2089 lines
24 KiB
Plaintext
2089 lines
24 KiB
Plaintext
ans
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040939
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$\sqrt{5}$,$\quad(2,-1)$
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040940
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$(x-2)^2+(y-4)^2=16$ 或$ (x-6)^2+(y-4)^2=16$ 或 $(x+2)^2+(y-4)^2=16 $或$ (x-2)^2+(y+4)^2=16$
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040941
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$3x-4y-2=0$或$x=2$
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040942
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$x-\sqrt{3}y+2=0$
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040943
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$2x+3y+12=0$或$2x+3y-14=0$
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040944
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$[2-\sqrt{3},2+\sqrt{3}]$
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040945
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$(-\infty,\dfrac{-4-2\sqrt{3}}{3}]\cup[\dfrac{-4+2\sqrt{3}}{3},+\infty)$
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040946
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$[1,\sqrt{2})$
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040947
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$x^2+(y\pm2\sqrt{3})^2=9$
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040948
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$\dfrac{x^2}{15}+\dfrac{y^2}{5}=1$或$\dfrac{x^2}{5}+\dfrac{y^2}{10}=1$
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040949
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$\dfrac{x^2}{25}+\dfrac{y^2}{9}=1$或$\dfrac{x^2}{9}+\dfrac{y^2}{25}=1$
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040950
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$x=0\quad (-3\leq y \leq 3)$
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040951
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$\dfrac{4}{3}$
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040952
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\\(1)$l$的斜率不存在$x=10$, 舍\\(2)$5x-12y-38=0$或$3x+4y-34=0$
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040953
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\\(1)相交; \\(2)$\sqrt{3}x-y+1-\sqrt{3}=0$或$-\sqrt{3}x-y+1+\sqrt{3}=0$\\(3)$x(x-1)+(y-1)^2=0 (x\neq1)$
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040954
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\\(1)$(x-1)^2+(y-\dfrac{1}{2})^2=\dfrac{5}{4}$\\(2)m=3 或 m=$-\dfrac{1}{3}$
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040955
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\\(1)$S(k)=\dfrac{4\sqrt{2}\sqrt{k^2(1-k^2)}}{1+k^2},\quad k\in(-1,0)\cup(0,1)$\\(2)$k=\pm \dfrac{\sqrt{3}}{3}$
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040956
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6
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023839
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$\dfrac{5}{4}$
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040957
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$(-5,5)$
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040958
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$\dfrac{3}{2}\sqrt{2}$
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040959
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$\pm \dfrac{\sqrt{6}}{3}$
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040960
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$(-\dfrac{41}{9},\dfrac{40}{9})$
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040961
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$\dfrac{\sqrt{2}}{2}$
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040962
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$16x^2-96x+25y^2-50y=0 $\quad(点在$\dfrac{x^2}{25}+\dfrac{y^2}{16}=1$内)
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040963
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$y=x\pm\dfrac{\sqrt{30}}{4}$
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040964
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13
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040965
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$(0,\pm5),y=\pm\dfrac{4}{3}x$
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040966
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$\dfrac{x^2}{16}-\dfrac{y^2}{9}=1$或$\dfrac{y^2}{9}-\dfrac{x^2}{16}=1$
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040967
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\\(1)16\\(2)[2,9]\\(3)$S=3\sqrt{3}$
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040968
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\\(1)$|PQ|_{max}=6$\\(2)$|PQ|_{max}=\begin{cases}
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t+1 \quad ,\ t\geq3\\
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2\sqrt{1+\dfrac{t^2}{3}},\quad \ 0\leq t \leq 3\\
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\end{cases}$
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040969
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\\(1)$(-\dfrac{9}{5},\dfrac{1}{5})\\(2)S=\dfrac{3}{5}\sqrt{6}$
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040970
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$\\(1)\dfrac{x^2}{4}+\dfrac{y^2}{3}=1$\\(2)存在,方程为$y=\pm\dfrac{\sqrt{3}}{4}(x-3)$
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040965
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$(0,\pm 5\sqrt{2}),y=\pm\dfrac{4}{3}$
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041052
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$(-\infty,-4)\cup(-3,3)$
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041053
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$(-\infty,-3)\cup(-3,+\infty)$
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041054
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$\dfrac{x^2}{\dfrac{81}{13}}-\dfrac{y^2}{\dfrac{36}{13}}=\pm1, \dfrac{x^2}{2}-\dfrac{y^2}{2}=\pm 1$
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041055
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-$\dfrac{1}{9}$
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041056
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$arctan\dfrac{4}{3},\quad\dfrac{8}{3}\sqrt{3}$或8
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041057
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3或15
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041058
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$\dfrac{b}{2a}(a^2+b^2)$
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002376
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$\dfrac{y^2}{2}-\dfrac{x^2}{4}=1$
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041059
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$(-\dfrac{2\sqrt{3}}{3},-1)\cup(1,\dfrac{2\sqrt{3}}{3})$
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041060
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$[-\dfrac{\sqrt{3}}{3},\dfrac{\sqrt{3}}{3}],\quad(-\infty,0)\cup(1,+\infty)$
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016660
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$(x-5)^2+y^2=16$
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041061
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$y=\dfrac{1}{2}x\pm\dfrac{\sqrt{66}}{2}$
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041062
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$x^2-\dfrac{y^2}{15}=1\quad(x\geq0)$
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041063
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$\\(1)k\geq0$时, 双曲线\\(2)$k=0$时, $y=0$\\(3)$k\leq0$且$k\neq-1$时, 椭圆\\(4)$k=-1$时, 圆
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041064
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$\\m=4\\S=\sqrt{3}$
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ans
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012360
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$\dfrac{\pi}{3}$
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023093
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$\frac{\pi}{4}$或$\frac{3\pi}{4}$.
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023094
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$3\pi$.
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023095
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$4\sqrt{3}$.
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023096
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$\sqrt{2}$.
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023097
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\textcircled{1},\textcircled{3}.
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023098
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$5$.
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023099
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$21$.
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023100
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$32\pi$.
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023101
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$3\sqrt{3}$.
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023102
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$6$.
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023103
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$\frac{\pi}{6}$.
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023104
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A.
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023105
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C.
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023106
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(1)略; (2)$\arccos\frac{31}{34}$;(3)$\pi-\arctan\frac{\sqrt{51}}{12}$.
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023107
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(1)略; (2)$\frac{1}{6}$;(3)$[\frac{21}{2},15]$.
