90 lines
1.6 KiB
Plaintext
90 lines
1.6 KiB
Plaintext
ans
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02010
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$6$或$-2+12\mathrm{i}$或$2-8\mathrm{i}$
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002020
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$1+\dfrac{14}5\mathrm{i}$
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003521
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$\dfrac\pi 2$
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002018
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$4$
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003524
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(1) 直线$y=0$; (2) 圆$(x+1)^2+y^2=1$; (3) 椭圆$\dfrac{x^2}{36}+\dfrac{y^2}{11}=1$; (4) 线段$y=0 \ (x\in [-1,1])$; (5) 双曲线的一支: $y^2-\dfrac{x^2}{3}=1 \ (y<0)$
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003534
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(1) $[4\sqrt{2}-2,4\sqrt{2}+2]$; (2) $(3+\sqrt{2})-(4+\sqrt{2})\mathrm{i}$
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003535
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以$(1,0)$为圆心, $\dfrac 12$为半径的圆
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002057
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$2+\mathrm{i}$与$-2-\mathrm{i}$
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003542
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\textcircled{2}\textcircled{5}
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000168
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(1) 解为$2+\mathrm{i}$与$2-\mathrm{i}$; (2) 解为$\dfrac{-1+\sqrt{10}}3$与$\dfrac{-1-\sqrt{10}}3$
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030110
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(1) $-1\pm \dfrac{\sqrt{2}}2\mathrm{i}$; (2) $2(x+1+\dfrac{\sqrt{2}}2\mathrm{i})(x+1-\dfrac{\sqrt{2}}2\mathrm{i})$
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003544
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$p=12$, $q=26$
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002085
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证明略
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002086
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$\dfrac 52$或$-2$
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000163
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(1) $11$, $-60$, $61$, $11+60\mathrm{i}$; (2) \textcircled{3}
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003519
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B
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003520
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A
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003523
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$a+b\mathrm{i}$
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003522
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$-2+\mathrm{i}$
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002012
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二
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002016
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$\{-2,0\}$
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002017
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$40$
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003528
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以$(-3,7)$为圆心, $12$为半径的圆
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007313
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$3+2\mathrm{i}$与$-3-2\mathrm{i}$
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007314
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解为$\dfrac{\sqrt{2}}2+\dfrac{\sqrt{2}}2\mathrm{i}$与$-\dfrac{\sqrt{2}}2-\dfrac{\sqrt{2}}2\mathrm{i}$
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003758
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不存在推出关系, 因为$P$成立当且仅当$a\in (-2\sqrt{2},2\sqrt{2})$, $Q$成立当且仅当$a\in [-3,-1]\cup [1,3]$, $a=0$时$P$成立但$Q$不成立, $a=3$时$Q$成立但$P$不成立
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004167
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$2\sqrt{3}$
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009032
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(1) $(x+\sqrt{5}\mathrm{i}y)(x-\sqrt{5}\mathrm{i}y)$; (2) $2(x-\dfrac{3+\mathrm{i}}2)(x-\dfrac{3-\mathrm{i}}2)$
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003551
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(1) $-\dfrac 14$或$\dfrac{17}{4}$; (2) $-\dfrac 14$或$\dfrac 94$
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