資訊推薦

• 9. 已知g(2)=2，g'(2)=-1，g(3)=-2， g'(3)=2，且f(3x)=x2g(2x3)，則f'(3) =？ (A)-2 (B)(C)1 (D)3
• 10. 已知函數f(x)= |x|, -π＜x＜π,若函數f(x)的傅立葉級數(Fourier series)可表示為 f(x) = A₀ + A₁cosx + A₃cos3x + A₅cos5x+…
• 7. The first few spherical harmonics(θ, Φ) responsible for the angular parts of the hydrogen wavefun
• 10.f(x)=，則f(x)在x=π的切線斜率為何？ (A)-1(B)1-π (C) 1 (D)1+π
• 11. 若向量,則向量內積=? (A) 0 (B) 16 (C) 38 (D) 68
• 11.f(x)=，則f(x)在x=0的泰勒級數為何？ (A)(B)(C)(D)
• 8. An unnormalized wavefunction of the hydrogen atom is given by r2e(3 cos2 θ - 1). What are the thr
• 12. 已知三維空間中一向量= ＜2, 3,−2＞,其與座標軸(X,Y,Z)夾角分別為 α、β、γ,則 cosγ = ? (A) (B) 0 (C) (D)
• 12.=？[提示：利用羅必達法則(L'Hospital's Rule)] (A) 1 (B)(C) 0 (D) 不存在
• 9. The general structure of the porphyrin molecule is shown on the right side. This molecule is plan
• 13.=？(A)e+1(B)e-1(C)∞(D)0
• 10. Following the question 09, what is the transition energy for an electron from the highest filled
• 11. Following the questions 09 and 10, alternately, we can approximate the 22πelectrons of the porph
• 14. 心臟線r=1+cosθ，所圍成之區域面積 =？ (A) 1(平方單位) (B)(平方單位) (C)(平方單位) (D)(平方單位)
• 12. According to the Huckel Molecular Orbital (MO) Theory for s bonding, the sccular determinant for
• 13. 若向量= ＜2, 3, a＞、= ＜-3, 4, 4＞、= ＜0,1,2＞,且向量的純量三重積 =29,則 a = ? (A) -2 (B) -1 (C) 0 (D)
• 13. Following the question 12, what is the total energy value (in terms of a and B) of the ground st
• 14. Which of the following statement is correct? (A) CO2 is a linear molecule and therefore there is
• 15. CO2 can be hydrogenated into methanol through flowing a gas mixture (molar ratio between H2 and
• 16. Benzene is mixed with toluene to form an ideal solution. At 100℃, the vapor pressures of pure be
• 15.∫ ln(5x)dx=? (A)[ln(5x)]2+c (B)(C)x ln(5x)-x+c (D)
• 17. Consider a gaseous unimolecular isomerization reaction (which contains two consecutive reactions
• 16.=？ (A)(B)(C)(D)
• 14. 已知向量= ＜1,2,3＞、= ＜a,3,5＞,若向量之外積為向量 ＜1,7,-5＞,則 a = ? (A) -8 (B) -4 (C) 0 (D) 4
• 17. 求曲線x=1、y=與y=1 所圍區域繞 x 軸旋轉一周的旋轉體體積 =？ (A)2 ln 2-1(立方單位) (B)(2 ln 2-1) (立方單位) (C)π(立方單位) (D)(立方單位)