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109年 - 109-1 桃園市立大園國際高中教師甄選：數學科#86510
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題組內容
9.
(a) Find the probability that Chloe wins the game. [5 分] Chloe
其他申論題
5. Consider the equation , . Given that and . Find the solution to the equation for .
#349818
6. Two unbiased tetrahedral (four-sided) dice with faces labelled 1, 2, 3, 4 are thrown and the scores recorded. Let the random variable T be the maximum of these two scores. Find the expected value of T .
#349819
7. 已知 ，若 f( x ) 可以整理成 ，試求 a，h，p，k 之值。
#349820
8. 試求 x2000 -1 除以的餘式。
#349821
(b) Determine (i)i the mean of X ; [2 分]
#349823
(ii) the variance of X . [3 分]
#349824
(a) Find the Cartesian equation of the plane Π1 , passing through the points A, B and D. [2 分]
#349825
(b) Find the angle between the faces ABD and BCD. [2 分] The plane Π2 , passes through O and is normal to the line BD. [2 分]
#349826
The plane Π2 , passes through O and is normal to the line BD.(c) Find the Cartesian equation of Π2 . [2 分]
#349827
Π2 cuts AD and BD at the points P and Q respectively.(d) Show that P is the midpoint of AD. [2 分]
#349828
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