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研究生入学考试◆英语

研究生入学考试◆数学

高等◆管理学

115年 - 18400 模具-模具項 丙級 工作項目 05：模具製作及修整 51-100（2026/01/05 更新）#136165(50題)

115年 - 18400 模具-模具項 丙級 工作項目 05：模具製作及修整 1-50（2026/01/05 更新）#136164(50題)

115年 - 18400 模具-模具項 丙級 工作項目 04：刀具選用、研磨及配置 1-50（2026/01/05 更新）#136163(50題)

115年 - 18400 模具-模具項 丙級 工作項目 03：基本操作 101-150（2026/01/05 更新）#136162(50題)

115年 - 18400 模具-模具項 丙級 工作項目 03：基本操作 51-100（2026/01/05 更新）#136161(50題)

115年 - 18400 模具-模具項 丙級 工作項目 03：基本操作 1-50（2026/01/05 更新）#136160(50題)

115年 - 18400 模具-模具項 丙級 工作項目 02：手工作業 51-100（2026/01/05 更新）#136159(50題)

115年 - 18400 模具-模具項 丙級 工作項目 02：手工作業 1-50（2026/01/05 更新）#136158(50題)

115年 - 18400 模具-模具項 丙級 工作項目 01：模具量測 1-50（2026/01/05 更新）#136157(50題)

115年 - 18301 車床-CNC 車床 乙級 工作項目 08：機具維護與故障排除 1-18（2026/01/05 更新）#136156(18題)

25. (4 points) Which of the following statements are correct? (A) If Q is orthogonal, then det(Q) = = +1. (B) Let A be a real n x n matrix. Then A is symmetric if and only if A is orthogonally equivalent to a real diagonal matrix. (C) Let A E Rixm be a matrix whose characteristic polynomial splits over R. Then A is orthogonally equivalent to a real upper triangular matrix. (D) Let T be a self-adjoint (Hermitian) operator on a finite-dimensional inner product space V. Then every eigenvalue of T is positive. (E) Let T be a self-adjoint (Hermitian) operator on a finite-dimensional inner product space V. Then every eigenvalue of T is negative.

24. (4 points) Let Wi and Wa be subspaces of a finite-dimensional vector space V. Let 6 denote the direct sum. Which of the following statements are correct? (A) Win Wa is a subspace of V. (B) WiUW2 is a subspace of V. (C) W1+W2 is a subspace of V. (D) If V = Wi @ Wa, and Bi and Be are bases for Wi and Wa, respectively, then Bi O Bz = 0, and B1 U Bz is a basis for V. (E) If Wi e Wa = V, then the dimension dim(V) = dim(Wi)+dim(Wz).

23. (4 points) Which of the following statements are NOT correct? (A) If S is linearly independent and generates V, each vector in V can be expressed uniquely as a linear combination of vectors in S. (B) Every vector space has at least two distinct subspaces. (C) No vector is its own additive inverse. (D) All vector spaces having a basis are fnitely generated. (E) Any two bases in a finite-dimensional vector space V have the same number of elements.

10. Let D be the region in zy-plane bounded by x2 = y, x2 = 3y, y2=x,y2=3x . Use the transformation to evaluate the double integral.

9. Use the method of Lagrange multiplier to find the shortest and longest distance from the origin to curve 9x2 + 16xy +21y2 = 125.

8. Let C be the curve of intersection of surfaces xy + yz +zx = -14 and x2+y2+z2=29.The tangent line of curve C at point (2,3, -4) is given by= z + 4. Findthe values of a, b.

徐喬-經濟學(資料太多優化中)

講師：【站僕】摩檸Morning.

王立杰-幼稚教育考試精粹

講師：【站僕】摩檸Morning.

陳萱-公民

講師：【站僕】摩檸Morning.

國文筆記二

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國文筆記五 應用文（一）

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國文筆記六 應用文（二）

描述：國考用

36.下列何者是經口投予硫酸鎂的作用？ (A)容積性（bulk）排便劑 (B)潤滑性（emollient）瀉藥 (C)高滲透壓性（hyperosmotic）瀉藥 (D)刺激性（irritant）瀉藥

1. Although red maple is less fire tolerant than blackgum, it is much more   prolific  , faster growing in high light and highly opportunistic in response to disturbances. (A) aggressive (B) beneficial (C) perilous (D) pessimistic (E) productive

20. This national park has been preserved in all its _____ wildness so that visitors in future years may see how people lived during the eighteenth century. (A) esoteric (B) hedonistic (C) lubricious (D) pristine (E) untrammeled 

2、勞資爭議處理法。(1 分)

3、大量解僱勞工保護法。(1 分)

2、事業單位依大量解僱勞工保護法規定提出解僱計畫書之日起多少日內？(2 分)勞雇雙方應即本於何種精神進行協商？(2 分)