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009305
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(1)$x^{15}$,$-15x^{14}$,$105x^{13}$,$-455x^{12}$\\
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(2)$-2099520a^9b^14$
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009306
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(1)$\dfrac{105}{8}$;(2)$-252$
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009309
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$120$
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009308
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证明略
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009317
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(1)第$18$,$19$项; \\
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(2)$\mathrm{C}_{35}^{27}3^{27}x^{27}$
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009319
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证明略
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021093
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(1)$\dfrac{1}{45}$;(2)$\dfrac{7}{10}$
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022919
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(1)$\dfrac{1}{36}$;(2)$\dfrac{1}{18}$;(3)$\dfrac{5}{12}$
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021095
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(1)$\dfrac{1}{68880}$;(2)$\dfrac{1}{11480}$
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021096
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$\dfrac37$
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021097
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$\dfrac{1}{12}$
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021098
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$\dfrac{18}{25}$
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021099
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$\dfrac{2}{5}$
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021101
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$\dfrac{11}{12}$
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021102
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$\dfrac{3439}{10000}$
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021103
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$\dfrac{n!}{n^n}$
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021104
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$\dfrac{1}{15}$
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021105
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$\dfrac15$
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021106
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(1)$\dfrac{11}{42}$;(2)$\dfrac{31}{42}$
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021107
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(1)$\dfrac{1279}{1785}$;(2)$\dfrac{59049}{139075300}$
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021108
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(1)$\{5,7,9\}$;(2)$\{0,2,4,5,6,7,8,9\}$;(3)$\emptyset$
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021109
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B
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021110
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(1)$\{1,2,3,4\}$;(2)A
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021111
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(1)$\{1,2,3,4\}$;(2)A
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021112
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充分非必要
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021113
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(1)$A\cup B$;(2)$A \cap \overline{B}$;(3)$(A \cap \overline{B}) \cup(\overline{A} \cap B) $
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021114
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$B\subseteq \overline{A}$,$\overline{A}\cup \overline{B}=\omega$
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021116
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(1)$\dfrac12$;(2)$\dfrac56$;(3)$\dfrac23$;(4)$\dfrac56$
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021117
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(1)不是;(2)$0.94$
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021125
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(1)$(A\cap B \cap \overline{C})\cup (A \cap \overline{B} \cap C)\cup (\overline{A} \cap B \cap C)\cup (A \cap B \cap C)$;
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(2)$\overline{A\cap B \cap C }$;
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(3)$(A\cap B \cap \overline{C})\cup (A \cap \overline{B} \cap C)\cup (\overline{A} \cap B \cap C)$
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021118
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$\dfrac47$,$\dfrac27$,$\dfrac17$,$\dfrac67$,$\dfrac67$,$\dfrac57$
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019932
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(1)$\dfrac34$;(2)$\dfrac1{13}$;(3)$\dfrac12$;(4)$\dfrac{51}{52}$
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021119
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$\dfrac45$
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021120
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$\dfrac35$
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021121
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$\dfrac14$,$\dfrac16$,$\dfrac14$
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021122
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$0.9$,$0.1$
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018762
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证明略
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021126
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大数定律
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021127
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$\dfrac{73}{75}$
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021128
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$\dfrac34$,$\dfrac{9}{44}$,$\dfrac{9}{220}$.$\dfrac{1}{220}$
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021129
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(1)$0.46$;(2)$0.51$;(3)$0.97$
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021130
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(1)$0.852$;(2)$25560$;(3)$5869$
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021131
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(1)$0.1,0.06,0.025,0.02,0.02,0.02$;(2)$0.02$;(3)$40$
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021132
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(1)$30\%$;(2)$53\%$;(3)$73\%$;(4)$14\%$;(5)$90\%$;(6)$10\%$;
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021133
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(1)$\dfrac13$;(2)$\dfrac14$
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021134
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C
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021135
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(1)$\dfrac56$;(2)$\dfrac16$;(3)$\dfrac23$;(4)$\dfrac12$
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021136
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(1)$0.995$;(2)$0.095$
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021137
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(1)$7:1$;(2)$11:5$
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021138
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$0.328$
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021139
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$(\dfrac23,1)$
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021140
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(1)$\dfrac38$,$\dfrac23$;(2)$\dfrac{21}{32}$
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021141
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D
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021142
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D
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021143
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A
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021144
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A
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021145
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\textcircled{2}
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021146
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总体是$2487$万人的年龄, 样本是$24000$个常住居民的年龄, 样本量是$24000$
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021147
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观测, 观测, 实验
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021148
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不可靠, 样本容量太小, 样本不一定具有代表性
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021149
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$2$
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021150
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$122$
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021151
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$a=b=10.5$
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021152
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平均值是$17$,方差是$27$
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021153
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平均数是$72.0$, 中位数是$70$, 方差是$74.9$
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021154
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$\dfrac{n}{N}$
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021155
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B
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021156
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20
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021157
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C
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021158
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$4467$
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021159
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(1)抽签法;(2)分层抽样
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021160
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$49,04,40,36,16,08,06,55,33,69$
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021161
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样本容量为$92$, 抽样人数为$31$
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021162
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略
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021163
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分层抽样, 高一抽$18$人, 高二抽$22$人, 高三抽$10$人
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021164
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C
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021165
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$4$,$5.14$
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021166
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$0.32$,$96$
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021167
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$300$
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021168
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集中, 分散, $6.88$,$12.43$
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021169
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\begin{tabular}{c|ccccccc}
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8 & 9 \\
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9 & 3 & 4 & 6 & 7 \\
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10 & 0 & 0 & 1 & 1 & 3 & 5 & 8\\
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11 & 0 & 2
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\end{tabular}
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021170
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略
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021171
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略
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021172
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D
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021173
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$35$
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021174
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$12$
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021177
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C
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021179
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\textcircled{1},\textcircled{2}
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021180
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A
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021175
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甲更准, 乙更稳定
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021176
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(1)$3.47$,(2)$2773$
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021178
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$100$
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021181
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(1)$9.5$;(2)不能
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021182
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平均成绩是$89.6$, 总体方差是$12.09$
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023356
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$A\subset C\subset B \subset E \subset D \subset G$;$E \subset F \subset G$
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023357
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全错
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023358
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$\dfrac{72\sqrt{21}}7$
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023359
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(1)$\dfrac16$;(2)
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023360
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$2\sqrt{15}$或$4\sqrt{6}$
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023361
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略
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023362
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$\frac{b^2-a^2}{\sqrt{a^2+b^2} \cdot \sqrt{a^2+b^2+c^2}}$.
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023363
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(1) $\frac{1}{2}$; (2) $\frac{\pi}{3}$.
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023364
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(1) 略; (2) $\arcsin{\frac{3\sqrt{2}}{10}}$; (3) $\frac{24\sqrt{41}}{41}$
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023365
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略
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023366
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$\sqrt{41}$
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023367
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(1) 略; (2) $\frac{\pi}{4}$.
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023368
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$8\sqrt{3}$.
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003494
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(1) 略; (2) $3$; (3) $108\sqrt{3}$.
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023369
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(1) $48$; (2) $16\sqrt{3}+8\sqrt{21}+40$
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023370
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(1) 略; (2) $\frac{1}{3}$; (3) $\frac{\sqrt{2}}{2}+\frac{\sqrt{6}}{2}$.
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023108
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C
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023109
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1; 4.
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023110
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8; 4.
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023111
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$M \in a$,$M \notin \alpha$.
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023112
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$\{1,4,6\}$.
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023113
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$D$.
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023114
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$C$.
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023115
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$A$.
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023116
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1个或者无数个
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023117
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平行四边形
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023118
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10
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023119
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\textcircled{1}, \textcircled{2} ,\textcircled{4}, \textcircled{5}.
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023120
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$D$.
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012345
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$D$.
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023121
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(1)略; (2)略.
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023122
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略.
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023123
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略.
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023124
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$\frac{5(\sqrt{6}-1)}{2} $.
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023125
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$\sqrt{2}+2\sqrt{13}$.
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023126
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(1) F ; (2) F; (3) F; (4) T; (5) T; (6) T; (7) T; (8) F.
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023127
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(1) T ; (2) F; (3) F; (4) F; (5) F.
