321 lines
3.5 KiB
Plaintext
321 lines
3.5 KiB
Plaintext
ans
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15122
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$\{0,1,2\}$
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15123
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$1$
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15124
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$\sqrt{5}$
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15125
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$\dfrac{x^2}{\frac{11}3}+\dfrac{y^2}{\frac{11}2}=1$($\dfrac{3x^2}{11}+\dfrac{2y^2}{11}=1$)
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15126
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$-\dfrac 23$
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15127
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$3$
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15128
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$(0,\dfrac 12]$
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15129
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$(\dfrac 14,\dfrac{\sqrt{3}}4)$
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15130
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$y=0.186x+11.571$
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15131
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$\dfrac{\sqrt{2}}2$
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15132
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$95.4$(或者$95.5$也可以)
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15133
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$1+2\lg 2$
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15134
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C
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15135
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B
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15136
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A
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15137
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D
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15138
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(1) 证明略; (2) $2^{n+2}-4-3n$
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15139
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(1) $\dfrac 23$; (2) 证明略
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15140
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(1) $2\sqrt{3}$; (2) $\sqrt{2}$
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15141
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(1) 分布为$\begin{pmatrix}0 & 1 & 2 \\ \dfrac 15 & \dfrac 35 & \dfrac 15\end{pmatrix}$, 期望为$1$; (2) $\chi^2\approx 0.595$, 脑瘤病患在左右侧的部位与习惯在哪一侧接听手机电话无关
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15142
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(1) $2x-y-2\ln 2=0$; (2) $-a-\dfrac 12$; (3) 有且仅有一个零点
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15143
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$(-1,1)$
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15144
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$\pi$
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15145
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$2$
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15146
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$9$
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15147
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$(-\infty,0)\cup [\dfrac 13,+\infty)$
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15148
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$-\dfrac 17$
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15149
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$36\pi$
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15150
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$14$
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15151
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$68$
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15152
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$3$
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15153
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$(-\dfrac 12,0)$
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15154
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$3\sqrt{5}$
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15155
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A
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15156
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D
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15157
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B
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15158
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D
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15159
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(1) 证明略; (2) $8\sqrt{3}$
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15160
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(1) $[1,+\infty)$; (2) $10216$
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15161
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(1) $\dfrac 13$; (2) $1.2$
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15162
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(1) $2$; (2) $(-1,\dfrac 74)$; (3) 是定值$\sqrt{6}$
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15163
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(1) $(1,+\infty)$; (2) $[-1,\dfrac 32]$; (3) 证明略
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15164
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$\{-1,1\}$
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15165
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$10$
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15166
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$\dfrac 12$
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15167
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$18\pi$
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15168
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$2$
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15169
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$0.2$
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15170
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$12$
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15171
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$\dfrac 14$
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15172
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$[-2,+\infty)$
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15173
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$\sqrt{2}$
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15174
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$[\dfrac 76,\dfrac{15}2]$
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15175
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$\dfrac{-3\pm \sqrt{6}}6$
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15176
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D
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15177
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C
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15178
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B
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15179
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C
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15180
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(1) $\dfrac 13$; (2) $8\sqrt{2}$
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15181
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(1) 证明略; (2) $\dfrac{4\sqrt{21}}{21}$
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15182
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(1) $0.01998$; (2) 分布为$\begin{pmatrix}0 & 1 & 2 & 3 \\ 0.00000 & 0.00030 & 0.02940 & 0.97030 \end{pmatrix}$, 期望为$2.97$
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15183
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(1) 离心率为$\dfrac{\sqrt{5}}2$, 渐近线方程为$y=\pm \dfrac 12 x$; (2) $1$; (3) 证明略
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15184
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(1) $-4$; (2) 存在切线$l_2$与$l_1$垂直, 理由略; (3) $(\dfrac{3-\sqrt{5}}{2},\dfrac 12]\cup [2,\dfrac{3+\sqrt{5}}{2})$
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15185
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$\{2,4\}$
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15186
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$(-\infty,1)$
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15187
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$0.2$
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15188
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$(1,+\infty)$
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15189
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$\dfrac{2\sqrt{2}}3\pi$
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15190
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$1$
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15191
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$0.8$
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15192
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$4$
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15193
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$3$
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15194
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$[-1,1]$
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15195
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$3$
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15196
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$\dfrac{\sqrt{21}}{14}$
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15197
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D
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15198
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A
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15199
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C
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15200
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B
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15201
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(1) 证明略; (2) 分布为$\begin{pmatrix} 0 & 1 & 2 \\ \dfrac 3{10} & \dfrac 35 & \dfrac{1}{10}\end{pmatrix}$, 期望为$\dfrac 45$
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15202
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(1) 证明略; (2) $60^\circ$
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15203
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(1) $\lambda \approx 29.21$, 估计到$2023$年底该地新能源汽车保有量约$40.3$万辆; (2) $\hat{\lambda}\approx 29.67$, $\hat{r}\approx 0.32$
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15204
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(1) $\dfrac{x^2}4+\dfrac{y^2}3=1$; (2) $1$; (3) 值恒为$-3$, 证明略
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15205
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(1) 振幅为$\sqrt{2}$, 周期为$2\pi$, 初相位为$\dfrac{\pi}{4}$; (2) $(\dfrac{\pi}{3},\dfrac{5\pi}3]$; (3) $(0,1)$
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15206
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$\{1\}$
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15207
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$5$
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15208
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$-1$
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15209
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$0.94$
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15210
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$-\dfrac{24}{7}$
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15211
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$28$
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15212
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$50$
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15213
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$\dfrac 13$
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15214
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$\dfrac 8{11}$
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15215
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$9$
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15216
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$\dfrac{\sqrt{2}}2$
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15217
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$\sqrt{15}a$
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15218
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B
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15219
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B
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15220
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C
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15221
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B
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15222
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(1) $\dfrac \pi 3$; (2) $\dfrac 32$
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15223
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(1) 证明略; (2) $\arctan\dfrac{2\sqrt{5}}5$
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15224
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(1) $43.3$亿元; (2) (i) 全款购车两年后资产总额为$0.0322a$万元, 分期付款购车两年后资产总额为$0.0233a$万元, 应选择全款购车; (ii) $a<21.2134$, 这一措施对购买A, B, C车型有效
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15225
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(1) $C_1:\dfrac{x^2}2+y^2=1$, $C_2:\dfrac{x^2}2-y^2=1$; (2) $y=\dfrac 12 x$或$y=-\dfrac 12 x$; (3) $2$
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15226
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(1) $g(x)=f(h(x))$; (2) 导函数为$2(2x)^{2x}(1+\ln (2x))$, 最小值为$(\dfrac 1{\mathrm{e}})^{\frac 1{\mathrm{e}}}$; (3) 证明略
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