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Часть 1 страница 19, ГДЗ по математике за 4 класс к рабочей тетради Дорофеева

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Диагональ многоугольника

10. Дострой пирамиды, записывая на каждом камне сумму чисел, расположенных на двух нижних камнях.

\[\begin{array}{c} \boxed{\smash[b]{\underset{\hspace{2em}}{\textcolor{#e03131}{\mathbf{730}}}}} \\[0.3em] \boxed{\smash[b]{\underset{\hspace{2em}}{\textcolor{#e03131}{\mathbf{410}}}}}\kern0.4em \boxed{\smash[b]{\underset{\hspace{2em}}{\textcolor{#e03131}{\mathbf{320}}}}} \\[0.3em] \boxed{\smash[b]{\underset{\hspace{2em}}{\textcolor{#e03131}{\mathbf{240}}}}}\kern0.4em \boxed{\smash[b]{\underset{\hspace{2em}}{\textcolor{#e03131}{\mathbf{170}}}}}\kern0.4em \boxed{\smash[b]{\underset{\hspace{2em}}{\textcolor{#e03131}{\mathbf{150}}}}} \\[0.3em] \hspace{1.34em}\mathclap{110}\hspace{1.34em}\kern0.4em \boxed{\smash[b]{\underset{\hspace{2em}}{\textcolor{#e03131}{\mathbf{130}}}}}\kern0.4em \boxed{\smash[b]{\underset{\hspace{2em}}{\textcolor{#e03131}{\mathbf{40}}}}}\kern0.4em \boxed{\smash[b]{\underset{\hspace{2em}}{\textcolor{#e03131}{\mathbf{110}}}}} \\[0.3em] \hspace{1.34em}\mathclap{10}\hspace{1.34em}\kern0.4em \hspace{1.34em}\mathclap{100}\hspace{1.34em}\kern0.4em \hspace{1.34em}\mathclap{30}\hspace{1.34em}\kern0.4em \hspace{1.34em}\mathclap{10}\hspace{1.34em}\kern0.4em \hspace{1.34em}\mathclap{100}\hspace{1.34em} \end{array}\] \[\begin{array}{c} \boxed{\smash[b]{\underset{\hspace{2em}}{\textcolor{#e03131}{\mathbf{856}}}}} \\[0.3em] \boxed{\smash[b]{\underset{\hspace{2em}}{\textcolor{#e03131}{\mathbf{519}}}}}\kern0.4em \boxed{\smash[b]{\underset{\hspace{2em}}{\textcolor{#e03131}{\mathbf{337}}}}} \\[0.3em] \boxed{\smash[b]{\underset{\hspace{2em}}{\textcolor{#e03131}{\mathbf{310}}}}}\kern0.4em \boxed{\smash[b]{\underset{\hspace{2em}}{\textcolor{#e03131}{\mathbf{209}}}}}\kern0.4em \boxed{\smash[b]{\underset{\hspace{2em}}{\textcolor{#e03131}{\mathbf{128}}}}} \\[0.3em] \boxed{\smash[b]{\underset{\hspace{2em}}{\textcolor{#e03131}{\mathbf{205}}}}}\kern0.4em \boxed{\smash[b]{\underset{\hspace{2em}}{\textcolor{#e03131}{\mathbf{105}}}}}\kern0.4em \boxed{\smash[b]{\underset{\hspace{2em}}{\textcolor{#e03131}{\mathbf{104}}}}}\kern0.4em \boxed{\smash[b]{\underset{\hspace{2em}}{\textcolor{#e03131}{\mathbf{24}}}}} \\[0.3em] \hspace{1.34em}\mathclap{200}\hspace{1.34em}\kern0.4em \hspace{1.34em}\mathclap{5}\hspace{1.34em}\kern0.4em \hspace{1.34em}\mathclap{100}\hspace{1.34em}\kern0.4em \hspace{1.34em}\mathclap{4}\hspace{1.34em}\kern0.4em \hspace{1.34em}\mathclap{20}\hspace{1.34em} \end{array}\]

11. Вырази в указанных единицах.

\[\begin{aligned} 6\text{ м }5\text{ дм} &= \boxed{\smash[b]{\underset{\hspace{1.5em}}{\textcolor{#e03131}{\mathbf{65}}}}}\text{ дм} & \qquad 46\text{ дм} &= \boxed{\smash[b]{\underset{\hspace{1em}}{\textcolor{#e03131}{\mathbf{4}}}}}\text{ м }\boxed{\smash[b]{\underset{\hspace{1em}}{\textcolor{#e03131}{\mathbf{6}}}}}\text{ дм} \\ 3\text{ ч }25\text{ мин} &= \boxed{\smash[b]{\underset{\hspace{2em}}{\textcolor{#e03131}{\mathbf{205}}}}}\text{ мин} & \qquad 928\text{ см} &= \boxed{\smash[b]{\underset{\hspace{1em}}{\textcolor{#e03131}{\mathbf{9}}}}}\text{ м }\boxed{\smash[b]{\underset{\hspace{1em}}{\textcolor{#e03131}{\mathbf{2}}}}}\text{ дм }\boxed{\smash[b]{\underset{\hspace{1em}}{\textcolor{#e03131}{\mathbf{8}}}}}\text{ см} \end{aligned}\]

