录入一些答案
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@ -40,10 +40,10 @@ $x=0\quad (-3\leq y \leq 3)$
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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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\\(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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\\(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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@ -145,7 +145,7 @@ $y=\dfrac{1}{2}x\pm\dfrac{\sqrt{66}}{2}$
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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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$\\(1)k\geq0$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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@ -195,10 +195,10 @@ A.
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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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(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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(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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@ -214,7 +214,7 @@ $120$
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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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(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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@ -376,13 +376,13 @@ A
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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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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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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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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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@ -397,7 +397,7 @@ $a=b=10.5$
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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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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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@ -421,13 +421,13 @@ $4467$
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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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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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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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@ -442,7 +442,7 @@ $0.32$,$96$
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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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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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@ -477,7 +477,7 @@ C
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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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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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@ -489,7 +489,7 @@ $100$
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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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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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@ -582,7 +582,7 @@ $D$.
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$D$.
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023121
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(1)略；(2)略.
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(1)略; (2)略.
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023122
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略.
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@ -780,13 +780,13 @@ $A$
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$D$
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023178
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$(1)$略；$(2)\frac{\sqrt{14}}{14}$
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$(1)$略; $(2)\frac{\sqrt{14}}{14}$
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023179
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$(1)\frac{\pi}{6};(2)arccos\frac{\sqrt{3}}{3}$
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023180
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$(1)$略；$(2)arctan\frac{\sqrt{6}}{2}$;$(3)$略；$(4)\frac{\sqrt{2}}{6}$
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$(1)$略; $(2)arctan\frac{\sqrt{6}}{2}$;$(3)$略; $(4)\frac{\sqrt{2}}{6}$
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023181
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无
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@ -813,22 +813,22 @@ $\frac{\pi}{6}$.
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$\frac{15\sqrt{3}}{2}$
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017677
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$DM\perp PC$（或$BM\perp PC$)
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$DM\perp PC$(或$BM\perp PC$)
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023188
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\textcircled{1}\textcircled{2}\textcircled{4}
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023189
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(1)略；(2)$arccos\frac{\sqrt{15}}{5}$
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(1)略; (2)$arccos\frac{\sqrt{15}}{5}$
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023190
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(1)略；(2)6.
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(1)略; (2)6.
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023191
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$S=\begin{cases}\frac{1}{2cos\alpha},\quad\alpha\in(0,arctan\sqrt{2}]\\ \frac{\sqrt{2}-cot\alpha}{sin\alpha},\alpha\in(arctan\sqrt{2},\frac{\pi}{2}]\end{cases}$
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023192
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(1)略；(2)$\frac{2\sqrt{6}}{3}$.
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(1)略; (2)$\frac{2\sqrt{6}}{3}$.
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023193
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$8$.
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@ -846,7 +846,7 @@ $arctan\sqrt{2}$.
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$10.$
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023198
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$(1)$外心；$(2)$内心；$(3)$垂心.
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$(1)$外心; $(2)$内心; $(3)$垂心.
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023199
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$\sqrt{3}$
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@ -867,7 +867,7 @@ $S=32,V=16$.
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$\frac{2\sqrt{11}}{11}$.
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023205
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$(1)$略；$(2)\frac{5}{3}$.
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$(1)$略; $(2)\frac{5}{3}$.
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023206
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$(1)V=a^2;(2)$\textcircled{1}$\frac{\sqrt{51}}{9}$;\textcircled{2}$\frac{\sqrt{30}}{3}$.
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@ -921,7 +921,7 @@ $\theta_{min}=\pi-arctan\frac{4}{3}$,此时$P$ 在线段 $A_1C_1$ 的中点.
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略.
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023223
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$(1)$略；$(2)arctan\sqrt{2}$;$(3)$是，$\frac{\sqrt{6}}{24}$.
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$(1)$略; $(2)arctan\sqrt{2}$;$(3)$是, $\frac{\sqrt{6}}{24}$.
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023224
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$P^{6}_{20-m}$.
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@ -961,7 +961,7 @@ $a_{n}=\begin{cases}2-a,n=1 \\2^{n-1},n\geq2
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$(-\frac{1}{11},-\frac{1}{19})$.
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023236
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(1)略；(2)$S_{n}=\frac{2}{3}-(n+\frac{2}{3})(\frac{1}{4})^{n}$;(3)$(-\infty,-5]\cup[1,+\infty)$.
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(1)略; (2)$S_{n}=\frac{2}{3}-(n+\frac{2}{3})(\frac{1}{4})^{n}$;(3)$(-\infty,-5]\cup[1,+\infty)$.
