数学IAIIB入試問題集・追加(2001)

(2001b007)
(2001b011)
(2001b025)
(2001b026)
(2001b029)
(2001b033)
(2001b051)
(2001b053)
(2001b059)
(2001b060)
(2001b061)
(2001b079)
(2001b084)
(2001b085)
(2001b088)
(2001b089)
(2001b092)
(2001b095)
(2001b096)
(2001b097)
(2001b100)
(2001b108)
(2001b138)
(2001b140)
(2001b143)
(2001b144)
(2001b147)
(2001b151)
(2001b155)
(2001b158)
(2001b166)
(2001b174)
(2001b184)
(2001b186)
(2001b223)
(2001b227)
(2001b277)
(2001b283)
(2001b284)

[2001b088]
- a＜-√2/2,√2/2＜a
[2001b089]
- (1)(2p-X,2q-Y)
- (2)点
  (-(1/3)a,(2/27)a³-(1/3)ab+c)
  に関して対称
- (3)(2p-X,Y)
[2001b092]
- r=√13/3
[2001b095]
- (1)真
- (2)偽
  (反例)
  a=√2,
  b=3-2√2,
  c=1+√2
[2001b096]
- (ア)(b)
- (イ)(b)
[2001b097]
- (1)2,3,4
- (2)1,5,6
- (3)2,3,4
[2001b100]
- (1)5√3
- (2)20√3/9
- (3)√7-(7√3/9)
[2001b108]
- (1)sinθ=2t/(1+t²)
- (2)cosθ=(1-t²)/(1+t²)
- (3)y=-(1/2)(t-1)²)
- (4)θ=90度のとき最大値0
[2001b138]
- (ア)14
- (イ)9
- (ウ)46
- (エ)4960
- (オ)24
- (カ)1680
[2001b140]
- (1)a₇=3,
  a₅₀=7
- (2)200
- (3)59685

[2001b143]
- (1)(α,β)=(-6,-5),(1,2)
- (2)c_n=-11(-5)^n-1,
  d_n=3・2^n-1
- (3)a_n=(1/7){18・2^n-1-11(-5)^n-1},
  b_n=(1/7){3・2^n-1+11(-5)^n-1}
[2001b144]
- (1/8)・40^2n-1
[2001b147]
- (1)S₁=1/2,
  S₂=5/6,
  S₃=41/42,
  S₄=1805/1806
- (2)S_n=1-(1/P_n)
[2001b151]
- (1)10001
- (2)90001
- (3)20003
[2001b155]
- (1)192
- (2)376/243
- (3)(8/5)-(3/5)(4/9)ⁿ
[2001b158]
- (1)X_n+1=2ⁿ-X_n
- (2)X_n=(2/3)(-1)ⁿ+(1/3)・2ⁿ
[2001b166]
- (1)c=0
- (2)x_n=(1/2)^n-1(p-b)+b
[2001b174]
- 最大値
  (π/81)(35+13√3)a³,
  2h=(√13-1)a/3
[2001b184]
- f(x)=0または
  f(x)=-(3/2)x²+x+(1/4)
[2001b184]
- f_n=(3/2){1-(1/3)ⁿ}x
  +2{1-(1/2)ⁿ}

[2001b223]
- (2)=+,
  =+
  =+
- (3)(1/6)||||||
[2001b227]
- (1)(-3,1,1)
- (2)6√2
- (3)(-3,2,0)
[2001b277]
- (1)15/128
- (2)
  - m-nが0以上の偶数のとき
  - その他のとき、0
[2001b283]
- 53/24
[2001b284]
- (1)3,4,5
- (2)(5ⁿ-4ⁿ)/6ⁿ
- (3)(6ⁿ+5ⁿ+4ⁿ+3ⁿ+2ⁿ+1)/6ⁿ
- (4)7