12. Заполни пропуски такими цифрами, чтобы получились верные записи.

\[\begin{array}{r} \vphantom{\boxed{\mathbf{0}}}\hspace{1.45em}\hspace{0.725em}\mathclap{2}\hspace{0.725em}\hspace{0.725em}\mathclap{4}\hspace{0.725em}\hspace{0.725em}\mathclap{\boxed{\kern0.035em\textcolor{#e03131}{\mathbf{1}}\kern0.035em}}\hspace{0.725em} \\ \vphantom{\boxed{\mathbf{0}}}\rule[-0.55em]{0pt}{0.55em}\hspace{0.725em}\mathclap{\smash{\raisebox{0.72em}{$+$}}}\hspace{0.725em}\hspace{0.725em}\mathclap{5}\hspace{0.725em}\hspace{0.725em}\mathclap{\boxed{\kern0.035em\textcolor{#e03131}{\mathbf{5}}\kern0.035em}}\hspace{0.725em}\hspace{0.725em}\mathclap{6}\hspace{0.725em} \\ \hline \vphantom{\boxed{\mathbf{0}}}\rule{0pt}{1.2em}\hspace{1.45em}\hspace{0.725em}\mathclap{\boxed{\kern0.035em\textcolor{#e03131}{\mathbf{7}}\kern0.035em}}\hspace{0.725em}\hspace{0.725em}\mathclap{9}\hspace{0.725em}\hspace{0.725em}\mathclap{7}\hspace{0.725em} \end{array} \qquad \begin{array}{r} \vphantom{\boxed{\mathbf{0}}}\hspace{1.45em}\hspace{0.725em}\mathclap{\boxed{\kern0.035em\textcolor{#e03131}{\mathbf{2}}\kern0.035em}}\hspace{0.725em}\hspace{0.725em}\mathclap{3}\hspace{0.725em}\hspace{0.725em}\mathclap{8}\hspace{0.725em} \\ \vphantom{\boxed{\mathbf{0}}}\rule[-0.55em]{0pt}{0.55em}\hspace{0.725em}\mathclap{\smash{\raisebox{0.72em}{$+$}}}\hspace{0.725em}\hspace{0.725em}\mathclap{4}\hspace{0.725em}\hspace{0.725em}\mathclap{\boxed{\kern0.035em\textcolor{#e03131}{\mathbf{1}}\kern0.035em}}\hspace{0.725em}\hspace{0.725em}\mathclap{8}\hspace{0.725em} \\ \hline \vphantom{\boxed{\mathbf{0}}}\rule{0pt}{1.2em}\hspace{1.45em}\hspace{0.725em}\mathclap{6}\hspace{0.725em}\hspace{0.725em}\mathclap{5}\hspace{0.725em}\hspace{0.725em}\mathclap{\boxed{\kern0.035em\textcolor{#e03131}{\mathbf{6}}\kern0.035em}}\hspace{0.725em} \end{array}\] \[\begin{array}{r} \vphantom{\boxed{\mathbf{0}}}\hspace{1.45em}\hspace{0.725em}\mathclap{7}\hspace{0.725em}\hspace{0.725em}\mathclap{9}\hspace{0.725em}\hspace{0.725em}\mathclap{\boxed{\kern0.035em\textcolor{#e03131}{\mathbf{7}}\kern0.035em}}\hspace{0.725em} \\ \vphantom{\boxed{\mathbf{0}}}\rule[-0.55em]{0pt}{0.55em}\hspace{0.725em}\mathclap{\smash{\raisebox{0.72em}{$-$}}}\hspace{0.725em}\hspace{0.725em}\mathclap{1}\hspace{0.725em}\hspace{0.725em}\mathclap{\boxed{\kern0.035em\textcolor{#e03131}{\mathbf{6}}\kern0.035em}}\hspace{0.725em}\hspace{0.725em}\mathclap{2}\hspace{0.725em} \\ \hline \vphantom{\boxed{\mathbf{0}}}\rule{0pt}{1.2em}\hspace{1.45em}\hspace{0.725em}\mathclap{\boxed{\kern0.035em\textcolor{#e03131}{\mathbf{6}}\kern0.035em}}\hspace{0.725em}\hspace{0.725em}\mathclap{3}\hspace{0.725em}\hspace{0.725em}\mathclap{5}\hspace{0.725em} \end{array} \qquad \begin{array}{r} \vphantom{\boxed{\mathbf{0}}}\hspace{1.45em}\hspace{0.725em}\mathclap{\boxed{\kern0.035em\textcolor{#e03131}{\mathbf{8}}\kern0.035em}}\hspace{0.725em}\hspace{0.725em}\mathclap{2}\hspace{0.725em}\hspace{0.725em}\mathclap{9}\hspace{0.725em} \\ \vphantom{\boxed{\mathbf{0}}}\rule[-0.55em]{0pt}{0.55em}\hspace{0.725em}\mathclap{\smash{\raisebox{0.72em}{$-$}}}\hspace{0.725em}\hspace{0.725em}\mathclap{3}\hspace{0.725em}\hspace{0.725em}\mathclap{\boxed{\kern0.035em\textcolor{#e03131}{\mathbf{6}}\kern0.035em}}\hspace{0.725em}\hspace{0.725em}\mathclap{7}\hspace{0.725em} \\ \hline \vphantom{\boxed{\mathbf{0}}}\rule{0pt}{1.2em}\hspace{1.45em}\hspace{0.725em}\mathclap{4}\hspace{0.725em}\hspace{0.725em}\mathclap{6}\hspace{0.725em}\hspace{0.725em}\mathclap{\boxed{\kern0.035em\textcolor{#e03131}{\mathbf{2}}\kern0.035em}}\hspace{0.725em} \end{array}\]

