span style="font-family: "Times New Roman","serif"; font-size: 13.5pt; mso-fareast-language: RUfont-family:";"><a href="http://doom-on-line.blogspot.com/2010/12/on-line.html"><span style="color: blue;"></span></a> </span></b></div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<br />
<div style="text-align: justify;">
<span style="font-family: 'Times New Roman', serif; font-size: 12pt;">Уважаемые участники ДООМ! Предлагаем вам принять участие в on-line туре олимпиады. Надеемся, что это позволит получить не только дополнительные баллы, но и новые знания, положительные эмоции.</span></div>
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-language: RUfont-family:";"><br /><b>Условия проведения конкурса</b><br /><div style="text-align: justify;">
<span style="font-size: 12pt;">Организаторы олимпиады в установленное время в этом блоге проекта ДООМ выкладывают задачи этапа «Разминка».</span><span style="font-size: 12pt;"> </span><span style="font-size: 12pt;">Ответы на эти задачи публикуются в блоге. Затем участники переходят по ссылке на страницу теста, содержащего более сложные конкурсные задания. Ответы на эти задачи участники публикуют на странице теста. Время выполнения заданий 45 минут.</span></div>
<br /><b>Дата и время проведения конкурса</b><br /><br /><b><i>Младшая возрастная группа:</i></b></span></div>
<ul type="disc">
<li class="MsoNormal" style="line-height: normal; mso-list: l1 level1 lfo1; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; tab-stops: list 36.0pt;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-language: RUfont-family:";">4 декабря 2012 года 13:00 до 14:00 (время московское)</span></li>
</ul>
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<b><i><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-language: RUfont-family:";">Средняя возрастная группа:</span></i></b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-language: RUfont-family:";"></span></div>
<ul type="disc">
<li class="MsoNormal" style="line-height: normal; mso-list: l2 level1 lfo2; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; tab-stops: list 36.0pt;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-language: RUfont-family:";">5 декабря 2012 года с 13:00 до 14:00 (время московское)</span></li>
</ul>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
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<div class="MsoNormal" style="margin-bottom: 0cm;">
<b><i><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Старшая возрастная группа:</span></i></b><span style="font-family: "Times New Roman","serif"; font-size: 12pt;"></span></div>
<ul type="disc">
<li class="MsoNormal"><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">6 декабря 2012 года с 14:00 до 15:00 (время московское)</span></li>
</ul>
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<b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-language: RUfont-family:";">Оценка участия в конкурсе</span></b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-language: RUfont-family:";"> </span><br />
<b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-language: RUfont-family:";"><br /></span></b></div>
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<b><i style="mso-bidi-font-style: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-language: RUfont-family:";">Первый этап on-line тура - РАЗМИНКА</span></i></b><i style="mso-bidi-font-style: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-language: RUfont-family:";"><br /></span></i><br />
<div style="text-align: justify;">
<i style="mso-bidi-font-style: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-language: RUfont-family:";"><span style="font-size: 12pt;">Участникам предлагаются мини-задачи (и шуточные, и вполне серьезные). Задачи размещаются по одной. Ответы должны быть предельно краткими. На данном этапе главное - правильный ответ и скорость! Тем участникам, кто первым поместит правильный ответ на задачу этапа «Разминка», будет начислен 1 балл.</span><span style="font-size: 12pt;"> </span></span></i></div>
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-language: RUfont-family:";"><br /><i>Например. </i></span></div>
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<i><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-language: RUfont-family:";">Задача: Книга в переплете стоит 2 рубля 50 копеек. Книга на 2 рубля дороже переплета. Сколько стоит переплет? </span></i></div>
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<i><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-language: RUfont-family:";">Комментарий: Цена переплета - 25 коп. </span></i><b><i><span lang="EN-US" style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-ansi-language: EN-US; mso-fareast-language: RUfont-family:";">IDm</span></i><i><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-language: RUfont-family:";">2011_001</span></i></b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-language: RUfont-family:";"><br /><br /><u><span style="mso-bidi-font-weight: bold;">При отправке комментария, содержащего ответ к задаче, нужно учесть следующее:</span></u></span></div>
<ol start="1" type="1">
