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    發新話題
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    什么是斜率?什么是幾何?我的感慨

    什么是斜率?什么是幾何?我的感慨

    什么是斜率?什么是幾何?為什么我聽老師講課如同聽天書一般?主啊!救救我吧!

    TOP

    “斜率”就是“傾斜的程度”。

    過去我們在學習解直角三角形時,都科書上就說過:斜坡坡面的鉛直高度h與水平寬度l的比值i叫做坡度;如果把坡面與水平面的夾角α叫做坡度,那么;坡度越大<=>α角越大<=>坡面越陡,所以i=tgα可以反映坡面傾斜的程度。

    現在我們學習的斜率k,等于所對應的直線(有無數條,它們彼此平行)的傾斜角(只有一個)α的正切,可以反映這樣的直線對于x軸傾斜的程度。

    實際上,“斜率”的概念與工程問題中的“坡度”是一致的。

    下面的概念就好理解了:

    斜率,亦稱“角系數”,表示一條直線相對于橫坐標軸的傾斜程度。一條直線與某平面直角坐標系橫坐標軸正半軸方向的夾角的正切值即該直線相對于該坐標系的斜率。
        如果直線與x軸互相垂直,由于直角沒有正切值,因此只有不與x軸垂直的直線才有斜率。
        對于一次函數y=kx+b,k即該函數圖像的斜率。
        對于任意函數上任意一點,其斜率等于其切線與x軸正方向的夾角,即tanα.

    TOP

    什么是幾何?

    什么是幾何?

    相傳古埃及的尼羅河每年都洪水泛濫,把兩岸的土地淹沒,人們無法辨認自己的田地,久而久之,人們利用測量與畫圖來測出土地的周界并計算面積,因而積累了大量的圖形知識.后來希臘商人到埃及學會了測量與繪圖知識,到公元前338年,希臘人歐幾里得對測量與繪圖這些知識作了系統的總結和整理,寫出了一部關于幾何的經典著作——《幾何原本》,這就形成了一本完整的幾何學.1607年,我國數學家徐光啟和意大利傳教士利瑪竇一起翻譯了《幾何原本》,同學們學的幾何課本就源于這部書.

    十八世紀德國著名數學家高斯在19歲時就用圓規和直尺作出了正十七邊形.1500年前,我國數學家祖沖之,計算出圓周率在3.1415926與3.1415927之間,他們為幾何學的發展作出了杰出的貢獻.

    數學是研究數量關系和空間形式的一門科學.幾何則是側重研究空間形式.

    TOP

        努力咯```

    TOP

    回復 2# Usee 的帖子

    斜淥我都知道啊,就是一次函數于橫坐標所構成角的正切值。即相中當于一次函數的k。。。。。。是嗎?

    TOP

    斜率就是tanα的值

    TOP

    發新話題

    當前時區 GMT+8, 現在時間是 2019-6-26 01:13
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