10.9 利用毕达哥里定理解决问题-interactive
章节大纲
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The Pythagorean Theorem and Sports
::毕达哥里神话和体育Mathematicians work in nearly every field helping to find ways to increase efficiency and performance. For example, s ports teams hire statisticians to analyze performance data to better understand the impact players can have on a game. Sports teams also use mathematicians to help coaches and players find an edge over their competitors. Tasks may involve studying the mechanics of a baseball swing, t he effectiveness of defensive positioning in hockey, and more. Teams are finding success through analytics and mathematical studies. This trend is spreading across every team in major sports to keep up with competitors.
::数学家几乎在每一个领域开展工作,帮助寻找提高效率和业绩的方法。例如,体育队雇用统计员分析业绩数据,以更好地了解球员对比赛的影响。体育队还利用数学家帮助教练和球员发现比竞争对手强的优势。任务可能包括研究棒球摇摆的机理、曲棍球防御定位的效果等等。球队正在通过分析和数学研究找到成功之处。这一趋势正在各大体育队之间蔓延,以跟上竞争对手的步伐。
The Pythagorean Theorem and Sports Continued
::毕达哥里神话和体育继续In American professional football, math is everywhere. The math skills needed to manage a clock are vital to success, coaches use math-based codes to disguise plays, split-second choices need to be made based on probability, and playing defense is all about angles. For a player trying to make a tackle, those angles will likely determine whether the tackle is made. An angle that is too small will result in the player with the ball running by you. An angle that is too large will result in the player with the ball running extra yards before being tackled. The defender needs to beat the offensive player to a spot while traveling the shortest distance possible.
::在美国专业足球中,数学无处不在。 管理时钟所需的数学技能对于成功至关重要,教练们使用数学代码来掩盖游戏,需要根据概率做出二分之一的选择,而辩护则完全以角度为基础。 对于一个试图打球的玩家来说,这些角度可能会决定是否打球。一个太小的角会导致球手与你一起跑球。一个太大的角度将导致球手在球场上跑多码,然后才能被打球。 辩护人需要击败进攻性玩家,同时在距离越短越远越好的地方跑越好。One famous example of this is the tackle made by New England Patriots’ tight end Ben Watson on Denver Broncos’ cornerback Champ Bailey after running back an interception 100 yards in the 2006 NFL Playoffs.
::新英格兰爱国者联盟(NFL)在2006年NFL决赛中击退100码的拦截后, 在丹佛布朗科(Danver Broncos)的后卫Camp Bailey上,Football Players need to have to perform a split second estimate involving the Pythagorean theorem to determine the minimum amount of distance needed to make the tackle. They need to consider how much faster they are than the other player, how far apart they are, and how much distance each will travel at varying angles. Use the interactive to see if you have the math skills needed to make a similar play.
::玩家需要执行包含 Pythagorean 定理的分数第二估计, 以确定要绘制选角所需的最小距离。 他们需要考虑他们比其他玩家更快多, 距离多远, 以及每个人在不同角度的行距多远。 使用互动来查看您是否具备进行类似游戏所需的数学技能 。INTERACTIVEPythagorean Theorem Football-
Move the red point on the field to change the arc of the defensive player (X). Watch how the offensive player (O) gets caught by the defensive player.
::移动场上的红点以改变防御玩家( X) 的弧。 注意进攻玩家( O) 如何被防御玩家抓住 。 -
Press Go to watch the animation and press reset to change the angle.
::按下鼠标可查看动画, 按重置可更改角度 。
+Do you want to reset the PLIX?ythagorean-theorem-and-its-converse" quiz-url="https://www.ck12.org/assessment/ui/embed.html?test/view/5f443d5e61126ca79d4e3124&collectionHandle=geometry&collectionCreatorID=3&conceptCollectionHandle=geometry-: ythagorean-theorem-and-its-converse&mode=lite" test-id="5f443d5e61126ca79d4e3124">
Support Cables
::支持电缆Support cables are used in many situations to counterbalance a weight or force.
::在许多情况下,支持电缆被用来抵消重量或力量。When engineers are installing a support cable, they need to use the Pythagorean Theorem to determine how long the cable must be. Use the interactive below to find the necessary length for a support cable.
::当工程师安装支持电缆时, 他们需要使用 Pythagorean Theorem 来确定电缆必须持续多久。 使用下面的交互功能来找到支持电缆所需的长度 。ythagorean-theorem-and-its-converse" quiz-url="https://www.ck12.org/assessment/ui/embed.html?test/detail/5c782bfb43a2807b28d056c4&mode=lite&collectionHandle=geometry&collectionCreatorID=3&conceptCollectionHandle=geometry-:
Geometric Applications
::几何应用The Pythagorean theorem can be applied to many geometry problems to find a missing side. Answer the questions below to find the missing sides of the following shapes.
::Pytagorean 定理可以应用于许多几何问题, 以找到缺失的一面 。 回答下面的问题, 以找到以下形状的缺失的一面 。Summary -
The Pythagorean Theorem states that
::《毕达哥里人理论论》指出,a2+b2=c2。 -
Use the equation for the pythagorean theorem to find a missing side length of a triangle given the measures of two of the side lengths.
::使用地平线定理方程式的方程式来找到一个三角形缺失的侧长, 因为边距的度量为两个。
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Move the red point on the field to change the arc of the defensive player (X). Watch how the offensive player (O) gets caught by the defensive player.