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023128
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异面或者平行.
|
|
|
|
023129
|
|
(1) 平行; (2) 异面.
|
|
|
|
023130
|
|
相交或者平行.
|
|
|
|
023131
|
|
充分不必要.
|
|
|
|
023132
|
|
4个.
|
|
|
|
023133
|
|
$45^{\circ}$; $30^{\circ}$或$60^{\circ}$.
|
|
|
|
023134
|
|
(1) $\frac{\pi}{3}$; (2) $\arccos \frac{\sqrt{10}}{10}$; (3) $\arccos \frac{\sqrt{10}}{5}$.
|
|
|
|
023135
|
|
\textcircled{1} \textcircled{4}.
|
|
|
|
023136
|
|
$\frac{a}{3}$.
|
|
|
|
012345
|
|
D
|
|
|
|
023137
|
|
B
|
|
|
|
023138
|
|
略.
|
|
|
|
023139
|
|
略.
|
|
|
|
023140
|
|
$\frac{\pi}{4}$或$\frac{\pi}{3}$.
|
|
|
|
023141
|
|
(1) 点 $P$ 在$C$点; (2) 点 $P$ 在距离$C$点$\frac{16}{5}$.
|
|
|
|
023142
|
|
$\frac{\sqrt{39}}{2}$.
|
|
|
|
016740
|
|
1.
|
|
|
|
016731
|
|
8.
|
|
|
|
023143
|
|
$\arctan\frac{1}{5}$或者$\arctan\frac{4}{5}$.
|
|
|
|
023144
|
|
$\arctan\frac{2\sqrt{5}}{5}$.
|
|
|
|
017767
|
|
2
|
|
|
|
023145
|
|
$\sqrt{6}$.
|
|
|
|
023146
|
|
$\frac{\sqrt{3}}{3}$.
|
|
|
|
023147
|
|
$[ 30,90 ]$.
|
|
|
|
023148
|
|
(1) $\frac{\sqrt{15}}{5}$; (2) $\frac{\pi}{6}$.
|
|
|
|
023149
|
|
$\frac{\sqrt{3}}{2}$.
|
|
|
|
023150
|
|
$\frac{2}{3}$.
|
|
|
|
023151
|
|
(1) $\arctan \frac{\sqrt{5}}{5}$; (2) $\arccos \frac{\sqrt{30}}{10}$; (3) 在 $BC$ 边上存在一点 $G$, $BG$的值为1.
|
|
|
|
023152
|
|
(1) 略; (2) $\arcsin \frac{\sqrt{21}}{7}$; (3) 存在 $P$, 使得 $DE \parallel $ 平面 $BMP$, $\dfrac{AP}{DP}$ 的值3.
|
|
|
|
031552
|
|
$\frac{\sqrt{10}}{5}$
|
|
|
|
003489
|
|
(1) $\arcsin \frac{\sqrt{6}}{3}$; (2) $\arcsin \frac{\sqrt{3}}{3}$; (3) $\frac{\pi}{4}$.
|
|
|
|
023153
|
|
(1) $\frac{\sqrt{6}}{3}$; (2) $\frac{\sqrt{6}}{6}$; (3) $\frac{\sqrt{6}}{6}$.
|
|
|
|
003456
|
|
$\frac{3\sqrt{5}}{5}$.
|
|
|
|
003457
|
|
$\frac{\pi}{3}$或$\frac{2\pi}{3}$.
|
|
|
|
023154
|
|
1或3.
|
|
|
|
023155
|
|
$\frac{\pi}{3}$.
|
|
|
|
023156
|
|
\textcircled{1}\textcircled{2}\textcircled{3}\textcircled{5}.
|
|
|
|
023157
|
|
B
|
|
|
|
023158
|
|
B
|
|
|
|
023159
|
|
A
|
|
|
|
023160
|
|
$\frac{\pi}{3}$.
|
|
|
|
023161
|
|
4.3
|
|
|
|
023162
|
|
(1) 略; (2) $\frac{\sqrt{3}}{2}$; (3) $\arcsin \frac{2\sqrt{5}}{5}$.
|
|
|
|
023163
|
|
(1) $\frac{\pi}{2}$; (2) $\frac{\pi}{3}$.
|
|
|
|
023164
|
|
(1) 四边形 $MNDC$为矩形; (2) $\arctan \frac{\sqrt{2}}{2}$; (3) $\frac{\sqrt{2}}{2}$.
|
|
|
|
023165
|
|
(1) 异面直线 $D_1E$ 与 $A_1D$ 所成角的大小不会随点 $E$ 的移动而改变, 所成角为$\frac{\pi}{2}$; \\(2) 点 $E$距离点 $A$ 为$2-\sqrt{3}$, 二面角 $D_1-EC-D$ 的大小为 $\dfrac{\pi}{4}$; \\(3) 直线 $AD_1$ 平行于 平面 $B_1DE$.
|
|
|
|
023166
|
|
\textcircled{2}\textcircled{3}
|
|
|
|
023167
|
|
$75^{\circ}$
|
|
|
|
010502
|
|
arctan$\frac{\sqrt{5}}{5}$
|
|
|
|
023168
|
|
arccos$\frac{2}{3}$
|
|
|
|
023169
|
|
$\frac{\pi}{4}$
|
|
|
|
023170
|
|
$\sqrt{41}$或$13$
|
|
|
|
023171
|
|
$6$或$1.5$
|
|
|
|
023172
|
|
$30^{\circ}$
|
|
|
|
023173
|
|
$3.5cm$
|
|
|
|
023174
|
|
$\frac{\sqrt{2}}{2}$
|
|
|
|
023175
|
|
B
|
|
|
|
023176
|
|
$A$
|
|
|
|
023177
|
|
$D$
|
|
|
|
023178
|
|
$(1)$略; $(2)\frac{\sqrt{14}}{14}$
|
|
|
|
023179
|
|
$(1)\frac{\pi}{6};(2)arccos\frac{\sqrt{3}}{3}$
|
|
|
|
023180
|
|
$(1)$略; $(2)arctan\frac{\sqrt{6}}{2}$;$(3)$略; $(4)\frac{\sqrt{2}}{6}$
|
|
|
|
023181
|
|
无
|
|
|
|
011402
|
|
A
|
|
|
|
023182
|
|
B.
|
|
|
|
023183
|
|
2.
|
|
|
|
023184
|
|
5.
|
|
|
|
023185
|
|
$\sqrt{29}$.
|
|
|
|
023186
|
|
$\frac{\pi}{6}$.
|
|
|
|
023187
|
|
$\frac{15\sqrt{3}}{2}$
|
|
|
|
017677
|
|
$DM\perp PC$(或$BM\perp PC$)
|
|
|
|
023188
|
|
\textcircled{1}\textcircled{2}\textcircled{4}
|
|
|
|
023189
|
|
(1)略; (2)$arccos\frac{\sqrt{15}}{5}$
|
|
|
|
023190
|
|
(1)略; (2)6.
|
|
|
|
023191
|
|
$S=\begin{cases}\frac{1}{2cos\alpha},\quad\alpha\in(0,arctan\sqrt{2}]\\ \frac{\sqrt{2}-cot\alpha}{sin\alpha},\alpha\in(arctan\sqrt{2},\frac{\pi}{2}]\end{cases}$
|
|
|
|
023192
|
|
(1)略; (2)$\frac{2\sqrt{6}}{3}$.
|
|
|
|
023193
|
|
$8$.
|
|
|
|
023194
|
|
$arctan\frac{\sqrt{3}}{2}$.
|
|
|
|
023195
|
|
$64.$
|
|
|
|
023196
|
|
$arctan\sqrt{2}$.