13. У Маши есть шерстяные нитки пяти цветов: красного, синего, зелёного, жёлтого и фиолетового. Она хочет связать шарф из ниток двух цветов. С помощью условных обозначений покажи, какие шарфы могут получиться у Маши. Например:

\[\begin{array}{c} \fcolorbox{#272727}{#ff8787}{\rule{0pt}{0.8em}\hspace{1.1em}}\kern-0.04em\fcolorbox{#272727}{#74c0fc}{\rule{0pt}{0.8em}\hspace{1.1em}} \quad \fcolorbox{#272727}{#ff8787}{\rule{0pt}{0.8em}\hspace{1.1em}}\kern-0.04em\fcolorbox{#272727}{#8ce99a}{\rule{0pt}{0.8em}\hspace{1.1em}} \quad \fcolorbox{#272727}{#ff8787}{\rule{0pt}{0.8em}\hspace{1.1em}}\kern-0.04em\fcolorbox{#272727}{#ffe066}{\rule{0pt}{0.8em}\hspace{1.1em}} \quad \fcolorbox{#272727}{#ff8787}{\rule{0pt}{0.8em}\hspace{1.1em}}\kern-0.04em\fcolorbox{#272727}{#d0bfff}{\rule{0pt}{0.8em}\hspace{1.1em}} \quad \fcolorbox{#272727}{#74c0fc}{\rule{0pt}{0.8em}\hspace{1.1em}}\kern-0.04em\fcolorbox{#272727}{#8ce99a}{\rule{0pt}{0.8em}\hspace{1.1em}} \quad \fcolorbox{#272727}{#74c0fc}{\rule{0pt}{0.8em}\hspace{1.1em}}\kern-0.04em\fcolorbox{#272727}{#ffe066}{\rule{0pt}{0.8em}\hspace{1.1em}} \\[10pt] \fcolorbox{#272727}{#74c0fc}{\rule{0pt}{0.8em}\hspace{1.1em}}\kern-0.04em\fcolorbox{#272727}{#d0bfff}{\rule{0pt}{0.8em}\hspace{1.1em}} \quad \fcolorbox{#272727}{#8ce99a}{\rule{0pt}{0.8em}\hspace{1.1em}}\kern-0.04em\fcolorbox{#272727}{#ffe066}{\rule{0pt}{0.8em}\hspace{1.1em}} \quad \fcolorbox{#272727}{#8ce99a}{\rule{0pt}{0.8em}\hspace{1.1em}}\kern-0.04em\fcolorbox{#272727}{#d0bfff}{\rule{0pt}{0.8em}\hspace{1.1em}} \quad \fcolorbox{#272727}{#ffe066}{\rule{0pt}{0.8em}\hspace{1.1em}}\kern-0.04em\fcolorbox{#272727}{#d0bfff}{\rule{0pt}{0.8em}\hspace{1.1em}} \quad \fcolorbox{#272727}{transparent}{\rule{0pt}{0.8em}\hspace{1.1em}}\kern-0.04em\fcolorbox{#272727}{transparent}{\rule{0pt}{0.8em}\hspace{1.1em}} \quad \fcolorbox{#272727}{transparent}{\rule{0pt}{0.8em}\hspace{1.1em}}\kern-0.04em\fcolorbox{#272727}{transparent}{\rule{0pt}{0.8em}\hspace{1.1em}} \end{array}\] Всего \({\rule{0pt}{1.23em}\boxed{\smash[b]{\underset{\hspace{1.5em}}{\textcolor{#e03131}{\mathbf{10}}}}}}\) вариантов.

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