二、問答題：
1. 試說明何謂管網系統之 GIS(地理資訊系統)，並說明主要功能？

2. 試說明採用不斷水工法施工之優點，及說明鞍帶分水栓(搭配不銹鋼波狀管或不銹鋼管) 之施工作業程序。

3. 試說明鑄鐵管若發生腐蝕將產生何種沉澱物？並說明造成腐蝕原因?

4. 試說明自來水管內塗裝環氧樹脂粉體塗料之組成成分？並說明管內外壁塗裝前如何處理？

5. 試說明抽水機之吸水管應符合哪些規定？

1. (15%) Evaluate the following integral

(2) (7%6) Compute the quantity A given below where the Fourier transform of f1(t) is given in the following figure (a).

(b) (8%) Compute the quantity B given belowwhere the Fourier transform of f2(t) is given in the following figure (b).

(a) (6%) Please continue the argument to derive the result rank(A) = rank(R). (接下來前段是背景知識介紹,之後才是提問)Insthq given, instead of using the elementary row operations (i.e. the Gauss eliminations) to manipulate the equation, we may also apply the QR factorization to the equation to get QRx = b, which implies further QT QRx = QTb. Since QTQ = In, it gives Rx = QTb. Thus, according to the result of (a), when all columns of A are linearly independent, the square matrix R is nonsingular and so the solution x =b is obtained. It seems that we may summarize the above argument as the following statement: Given, where all columns of A are assumed linearly independent, then solution to the equation Ax = 6 can always be computed from x =, where Q and R are matrices obtained from the QR factorization of A. However, the simple example shows that the summary is incorrect because, according to the summary, the solution is x ==0 and obviously it does not satisfy the original equation.

(b) (5%) What is the error (or are the errors) in the argument right before the summary to make it incorrect?

(a) (6%) Write an equation to indicate the relationship between the two coordinate vectors [L(v)]E and [v]F.

112年 - 112 經濟部全國性自來水事業技術人員考驗試題_甲級：施工人員#122283

111年 - 111 經濟部全國性自來水事業技術人員考驗試題_甲級：施工人員#113317

110年 - 110 經濟部全國性自來水事業技術人員考驗試題_甲級：施工人員#110233

109年 - 109 經濟部全國性自來水事業技術人員考驗試題_甲級：施工人員#117474

108年 - 108 經濟部全國性自來水事業技術人員考驗試題_甲級：施工人員#83741

107年 - 107 經濟部全國性自來水事業技術人員考驗_甲級：施工人員#78728

106年 - 106-1 經濟部全國性自來水事業技術人員考驗_甲級：施工人員#78761

106年 - 106-2 經濟部全國性自來水事業技術人員考驗_甲級：施工人員#78760

105年 - 105 經濟部全國性自來水事業技術人員考驗_甲級：施工人員#78793

104年 - 104 經濟部全國性自來水事業技術人員考驗_甲級：施工人員#78819