|
|
|
|
023197
|
|
$10.$
|
|
|
|
023198
|
|
$(1)$外心; $(2)$内心; $(3)$垂心.
|
|
|
|
023199
|
|
$\sqrt{3}$
|
|
|
|
023200
|
|
$48$.
|
|
|
|
023201
|
|
$\frac{6}{7}$.
|
|
|
|
023202
|
|
A.
|
|
|
|
023203
|
|
$S=32,V=16$.
|
|
|
|
023204
|
|
$\frac{2\sqrt{11}}{11}$.
|
|
|
|
023205
|
|
$(1)$略; $(2)\frac{5}{3}$.
|
|
|
|
023206
|
|
$(1)V=a^2;(2)$\textcircled{1}$\frac{\sqrt{51}}{9}$;\textcircled{2}$\frac{\sqrt{30}}{3}$.
|
|
|
|
023207
|
|
$\sqrt{29}$.
|
|
|
|
023208
|
|
$\frac{\sqrt{6}}{3}$.
|
|
|
|
023209
|
|
$arctan\frac{\sqrt{5}}{5}$.
|
|
|
|
023210
|
|
$arccos\frac{2}{3}$.
|
|
|
|
023211
|
|
$\frac{\pi}{6}$.
|
|
|
|
023212
|
|
$\frac{15\sqrt{3}}{2}$.
|
|
|
|
023213
|
|
$3\pi^2$或$\frac{9}{2}\pi^2$.
|
|
|
|
023214
|
|
$\frac{\sqrt{3}}{2}a$.
|
|
|
|
023215
|
|
$\pi$.
|
|
|
|
023216
|
|
$\sqrt{2}:1$.
|
|
|
|
023217
|
|
$1:4:9$.
|
|
|
|
023218
|
|
$\frac{8}{3}\pi$.
|
|
|
|
023219
|
|
$12:15:20$.
|
|
|
|
023220
|
|
$576$.
|
|
|
|
023221
|
|
$\theta_{min}=\pi-arctan\frac{4}{3}$,此时$P$ 在线段 $A_1C_1$ 的中点.
|
|
|
|
023222
|
|
略.
|
|
|
|
023223
|
|
$(1)$略; $(2)arctan\sqrt{2}$;$(3)$是, $\frac{\sqrt{6}}{24}$.
|
|
|
|
023224
|
|
$P^{6}_{20-m}$.
|
|
|
|
023225
|
|
$60$.
|
|
|
|
023226
|
|
$48$.
|
|
|
|
023227
|
|
$6$.
|
|
|
|
023228
|
|
$3$.
|
|
|
|
023229
|
|
$156$.
|
|
|
|
023230
|
|
$103$.
|
|
|
|
023231
|
|
$48$.
|
|
|
|
023232
|
|
$(\frac{2}{3},1)$.
|
|
|
|
023233
|
|
$a_{n}=\begin{cases}2-a,n=1 \\2^{n-1},n\geq2
|
|
\end{cases}$.
|
|
|
|
023234
|
|
(1)$m=9$;(2)$k_{n}=3^{n+1}+2$.
|
|
|
|
023235
|
|
$(-\frac{1}{11},-\frac{1}{19})$.
|
|
|
|
023236
|
|
(1)略; (2)$S_{n}=\frac{2}{3}-(n+\frac{2}{3})(\frac{1}{4})^{n}$;(3)$(-\infty,-5]\cup[1,+\infty)$.
|
|
|
|
023237
|
|
$1716$.
|
|
|
|
023238
|
|
5或8.
|
|
|
|
023239
|
|
$x=15,y=5$.
|
|
|
|
023240
|
|
21.
|
|
|
|
023241
|
|
6.
|
|
|
|
016908
|
|
12.
|
|
|
|
023242
|
|
540.
|
|
|
|
023243
|
|
2880.
|
|
|
|
023244
|
|
200.
|
|
|
|
023245
|
|
$-1$.
|
|
|
|
023246
|
|
$2^{n-1},n\in \mathbf{N}$且$n\ge1$.
|
|
|
|
023247
|
|
$2^{n-1},n\in \mathbf{N}$且$n\ge1$.
|
|
|
|
023248
|
|
$7(\frac{1}{3})^{n-1}-6,n\in \mathbf{N}$且$n\ge1$.
|
|
|
|
023249
|
|
$765$.
|
|
|
|
023250
|
|
(1)58409520;(2)6275430;(3)64684945;(4)64682995.
|
|
|
|
023251
|
|
$92$.
|
|
|
|
023252
|
|
(1)$a_n=\frac{2}{n+1}$;(2)$a_n=2\cdot3^{n-1}-1$;(3)$a_n=2^n-1$;(4)$a_n=\begin{cases}2,n=4k-3 \\-3,n=4k-2\\-\frac{1}{2},n=4k-1\\\frac{1}{3},n=4k\end{cases}\ \ \ \ \ ( k\in \mathbf{N}$且$k\ge1)$
|
|
|
|
023253
|
|
(1)不是; (2)最大项为$a_3=a_4=20$.
|
|
|
|
022570
|
|
(1)$2$;(2)存在, $N=22$.
|
|
|
|
022572
|
|
$S_n=(n-1)\cdot3^n+1$.
|
|
|
|
023254
|
|
(1)第$16$项; (2)$b_n=3\cdot2^n+1$.
|
|
|
|
023255
|
|
(1)略; (2)$a_n=\begin{cases}
|
|
\frac{1}{2},n=1\\-\frac{1}{2n(n-1)},n\geq2
|
|
\end{cases}$
|
|
|
|
023256
|
|
$\frac{3}{5}$
|
|
|
|
023257
|
|
$\frac{3}{7}$
|
|
|
|
023258
|
|
$\frac{1}{35}$
|
|
|
|
031430
|
|
$\frac{14}{33}$
|
|
|
|
017716
|
|
$\frac{3}{10}$
|
|
|
|
017041
|
|
$\frac{3}{4}$
|
|
|
|
023259
|
|
$\frac{2}{7}$
|
|
|
|
023260
|
|
$\frac{2}{27}$
|
|
|
|
023261
|
|
$\frac{9}{10}$
|
|
|
|
023262
|
|
$-49$
|
|
|
|
023263
|
|
$12$
|
|
|
|
023264
|
|
$\frac{5}{6}$
|
|
|
|
023265
|
|
(1) $d_1, d_2, d_3$ 的值分别为2,3,6;\\
|
|
(2) 略; (3) 略.
|
|
|
|
023266
|
|
$0.54$
|
|
|
|
023267
|
|
$\dfrac{5}{36}$; $\dfrac{5}{12}$
|
|
|
|
023268
|
|
$\dfrac{3}{8}$; $\dfrac{7}{8}$
|
|
|
|
023269
|
|
$0.88$
|
|
|
|
023270
|
|
$0.9$
|
|
|
|
023271
|
|
$7$或$8$
|
|
|
|
002651
|
|
$7$
|
|
|
|
023272
|
|
(1) F; (2) F; (3) T; (4) F.
