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幾題微積分
<div></div> 1. what is "斜座標" ?2. 1st step : the slope of the tangent = dy/dx
2nd step : sub (6,6) into the point slope form
3. firstly , if f'(x) = 0 , we can't say f(x) has any extremum(s)
secondly , the coefficient of (x^3) is positive , since f(x) is increasing for the
intervals (-∞ , a) and (a , ∞)
lastly , we must consider the discriminant of f'(x) ≦ 0
4. yes , from the fundamental theorem of algebra or rolle's theorem
we know that , there exists at most 3 roots
and by intermediate value theorem , we know that , there exists at least one root
but , if we want to know how many real root(s) does it have ...
we must count how many times cut the x-axis
...<div class='locked'><em>瀏覽完整內容，請先 <a href='member.php?mod=register'>註冊</a> 或 <a href='javascript:;' onclick="lsSubmit()">登入會員</a></em></div> 關於學習，有些人喜歡以一本參考書或課本為主再添加補充，也有人偏好依照老師於課堂上的教授內容來讀書，而身為第二種學習者，製作筆記的能力又會顯得特別重要。
由於手寫絕對無法趕上老師的說話速度，所以課堂上的筆記通常還需要第二階段的重騰或整理。不過，只是單純將文章重新排版容易顯得乏味和缺乏進一步思考，不如將重騰的筆記本設定成「自問自答」形式，如此一來將能體會到下列好處。
...<div class='locked'><em>瀏覽完整內容，請先 <a href='member.php?mod=register'>註冊</a> 或 <a href='javascript:;' onclick="lsSubmit()">登入會員</a></em></div> 第一題 斜座標
先令A(0,0) B(1,0) C(0,1) D(α, β)
中點公式：兩分量分別加起來再除以2
F為AD中點，所以F(α/2, β/2)
E為CF中點，所以E(α/4, β/4+1/2)
D為BE中點，所以D(α/8+1/2, β/8+1/4)=D(α, β)
α/8+1/2=α→α=4/7
β/8+1/4=β→β=2/7
感恩,都解出來了^^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~<br><br><br><br><br><div></div> 謝謝回復:)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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