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023237
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$1716$.
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@ -1015,19 +1015,19 @@ $92$.
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(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$k\ge1)$
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023253
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(1)不是；(2)最大项为$a_3=a_4=20$.
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(1)不是; (2)最大项为$a_3=a_4=20$.
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022570
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(1)$2$;(2)存在，$N=22$.
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(1)$2$;(2)存在, $N=22$.
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022572
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$S_n=(n-1)\cdot3^n+1$.
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023254
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(1)第$16$项；(2)$b_n=3\cdot2^n+1$.
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(1)第$16$项; (2)$b_n=3\cdot2^n+1$.
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023255
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(1)略；(2)$a_n=\begin{cases}
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(1)略; (2)$a_n=\begin{cases}
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\frac{1}{2},n=1\\-\frac{1}{2n(n-1)},n\geq2
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\end{cases}$
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@ -1563,7 +1563,7 @@ $\dfrac{x^2}{20}-\dfrac{y^2}{16}=1$
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$\dfrac{x^2}{33-12\sqrt{6}}-\dfrac{y^2}{12\sqrt{6}-8}=1$或$\dfrac{y^2}{16}-\dfrac{x^2}{9}=1$
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021225
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不正确，正确结果为$17$
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不正确, 正确结果为$17$
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021226
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$\dfrac{x^2}{115600}-\dfrac{y^2}{134400}=1$
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@ -1647,7 +1647,7 @@ $x^2-4y^2=\pm \dfrac{36}{5}$
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$(-\dfrac{\sqrt{15}}{3},-1)$
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021260
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(1)椭圆:$k<4$,双曲线：$4<k<9$;(2)$\dfrac{x^2}{3}-\dfrac{y^2}{2}=1$
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(1)椭圆:$k<4$,双曲线: $4<k<9$;(2)$\dfrac{x^2}{3}-\dfrac{y^2}{2}=1$
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021261
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(1)$(\sqrt{6},-\sqrt{3})\cup(\sqrt{3},\sqrt{3})\cup(\sqrt{3},\sqrt{6})$;(2)$\pm 1$
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@ -1655,3 +1655,435 @@ $(-\dfrac{\sqrt{15}}{3},-1)$
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021267
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(1)$e>\dfrac{\sqrt{6}}{2},e\neq \sqrt{2}$;(2)$\dfrac{17}{13}$
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ans
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032128
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$(0,1]$
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032129
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$\dfrac{\pi}{3}$
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032130
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$-\dfrac{5}{2}i$
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032131
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$-\dfrac{1}{2}$
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032132
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$y=-\dfrac{1}{4}$
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032133
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1
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032134
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$\dfrac{1}{3}$
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032135
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44
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032136
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$35+2\sqrt{82}$
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032137
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643
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032138
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1289
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032139
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24
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032140
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B
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032141
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A
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032142
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C
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032143
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C
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032144
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(1)略; (2)$\sqrt{2}$
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032145
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(1)95.8;(2)0.72
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032146
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(1)直角三角形; (2)$4+4\sqrt{2}$
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032147
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(1)$\sqrt{2}$;(2)略; (3)$(9x^2+5y^2)^2+162x^2-50y^2=0(y\neq 0)$
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032148
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(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)$a\leq \dfrac{e}{2}$
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032089
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$(-\infty,2]$
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032090
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$2$
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032091
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$(0,4)$
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032092
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$10$
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032093
