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Re:公式的证明,不知对不对In Reply To:Re:公式的证明,不知对不对 Posted by:chpzcc at 2012-06-04 14:24:30 > 设dl的一个端点为点A,一个端点为点B,点O(台灯)作垂直于该栅栏的线,交栅栏于点D,如下图: > > ————D——A—-—B————— OA请自行想象... > | / > | / > | / > | / > | / > | / > | / > | / > | / > |/ > O > > 有OB=r, 那么OD=r*cosa > 设OA与OB的夹角为da,则, > dl > =AB > =BD-AD > =OD*(tana-tan(a-da)) > =r*(sina-cosa*(tana-tanda)/(1+tana*tanda)) //tan(a-b)公式 > =r*(sina*tana*tanda+cosa*tanda)/(1+tana*tanda) //通分 > =r*tanda/(cosa+sina*tanda) //上下同乘cosa > =r*sinda/(cosa*cosda+sina*sinda) //上下同乘cosda > =r*sinda/cos(a-da) > =r*da/cos(a-da) //sinda=da > =r*da/cosa //这步不知道是不是有点问题 > > 所以 > dI > =I0*|cosa|*dl*h > =k/r*|cosa|*r*da/cosa*h > =k*h*da 用sinda不就完了干嘛要用tanda Followed by: Post your reply here: |
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