<li class="MsoNormal" style="line-height: normal; mso-list: l0 level1 lfo3; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; tab-stops: list 36.0pt;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-language: RUfont-family:";">В комментарий нельзя помещать объекты - формулы, рисунки.</span></li>
<li class="MsoNormal" style="line-height: normal; mso-list: l0 level1 lfo3; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; tab-stops: list 36.0pt;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-language: RUfont-family:";">Не принимаются ответы на задачи без указания id-номера команды.</span></li>
</ol>
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<div style="text-align: justify;">
<b><i style="mso-bidi-font-style: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-language: RUfont-family:";">Второй этап</span></i></b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-language: RUfont-family:";"> будет содержать задачи более сложные. Задачи проверяются системой тестирования, и результат своей работы участники видят сразу после завершения теста. </span></div>
</div>
<div class="MsoNormal" style="line-height: normal; margin-bottom: .0001pt; margin-bottom: 0cm;">
<b style="mso-bidi-font-weight: normal;"><i style="mso-bidi-font-style: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-language: RUfont-family:";"><br /></span></i></b>
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-language: RUfont-family:";"> </span><b style="mso-bidi-font-weight: normal;"><i style="mso-bidi-font-style: normal;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-language: RUfont-family:";">Общий результат подводится суммированием баллов.</span></i></b></div>
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<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; mso-fareast-language: RUfont-family:";"> </span><b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;">Не забудьте поприветствовать участников on-line тура!</span></b><br />
<b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt;"><br /></span></b>
<i style="font-family: 'Times New Roman', serif; font-size: 16px;">Удачи всем участникам и полета мысли!</i></div>
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<b><span style="font-family: "Times New Roman","serif"; font-size: 12pt;">Тренировочная задача: </span></b><br />
<div style="text-align: justify;">
<span style="font-family: 'Times New Roman', serif; font-size: 16px;">У директора зоопарка спросили, сколько в зоопарке верблюдов и страусов. На что он ответил: «У всех верблюдов и страусов вместе 60 глаз и 86 ног». Сколько животных каждого вида в зоопарке?</span></div>
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<span style="color: black; font-family: "; font-size: 12.0pt; line-height: 115%;"></span> <br />
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Unknownnoreply@blogger.com43Тольятти, Самарская область, Россия53.5095134 49.417527453.358429400000006 49.101670399999996 53.6605974 49.7333844tag:blogger.com,1999:blog-8869843237762058574.post-80237382334219505832012-12-01T08:20:00.000+04:002012-11-29T09:15:11.034+04:00Тренировочная задача 2012 г.<div dir="ltr" style="text-align: left;" trbidi="on">
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<span style="font-family: 'Times New Roman', serif; font-size: 16px; text-align: justify;"><b>ЗАДАЧА</b>: У директора зоопарка спросили, сколько в зоопарке верблюдов и страусов. На что он ответил: «У всех верблюдов и страусов вместе 60 глаз и 86 ног». Сколько животных каждого вида в зоопарке?</span><br />
<span style="font-family: 'Times New Roman', serif; font-size: 16px; text-align: justify;"><br /></span>
<span style="font-family: 'Times New Roman', serif; font-size: 16px; text-align: justify;"><i><u>Внимание! При отправке ответа нужно выполнить следующие действия: </u></i></span><br />
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<li><span style="font-family: 'Times New Roman', serif; font-size: 16px; text-align: justify;">Перейти в поле «Отправить комментарий». </span></li>
<li><span style="font-family: 'Times New Roman', serif; font-size: 16px; text-align: justify;">В поле комментария написать ответ. </span></li>
<li><span style="font-family: 'Times New Roman', serif; font-size: 16px; text-align: justify;">В строке подпись комментария выбрать профиль «Имя/URL», далее в открывшемся окне в строку «Имя» вписать ID-номер команды. </span></li>
<li><span style="font-family: 'Times New Roman', serif; font-size: 16px; text-align: justify;">Строку «URL» оставить незаполненной. </span></li>
<li><span style="font-family: 'Times New Roman', serif; font-size: 16px; text-align: justify;">Нажать на кнопку «Продолжить». </span></li>
<li><span style="font-family: 'Times New Roman', serif; font-size: 16px; text-align: justify;">Нажать на кнопку «Отправить комментарий». </span></li>
</ol>
<span style="font-family: 'Times New Roman', serif; font-size: 16px; text-align: justify;"> Ваш ответ будет опубликован. </span><br />
<span style="font-family: 'Times New Roman', serif; font-size: 16px; text-align: justify;"><br /></span>
<span style="font-family: 'Times New Roman', serif; font-size: 16px; text-align: justify;"><b><u><i> Внимание! Не принимаются ответы на задачи без указания id-номера команды.</i></u></b></span></div>
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Unknownnoreply@blogger.com31