|
|
|
|
023273
|
|
(1) $\dfrac{4}{15}$; (2) $\dfrac{11}{15}$
|
|
|
|
023274
|
|
(1) $\dfrac{70}{323}$; (2) $\dfrac{728}{969}$; (3) $\dfrac{27}{128}$
|
|
|
|
023275
|
|
(1) $\dfrac{211}{3456}$; (2) $\dfrac{7}{10}$; (3) $\dfrac{1}{15}$
|
|
|
|
023276
|
|
(1) $c_n=2n-1$; (2) $S_n=1+(n-1)3^n$
|
|
|
|
023277
|
|
$18$
|
|
|
|
023278
|
|
B
|
|
|
|
023279
|
|
A
|
|
|
|
023280
|
|
C
|
|
|
|
023281
|
|
B
|
|
|
|
023282
|
|
C
|
|
|
|
023283
|
|
$55$
|
|
|
|
023284
|
|
$50$; $1015$
|
|
|
|
023285
|
|
$3$
|
|
|
|
023286
|
|
$n=1$时, $a_n=5$; $n \geq 2$时, $a_n=2n-2$
|
|
|
|
023287
|
|
$2^n+3$
|
|
|
|
023288
|
|
$1049410$
|
|
|
|
023289
|
|
$19$
|
|
|
|
023290
|
|
(1) $0.5$; (2) $\frac{3}{16}$; (3) 略
|
|
|
|
023291
|
|
(1) $\{a_n\}-3n+15$; (2) $T_n=\frac{1}{6}(\frac{3}{2}-\frac{1}{n+1}-\frac{1}{n+2})$
|
|
|
|
023292
|
|
(1) $P_3=-2p^3+3p^2$; $P_4=4p^3-3p^4$; (2) 当$0<p<\frac{1}{2}$时,做一道且及格的概率最大; 当$p=\frac{1}{2}$时,做一道或者三道且及格的概率最大; 当$\frac{1}{2}<p<1$时,做三道且及格的概率最大.
|
|
|
|
023293
|
|
(1)$k=-1;$(2)$n=57,58;$(3)$T_n\in[\frac{1}{4},\frac{1}{3})$).
|
|
|
|
023294
|
|
(1) 略; (2) $\sqrt{2}$
|
|
|
|
023295
|
|
(1) $\frac{2}{3}$; 在 $BC$ 边上存在一点 $G$, 使得点 $D$ 到平面 $PAG$ 的距离为 $\sqrt{2}$, $|BG|=1$; (3) $|HB|=\frac{\sqrt{5}}{3}$.
|
|
|
|
023296
|
|
A
|
|
|
|
023297
|
|
B
|
|
|
|
023298
|
|
C
|
|
|
|
023299
|
|
D
|
|
|
|
023300
|
|
C
|
|
|
|
023301
|
|
C
|
|
|
|
023302
|
|
$0.325$; $81.5$
|
|
|
|
017209
|
|
$0.98$
|
|
|
|
023303
|
|
4; $\sqrt{3}$
|
|
|
|
023304
|
|
$1$
|
|
|
|
023305
|
|
(1) $0.04$; (2) $440$.
|
|
|
|
023306
|
|
\textcircled{1}\textcircled{4}
|
|
|
|
023307
|
|
$100$ 名观众的样本平均数和方差分别约为$19.9$ 和$15.1$, 估计所有观众新闻类节目收看时长的总体方差约为$15.1$.
|
|
|
|
023308
|
|
(2) 二级; (3) $4400$
|
|
|
|
023309
|
|
$36\pi$
|
|
|
|
023285
|
|
$3$
|
|
|
|
023310
|
|
$[\frac{\pi}{3},\frac{\pi}{2}]$
|
|
|
|
023311
|
|
$3$
|
|
|
|
023312
|
|
$\frac{\sqrt{2}a}{2}$
|
|
|
|
023313
|
|
C
|
|
|
|
023314
|
|
B
|
|
|
|
023315
|
|
(1) $\frac{\sqrt{6}}{3}$; (2) $\frac{3\sqrt{2}}{2}$; (3) $\frac{\sqrt{6}}{3}$
|
|
|
|
023316
|
|
$1047.2$立方厘米
|
|
|
|
023317
|
|
(1) $S_n=2^n-1$; (2) $T_n=2^{n+1}-2-n$
|
|
|
|
023318
|
|
$10$
|
|
|
|
023319
|
|
$\frac{2}{5}$
|
|
|
|
023320
|
|
$19$
|
|
|
|
023321
|
|
$\dfrac{6}{\pi}$
|
|
|
|
023322
|
|
$84$
|
|
|
|
023323
|
|
$480$
|
|
|
|
023324
|
|
$a$
|
|
|
|
023325
|
|
$2\pi$
|
|
|
|
023326
|
|
$2$
|
|
|
|
023327
|
|
$\frac{33}{40}$
|
|
|
|
023328
|
|
$2$
|
|
|
|
023329
|
|
$1440$
|
|
|
|
023330
|
|
$\frac{8}{15}$
|
|
|
|
023331
|
|
$6\sqrt{3}$
|
|
|
|
023332
|
|
$8:27$
|
|
|
|
023333
|
|
$27$
|
|
|
|
014424
|
|
$13$
|
|
|
|
023334
|
|
$28$
|
|
|
|
023335
|
|
$\frac{5}{12}$
|
|
|
|
023336
|
|
$56-\frac{40\pi}{3}$
|
|
|
|
023337
|
|
$64$
|
|
|
|
023338
|
|
$\frac{\sqrt{3}}{4}$
|
|
|
|
023339
|
|
D
|
|
|
|
023340
|
|
A
|
|
|
|
023341
|
|
B
|
|
|
|
023342
|
|
C
|
|
|
|
023343
|
|
C
|
|
|
|
023344
|
|
D
|
|
|
|
023345
|
|
(1) $\frac{2}{3}$; (2) $\frac{1}{6}$
|
|
|
|
023346
|
|
(1) $-32$; (2) $-17$; (3) $-5$
|
|
|
|
023347
|
|
(1) $a, b$ 的值分别为$0.005,0.025$; (2) 估计这个 100 名候选者面试成绩的平均数和第 60 百分位数分别约为$69.5$和$71.7$; (3) $\frac{3}{5}$.
