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集合I={-3,-2,-1,0,1,2},A={-1,1,2},B={-2,-1...
集合I={-3,-2,-1,0,1,2},A={-1,1,2},B={-2,-1,0},则A∪(CIB)= .
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,其中n为正整数.
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1(θ)、f
3(θ)的单调性,并就f
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(2)证明:2f
6(θ)-f
4(θ)=(cos
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4θ)(cos
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(3)对于任意给定的正奇数n,求函数f
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椭圆
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的左、右焦点分别为F
1、F
2,过F
1的直线l与椭圆交于A、B两点.
(1)如果点A在圆x
2+y
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,(m>0且m≠1)的图象,无论m为何值时恒过定点(b,a),求
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的取值范围.
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已知数列{a
n}满足
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,
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2,a
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4;
(2)是否存在实数t,使得数列
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是公差为-1的等差数列,若存在求出t的值,否则,请说明理由;
(3)记
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数列{b
n}的前n项和为S
n,求证:
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.
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如图,斜三棱柱ABC-A
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1C
1,已知侧面BB
1C
1C与底面ABC垂直且∠BCA=90°,∠B
1BC=60°,BC=BB
1=2,若二面角A-B
1B-C为30°.
(Ⅰ)证明:AC⊥平面BB
1C
1C;
(Ⅱ)求AB
1与平面BB
1C
1C所成角的正切值;
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1B内找一点P,使三棱锥P-BB
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在△OAB的边OA、OB上分别有一点P、Q,已知
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:
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=1:2,
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:
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=3:2,连接AQ、BP,设它们交于点R,若
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=
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,
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=
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.
(Ⅰ)用
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与
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表示
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;
(Ⅱ)过R作RH⊥AB,垂足为H,若|
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|=1,|
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|=2,
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与
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的夹角
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,求
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的范围.
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