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$(-\infty,\dfrac{9}{4})$
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032094
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A
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032095
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(1)$\pi$;(2)最大值为$1$, 最小值$-2$
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032096
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(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
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031023
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$2\sqrt{2}\pi$
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032097
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$(-1,\dfrac{5}{27})$
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031157
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B
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030711
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(1)$M=10+mx-x-10\sqrt{x},1\leq x\leq 16,x\in \mathbf{N}$;(2)$[\dfrac{7}{2},\dfrac{9}{4}]$
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032098
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(1)$\dfrac{x^2}{4}+\dfrac{y^2}{3}=1$;(2)6;(3)$3x+4y-2=0$
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ans
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022801
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$[0,1]$
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022802
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$\sqrt{5}$
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022803
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$2\sqrt{2}-1$
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022804
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$\pm 1$
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022805
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$2n-3$
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022806
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$1$
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022807
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$36$
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012041
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$240$
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022808
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若 \textcircled{1}\textcircled{3},则\textcircled{2}(或者若 \textcircled{2}\textcircled{3},则\textcircled{1})
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012042
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$(-1,1)$
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022809
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$\dfrac{4\sqrt{3}}{3}$
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022810
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A
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022811
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D
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022812
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A
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022813
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$(1)\dfrac{\pi}{4});(2)4-\sqrt{2}$
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022814
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(1)$\dfrac{\pi}{3}$;(2)$\arctan\dfrac{\sqrt{2}}{2}$;(3)$\dfrac{1}{2}$
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004486
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(1) 约为$6.7^\circ$; (2) 最小值为$256$
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022815
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(1) $\dfrac{x^2}{2}+y^2=1$; (2) $k=\pm\dfrac{1}{2}$
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022816
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(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) $1008\dfrac{28}{65}$
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019810
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$\{2,4\}$
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019811
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$x=\log_23$
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031267
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$4\pi$
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012389
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$n^2$
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019814
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$2$
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019815
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$\dfrac{\pi}{6}$
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009322
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$72$
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019817
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$\dfrac{2\sqrt{2}}{3}$
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019818
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$\dfrac{3}{10}$
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019819
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$-3$
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040079
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$1078$
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019822
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B
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019823
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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
|
||||
|
|
@ -267051,7 +267051,7 @@
|
|||
"H20250331-二项式定理(2)"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "(1)第$18$,$19$项；\\\\\n(2)$\\mathrm{C}_{35}^{27}3^{27}x^{27}$",
|
||||
"ans": "(1)第$18$,$19$项; \\\\\n(2)$\\mathrm{C}_{35}^{27}3^{27}x^{27}$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -494164,7 +494164,7 @@
|
|||
"W20250306-2025届高二上学期周末卷06"
|
||||
],
|
||||
"genre": "填空题",
|
||||
"ans": "$DM\\perp PC$（或$BM\\perp PC$)",
|
||||
"ans": "$DM\\perp PC$(或$BM\\perp PC$)",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -588256,7 +588256,7 @@
|
|||
"H20250338-总体与样本、数据的获取"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "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$24000$",
|
||||
"ans": "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$24000$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -588292,7 +588292,7 @@