|
|
|
|
023348
|
|
(1) $\arccos \frac{1}{3}$; (2) $4\sqrt{3}+2$
|
|
|
|
023349
|
|
(1) $\{b_n\}=n-(-1)^n \cdot n^2$;
|
|
(2) \textcircled{1} $T_{10}=0$; \textcircled{2} $2575$
|
|
|
|
023350
|
|
$2352$
|
|
|
|
023351
|
|
$25 \times 2^{100}$
|
|
|
|
023352
|
|
$18$
|
|
|
|
023353
|
|
C
|
|
|
|
023354
|
|
$2\sqrt{3}$
|
|
|
|
023355
|
|
$\frac{85}{256}$
|
|
|
|
ans
|
|
|
|
041050
|
|
$2\sqrt{7}$, $(0,\pm \sqrt{7})$
|
|
|
|
040971
|
|
$2\sqrt{7}$, $(\pm \sqrt{7},0)$
|
|
|
|
041051
|
|
D
|
|
|
|
040972
|
|
$x=0(-3 \leq y \leq 3)$
|
|
|
|
040973
|
|
B
|
|
|
|
040974
|
|
$\dfrac{x^2}7+\dfrac{y^2}{16}=1$
|
|
|
|
040975
|
|
B
|
|
|
|
008878
|
|
D
|
|
|
|
008877
|
|
A
|
|
|
|
014470
|
|
$4\sqrt{3}$
|
|
|
|
040976
|
|
$\dfrac{x^2}{25}+\dfrac{y^2}{16}=1$或$\dfrac{x^2}7+\dfrac{y^2}{16}=1$
|
|
|
|
040977
|
|
(1)$\dfrac{x^2}{100}+\dfrac{y^2}{64}=1$;
|
|
(2)$\dfrac{x^2}6+\dfrac{y^2}4=1$
|
|
|
|
040978
|
|
(1)$k=7$;(2)$4<k<7$
|
|
|
|
040979
|
|
$5$,$8$,$6$,$\dfrac35$
|
|
|
|
008882
|
|
$(0,\pm5)$
|
|
|
|
021195
|
|
$20$
|
|
|
|
021196
|
|
$\dfrac{x^2}{15}+\dfrac{y^2}{10}=1$
|
|
|
|
040980
|
|
$\dfrac{x^2}{\dfrac{625}{16}}+\dfrac{y^2}{34}=1$
|
|
|
|
040981
|
|
$\dfrac35$
|
|
|
|
040982
|
|
$\dfrac{x^2}{25}+\dfrac{y^2}{16}=1$或$\dfrac{x^2}{16}+\dfrac{y^2}{25}=1$
|
|
|
|
008892
|
|
$\dfrac{x^2}9+\dfrac{y^2}{16}=1$
|
|
|
|
040983
|
|
$18$
|
|
|
|
040984
|
|
$1$
|
|
|
|
040985
|
|
(1)$10$;(2)$2$
|
|
|
|
040986
|
|
(1)$\dfrac{x^2}4+\dfrac{y^2}{8}=1$或$\dfrac{x^2}8+\dfrac{y^2}{4}=1$;\\
|
|
(2)$\dfrac{x^2}6+\dfrac{y^2}{10}=1$;\\
|
|
(3)$\dfrac{x^2}8+\dfrac{y^2}{32}=1$或$\dfrac{x^2}{68}+\dfrac{y^2}{17}=1$;\\
|
|
(4)$\dfrac{x^2}{40}+\dfrac{y^2}{4}=1$或$\dfrac{x^2}{36}+\dfrac{y^2}{40}=1$;\\
|
|
(5)$\dfrac{x^2}{10}+\dfrac{y^2}{5}=1$
|
|
|
|
021183
|
|
C
|
|
|
|
008883
|
|
D
|
|
|
|
040987
|
|
$\dfrac{x^2}{16}+\dfrac{y^2}{8}=1$
|
|
|
|
040988
|
|
$\dfrac{x^2}{10}+\dfrac{y^2}{5}=1(y\neq 0)$
|
|
|
|
040989
|
|
$2$,$\dfrac{2\pi}{3}$
|
|
|
|
008895
|
|
B
|
|
|
|
040990
|
|
$\dfrac{x^2}{4}+\dfrac{y^2}{3}=1(-2<x<0)$
|
|
|
|
040991
|
|
A
|
|
|
|
040992
|
|
$\dfrac{x^2}{36}+\dfrac{y^2}{16}=1(y \neq 0)$
|
|
|
|
008898
|
|
$\dfrac{x^2}{16}+\dfrac{y^2}{7}=1$
|
|
|
|
040993
|
|
$32-16\sqrt{3}$
|
|
|
|
008891
|
|
(1)$15$,$5$;(2)$(\dfrac{25}4,\pm \dfrac{3\sqrt{39}}{4})$
|
|
|
|
021197
|
|
$x\pm2\sqrt{6}y-5=0$
|
|
|
|
021184
|
|
$(-\sqrt{3},\sqrt{3})$
|
|
|
|
021185
|
|
$[\sqrt{2},\sqrt{3})$
|
|
|
|
021186
|
|
$[1,5)\cup(5,+infty)$
|
|
|
|
021187
|
|
$\sqrt{2}-1$
|
|
|
|
021198
|
|
$4x+9y-13=0$
|
|
|
|
021188
|
|
$(x-3)^2+(y-4)^2=4$
|
|
|
|
040994
|
|
$4$
|
|
|
|
021190
|
|
$(-\sqrt95,\sqrt15)$
|
|
|
|
021191
|
|
$k<-\sqrt{3}$或$k>\sqrt{3}$
|
|
|
|
040995
|
|
(1)$y=-\sqrt12+\sqrt34$;(2)$x+4y=0$(点在已知椭圆内);(3)$x^2+x+2y^2=0$
|
|
|
|
040996
|
|
$6\sqrt{5}$
|
|
|
|
021204
|
|
$\dfrac{\sqrt{2}}{2}$
|
|
|
|
021205
|
|
$2\sqrt{37}$,$2$
|
|
|
|
021206
|
|
$\dfrac{x^2}{25}+\dfrac{y^2}{75}=1$
|
|
|
|
021207
|
|
$\dfrac{x^2}{12}+\dfrac{y^2}{9}=1$或$\dfrac{x^2}{9}+\dfrac{y^2}{12}=1$
|
|
|
|
021208
|
|
$[-\sqrt{34},\sqrt{34}]$
|
|
|
|
021209
|
|
$\dfrac{\pi}3$
|
|
|
|
040997
|
|
$b\sqrt{a^2-b^2}$
|
|
|
|
040998
|
|
$8\sqrt{3}$
|
|
|
|
021212
|
|
$P(-6,-4)$,$d=\dfrac{22}{\sqrt{73}}$
|
|
|
|
021200
|
|
$\dfrac{x^2}{4}+y^2=1$
|
|
|
|
021201
|
|
$-\dfrac{5\sqrt{7}}{4}<x<\dfrac{5\sqrt{7}}{4}$
|
|
|
|
021202
|
|
$-\dfrac{2\sqrt{13}}{13}<m<\dfrac{2\sqrt{13}}{13}$
|
|
|
|
021203
|
|
(1)$\dfrac{x^2}{9}+\dfrac{y^2}{4}=1$;(2)$8x-9y+25=0$
|
|
|
|
040999
|
|
(1)$-6$;(2)$\dfrac{x^2}{a^2}-\dfrac{y^2}{ta^2}=1(x\neq \pm a)$;(3)$\dfrac{\sqrt{6}}{3}$;(4)$\dfrac{\sqrt{6}}{3}$或$\sqrt{6}$
|
|
|
|
041000
|
|
C,A,A
|
|
|
|
021222
|
|
(1)$\dfrac{x^2}{9}-\dfrac{y^2}{7}=1$;(2)$\dfrac{y^2}{64}-\dfrac{x^2}{36}=1(y>0)$;(3)$x^2-\dfrac{y^2}{3}=1$
|
|
|
|
021223
|
|
$\dfrac{x^2}{20}-\dfrac{y^2}{16}=1$
|
|
|
|
021224
|
|
$\dfrac{x^2}{33-12\sqrt{6}}-\dfrac{y^2}{12\sqrt{6}-8}=1$或$\dfrac{y^2}{16}-\dfrac{x^2}{9}=1$
|
|
|
|
021225
|
|
不正确, 正确结果为$17$
|
|
|
|
021226
|
|
$\dfrac{x^2}{115600}-\dfrac{y^2}{134400}=1$
|
|
|
|
021227
|
|
D
|
|
|
|
021228
|
|
$(-3,6)$
|
|
|
|
021229
|
|
$m<-2$
|
|
|
|
021230
|
|
$\dfrac{41}{4}$
|
|
|
|
021231
|
|
$32+2m$
|
|
|
|
021232
|
|
$|PF_1|=\dfrac{c}{a}x_0+a$,$|PF_2|=\dfrac{c}{a}x_0-a$
|
|
|
|
021233
|
|
$x^2-\dfrac{y^2}{4}=1$
|
|
|
|
041001
|
|
(1)$\dfrac{y^2}{18}-\dfrac{x^2}{18}=1$,$\sqrt{2}$;(2)$(\pm 2\sqrt{3},0)$,$\arctan{2\sqrt{2}}$
|
|
|
|
041002
|
|
A,A,B,B
|
|
|
|
041003
|
|
(1))$\dfrac{x^2}{3}-\dfrac{y^2}{5}=1$;(2))$\dfrac{y^2}{81}-\dfrac{x^2}{9}=1$或)$x^2-\dfrac{y^2}{9}=1$
|
|
|
|
021242
|
|
$\dfrac{x^2}{3}-\dfrac{y^2}{12}=1$
|
|
|
|
021243
|
|
$y=\pm \dfrac{\sqrt{2}}{4}x$
|
|
|
|
021244
|
|
证明略
|
|
|
|
041004
|
|
(1)$\dfrac{x^2}{\dfrac{81}{13}}-\dfrac{y^2}{\dfrac{36}{13}}=1$;(2)$2$或$\dfrac{2\sqrt{3}}{3}$; (3)$(\dfrac 52,\dfrac 72)$;(4)$(\pm \sqrt{7},0)$
|
|
|
|
041005
|
|
D,A,D
|
|
|
|
021251
|
|
$a^2$
|
|
|
|
021263
|
|
$\dfrac{y^2}{36}-\dfrac{x^2}{81}=1(x\neq 0)$
|
|
|
|
021252
|
|
$\dfrac{c}{a}$
|
|
|
|
021253
|
|
$y=\pm \sqrt{2}x$
|
|
|
|
021254
|
|
$0$
|
|
|
|
008917
|
|
$\dfrac{x^2}{4}-\dfrac{y^2}{5}=1$(x>0)
|
|
|
|
021255
|
|
$\dfrac{2\sqrt{3}}{3}$
|
|
|
|
021256
|
|
$\dfrac{14\sqrt{3}}{3}$
|
|
|
|
041006
|
|
$3$
|
|
|
|
021258
|
|
$x^2-4y^2=\pm \dfrac{36}{5}$
|
|
|
|
021259
|
|
$(-\dfrac{\sqrt{15}}{3},-1)$
|
|
|
|
021260
|
|
(1)椭圆:$k<4$,双曲线: $4<k<9$;(2)$\dfrac{x^2}{3}-\dfrac{y^2}{2}=1$
|
|
|
|
021261
|
|
(1)$(\sqrt{6},-\sqrt{3})\cup(\sqrt{3},\sqrt{3})\cup(\sqrt{3},\sqrt{6})$;(2)$\pm 1$
|
|
|
|
021267
|
|
(1)$e>\dfrac{\sqrt{6}}{2},e\neq \sqrt{2}$;(2)$\dfrac{17}{13}$
|
|
|
|
ans
|
|
|
|
032128
|
|
$(0,1]$
|
|
|
|
032129
|
|
$\dfrac{\pi}{3}$
|
|
|
|
032130
|
|
$-\dfrac{5}{2}i$
|
|
|
|
032131
|
|
$-\dfrac{1}{2}$
|
|
|
|
032132
|
|
$y=-\dfrac{1}{4}$
|
|
|
|
032133
|
|
1
|
|
|
|
032134
|
|
$\dfrac{1}{3}$
|
|
|
|
032135
|
|
44
|
|
|
|
032136
|
|
$35+2\sqrt{82}$
|
|
|
|
032137
|
|
643
|
|
|
|
032138
|
|
1289
|
|
|
|
032139
|
|
24
|
|
|
|
032140
|
|
B
|
|
|
|
032141
|
|
A
|
|
|
|
032142
|
|
C
|
|
|
|
032143
|
|
C
|
|
|
|
032144
|
|
(1)略; (2)$\sqrt{2}$
|
|
|
|
032145
|
|
(1)95.8;(2)0.72
|
|
|
|
032146
|
|
(1)直角三角形; (2)$4+4\sqrt{2}$
|
|
|
|
032147
|
|
(1)$\sqrt{2}$;(2)略; (3)$(9x^2+5y^2)^2+162x^2-50y^2=0(y\neq 0)$
|
|
|
|
032148
|
|
(1)略; (2)$a\geq \dfrac{1}{8}$时, $f(x)$在$(0,+\infty )$单调增; $0<a<\dfrac{1}{8}$时, $f(x)$在$(0,\dfrac{1-\sqrt{1-8a}}{4a})$单调增,在$(\dfrac{1-\sqrt{1-8a}}{4a},\dfrac{1+\sqrt{1-8a}}{4a})$单调减, 在$(\dfrac{1+\sqrt{1-8a}}{4a},+\infty )$单调增; (3)$a\leq \dfrac{e}{2}$
|
|
|
|
032089
|
|
$(-\infty,2]$
|
|
|
|
032090
|
|
$2$
|
|
|
|
032091
|
|
$(0,4)$
|
|
|
|
032092
|
|
$10$
|
|
|
|
032093
|
|
$(-\infty,\dfrac{9}{4})$
|
|
|
|
032094
|
|
A
|
|
|
|
032095
|
|
(1)$\pi$;(2)最大值为$1$, 最小值$-2$
|
|
|
|
032096
|
|
(1)证明略; (2)$[1,+\infty)$;(3)存在, 例如: $r(x)=4\sqrt{x},r(x)=\dfrac{1}{4}\log_2(x+1)$等
|
|
|
|
031023
|
|
$2\sqrt{2}\pi$
|
|
|
|
032097
|
|
$(-1,\dfrac{5}{27})$
|
|
|
|
031157
|
|
B
|
|
|
|
030711
|
|
(1)$M=10+mx-x-10\sqrt{x},1\leq x\leq 16,x\in \mathbf{N}$;(2)$[\dfrac{7}{2},\dfrac{9}{4}]$
|
|
|
|
032098
|
|
(1)$\dfrac{x^2}{4}+\dfrac{y^2}{3}=1$;(2)6;(3)$3x+4y-2=0$
|
|
|
|
ans
|
|
|
|
022801
|
|
$[0,1]$
|
|
|
|
022802
|
|
$\sqrt{5}$
|
|
|
|
022803
|
|
$2\sqrt{2}-1$
|
|
|
|
022804
|
|
$\pm 1$
|
|
|
|
022805
|
|
$2n-3$
|
|
|
|
022806
|
|
$1$
|
|
|
|
022807
|
|
$36$
|
|
|
|
012041
|
|
$240$
|
|
|
|
022808
|
|
若 \textcircled{1}\textcircled{3},则\textcircled{2}(或者若 \textcircled{2}\textcircled{3},则\textcircled{1})
|
|
|
|
012042
|
|
$(-1,1)$
|
|
|
|
022809
|
|
$\dfrac{4\sqrt{3}}{3}$
|
|
|
|
022810
|
|
A
|
|
|
|
022811
|
|
D
|
|
|
|
022812
|
|
A
|
|
|
|
022813
|
|
$(1)\dfrac{\pi}{4});(2)4-\sqrt{2}$
|
|
|
|
022814
|
|
(1)$\dfrac{\pi}{3}$;(2)$\arctan\dfrac{\sqrt{2}}{2}$;(3)$\dfrac{1}{2}$
|
|
|
|
004486
|
|
(1) 约为$6.7^\circ$; (2) 最小值为$256$
|
|
|
|
022815
|
|
(1) $\dfrac{x^2}{2}+y^2=1$; (2) $k=\pm\dfrac{1}{2}$
|
|
|
|
022816
|
|
(1) $\dfrac{1}{1},\dfrac{2}{1},\dfrac{1}{2},\dfrac{3}{1},\dfrac{2}{2},\dfrac{1}{3},\dfrac{4}{1},\dfrac{3}{2},\dfrac{2}{3},\dfrac{1}{4}$; (2) $1008\dfrac{28}{65}$
|
|
|
|
019810
|
|
$\{2,4\}$
|
|
|
|
019811
|
|
$x=\log_23$
|
|
|
|
031267
|
|
$4\pi$
|
|
|
|
012389
|
|
$n^2$
|
|
|
|
019814
|
|
$2$
|
|
|
|
019815
|
|
$\dfrac{\pi}{6}$
|
|
|
|
009322
|
|
$72$
|
|
|
|
019817
|
|
$\dfrac{2\sqrt{2}}{3}$
|
|
|
|
019818
|
|
$\dfrac{3}{10}$
|
|
|
|
019819
|
|
$-3$
|
|
|
|
040079
|
|
$1078$
|
|
|
|
019822
|
|
B
|
|
|
|
019823
|
|
A
|
|
|
|
004565
|
|
B
|
|
|
|
022817
|
|
(1) $\arctan\dfrac{2}{5}$; (2) $V=4$
|
|
|
|
022818
|
|
(1) $a=0$; (2) $a-\dfrac{1}{4}$
|
|
|
|
022819
|
|
(1)7小时; (2)17小时
|
|
|
|
022820
|
|
(1)$4\sqrt{2}-6$;(2)$y=-\dfrac{\sqrt{2}}{2}x$
|
|
|
|
022821
|
|
(1) $1,2,3,a_n=n$;(2)略
|
|
|
|
022822
|
|
$\sqrt{2}$
|
|
|
|
022823
|
|
3
|
|
|
|
022824
|
|
$1+\ln x$
|
|
|
|
022825
|
|
$\sqrt{5}\pi$
|
|
|
|
022826
|
|
0
|
|
|
|
022827
|
|
80
|
|
|
|
022828
|
|
$-\dfrac{1}{4}$
|
|
|
|
022829
|
|
$\dfrac{y^2}{9}-\dfrac{x^2}{1}=1$
|
|
|
|
022830
|
|
$\dfrac{9}{20}$
|
|
|
|
022831
|
|
8
|
|
|
|
022832
|
|
$\dfrac{\sqrt{5}}{2}$
|
|
|
|
022833
|
|
D
|
|
|
|
022834
|
|
A
|
|
|
|
022835
|
|
C
|
|
|
|
022836
|
|
(1) $\dfrac{16}{3}$;(2) $\arcsin\dfrac{2\sqrt{2}}{3}$
|
|
|
|
004506
|
|
(1) $1$;(2)$2$
|
|
|
|
022837
|
|
(1)$3.1$秒; (2)20米/秒, 72千米/小时
|
|
|
|
022838
|
|
(1)$\dfrac{8}{3}$;(2)略
|
|
|
|
022839
|
|
(1)$a_1=1;a_2=0$或$1$; $a_3=0$或$1$;(2)115,证明略
|
|
|
|
022840
|
|
$\{1,2\}$
|
|
|
|
022841
|
|
$\dfrac{\pi}{3}$
|
|
|
|
022842
|
|
$\dfrac{\pi}{3}$
|
|
|
|
022843
|
|
$-2$
|
|
|
|
022844
|
|
$512$
|
|
|
|
022845
|
|
$\dfrac{2\pi}{3}$
|
|
|
|
022846
|
|
$-3$
|
|
|
|
022847
|
|
$\dfrac{x^2}{9}-\dfrac{y^2}{16}=1$
|
|
|
|
022848
|
|
$(0,\dfrac{1}{3})\bigcup (\dfrac{1}{3},\dfrac{2}{3})$
|
|
|
|
022849
|
|
$2:-1:1:1$
|
|
|
|
022850
|
|
$\dfrac{\sqrt{3}}{2}$
|
|
|
|
022851
|
|
C
|
|
|
|
022852
|
|
C
|
|
|
|
022853
|
|
A
|
|
|
|
022854
|
|
(1)12;(2)略
|
|
|
|
022855
|
|
(1)$AB=\sqrt{2}$米,$BC=\dfrac{\sqrt{2}}{2}$米,面积最大为$1$平方米; (2)$AB=2\sqrt{2}$米,$BC=\dfrac{\sqrt{2}}{2}$米,面积最大为$2$平方米
|
|
|
|
022856
|
|
(1)$2020$;(2)$(-\infty,\log_2\dfrac{9}{10}]$
|
|
|
|
022857
|
|
(1)证明略; (2)关于直线$y=x$对称, $x$范围为$[-1,+\infty)$,$y$范围为$[-1,+\infty)$,证明略
|
|
|
|
022858
|
|
(1)例: $f(x)=\sin\dfrac{\pi x}{4}$,证明略; (2)证明略
|
|
|
|
022859
|
|
$(0,2))$
|
|
|
|
004512
|
|
$\sqrt{2}$
|
|
|
|
022860
|
|
$(x+\dfrac{3}{2})^2+y^2=9$
|
|
|
|
022861
|
|
$2n+1$
|
|
|
|
004558
|
|
$15$
|
|
|
|
019885
|
|
$2\pi$
|
|
|
|
022862
|
|
$0.25$
|
|
|
|
022863
|
|
$3\sqrt{3}$
|
|
|
|
022864
|
|
$[0,\dfrac{\sqrt{3}}{3}]$
|
|
|
|
004521
|
|
$(-\infty,-1]$
|
|
|
|
022865
|
|
A
|
|
|
|
022866
|
|
A
|
|
|
|
004524
|
|
C
|
|
|
|
022867
|
|
(1)证明略; (2)$ED=\dfrac{\sqrt{6}}{3}a$
|
|
|
|
004527
|
|
(1)$T=\pi $;严格增区间为$[k\pi-\dfrac{\pi}{3},k\pi+\dfrac{\pi}{6}],k\in\mathbf{Z}$;(2)$3\sqrt{3}$
|
|
|
|
022868
|
|
(1)15户; (2)$x=5$时, $f(x)$最大值为$2.12>2.1$,可以达到
|
|
|
|
022869
|
|
(1)$1$; (2)$(0,\arctan\dfrac{1}{2})$
|
|
|
|
022870
|
|
(1)$6$; (2)正确, 证明略
|
|
|
|
019887
|
|
$-\dfrac{1}{4}$
|
|
|
|
019888
|
|
$\dfrac{1}{2}$
|
|
|
|
019889
|
|
3
|
|
|
|
019890
|
|
$[-\dfrac{1}{2},\dfrac{1}{2}]$
|
|
|
|
023003
|
|
C
|
|
|
|
019891
|
|
A
|
|
|
|
023004
|
|
4
|
|
|
|
023005
|
|
B
|
|
|
|
023006
|
|
C
|
|
|
|
019900
|
|
1
|
|
|
|
019901
|
|
3
|
|
|
|
019902
|
|
2
|
|
|
|
019903
|
|
$-\dfrac{1}{2}$
|
|
|
|
019904
|
|
D
|
|
|
|
004438
|
|
C |