|
|||
"H20250338-总体与样本、数据的获取"
|
||||
],
|
||||
"genre": "填空题",
|
||||
"ans": "观测，观测，实验",
|
||||
"ans": "观测, 观测, 实验",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -588328,7 +588328,7 @@
|
|||
"H20250338-总体与样本、数据的获取"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "不可靠，样本容量太小，样本不一定具有代表性",
|
||||
"ans": "不可靠, 样本容量太小, 样本不一定具有代表性",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -588510,7 +588510,7 @@
|
|||
"H20250338-总体与样本、数据的获取"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "平均数是$72.0$，中位数是$70$，方差是$74.9$",
|
||||
"ans": "平均数是$72.0$, 中位数是$70$, 方差是$74.9$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -588793,7 +588793,7 @@
|
|||
"H20250339-抽样方法"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "样本容量为$92$，抽样人数为$31$",
|
||||
"ans": "样本容量为$92$, 抽样人数为$31$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -588869,7 +588869,7 @@
|
|||
"H20250339-抽样方法"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "分层抽样，高一抽$18$人，高二抽$22$人，高三抽$10$人",
|
||||
"ans": "分层抽样, 高一抽$18$人, 高二抽$22$人, 高三抽$10$人",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -589043,7 +589043,7 @@
|
|||
"H20250340-统计图表"
|
||||
],
|
||||
"genre": "填空题",
|
||||
"ans": "集中，分散，$6.88$,$12.43$",
|
||||
"ans": "集中, 分散, $6.88$,$12.43$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -589280,7 +589280,7 @@
|
|||
"H20250341-统计估计"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "甲更准，乙更稳定",
|
||||
"ans": "甲更准, 乙更稳定",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -589507,7 +589507,7 @@
|
|||
"H20250341-统计估计"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "平均成绩是$89.6$，总体方差是$12.09$",
|
||||
"ans": "平均成绩是$89.6$, 总体方差是$12.09$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -590763,7 +590763,7 @@
|
|||
"第七单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "不正确，正确结果为$17$",
|
||||
"ans": "不正确, 正确结果为$17$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -591824,7 +591824,7 @@
|
|||
"第七单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "(1)椭圆:$k<4$,双曲线：$4<k<9$;(2)$\\dfrac{x^2}{3}-\\dfrac{y^2}{2}=1$",
|
||||
"ans": "(1)椭圆:$k<4$,双曲线: $4<k<9$;(2)$\\dfrac{x^2}{3}-\\dfrac{y^2}{2}=1$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -634004,7 +634004,7 @@
|
|||
"W20250310-2025届高二上学期周末卷10"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "(1)$2$;(2)存在，$N=22$.",
|
||||
"ans": "(1)$2$;(2)存在, $N=22$.",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -642094,7 +642094,7 @@
|
|||
"A20240502-2024届高三上124分守护卷02"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "(1)7小时；(2)17小时",
|
||||
"ans": "(1)7小时; (2)17小时",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -642751,7 +642751,7 @@
|
|||
"A20240503-2024届高三上124分守护卷03"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "(1)$3.1$秒；（2）20米/秒，72千米/小时",
|
||||
"ans": "(1)$3.1$秒; (2)20米/秒, 72千米/小时",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -642787,7 +642787,7 @@
|
|||
"A20240503-2024届高三上124分守护卷03"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "（1）$\\dfrac{8}{3}$;(2)略",
|
||||
"ans": "(1)$\\dfrac{8}{3}$;(2)略",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -642823,7 +642823,7 @@
|
|||
"A20240503-2024届高三上124分守护卷03"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "（1）$a_1=1;a_2=0$或$1$；$a_3=0$或$1$;(2)115,证明略",
|
||||
"ans": "(1)$a_1=1;a_2=0$或$1$; $a_3=0$或$1$;(2)115,证明略",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -643317,7 +643317,7 @@
|
|||
"A20240504-2024届高三上124分守护卷04"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "（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",
|
||||
"ans": "(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",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -643343,7 +643343,7 @@
|
|||
"A20240504-2024届高三上124分守护卷04"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "（1）$2020$;(2)$(-\\infty,\\log_2\\dfrac{9}{10}]$",
|
||||
"ans": "(1)$2020$;(2)$(-\\infty,\\log_2\\dfrac{9}{10}]$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -643379,7 +643379,7 @@
|
|||
"A20240504-2024届高三上124分守护卷04"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "（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",
|
||||
"ans": "(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",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -643403,7 +643403,7 @@
|
|||
"A20240504-2024届高三上124分守护卷04"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "（1）例：$f(x)=\\sin\\dfrac{\\pi x}{4}$,证明略；（2）证明略",
|
||||
"ans": "(1)例: $f(x)=\\sin\\dfrac{\\pi x}{4}$,证明略; (2)证明略",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -643659,7 +643659,7 @@
|
|||
"A20240505-2024届高三上124分守护卷05"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "(1)证明略；（2）$ED=\\dfrac{\\sqrt{6}}{3}a$",
|
||||
"ans": "(1)证明略; (2)$ED=\\dfrac{\\sqrt{6}}{3}a$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -643685,7 +643685,7 @@
|
|||
"A20240505-2024届高三上124分守护卷05"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "(1)15户；（2）$x=5$时，$f(x)$最大值为$2.12>2.1$,可以达到",
|
||||
"ans": "(1)15户; (2)$x=5$时, $f(x)$最大值为$2.12>2.1$,可以达到",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -643711,7 +643711,7 @@
|
|||
"A20240505-2024届高三上124分守护卷05"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "（1）$1$; (2)$(0,\\arctan\\dfrac{1}{2})$",
|
||||
"ans": "(1)$1$; (2)$(0,\\arctan\\dfrac{1}{2})$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -643739,7 +643739,7 @@
|
|||
"A20240505-2024届高三上124分守护卷05"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "(1)$6$; (2)正确，证明略",
|
||||
"ans": "(1)$6$; (2)正确, 证明略",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -650656,7 +650656,7 @@
|
|||
"E20250302-2025届高二上学期测验卷02"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "(1)略；(2)$\\arccos\\frac{31}{34}$;(3)$\\pi-\\arctan\\frac{\\sqrt{51}}{12}$.",
|
||||
"ans": "(1)略; (2)$\\arccos\\frac{31}{34}$;(3)$\\pi-\\arctan\\frac{\\sqrt{51}}{12}$.",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -650679,7 +650679,7 @@
|
|||
"E20250302-2025届高二上学期测验卷02"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "(1)略；(2)$\\frac{1}{6}$;(3)$[\\frac{21}{2},15]$.",
|
||||
"ans": "(1)略; (2)$\\frac{1}{6}$;(3)$[\\frac{21}{2},15]$.",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -651003,7 +651003,7 @@
|
|||
"W20250301-2025届高二上学期周末卷01"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "(1)略；(2)略.",
|
||||
"ans": "(1)略; (2)略.",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -652333,7 +652333,7 @@
|
|||
"W20250305-2025届高二上学期周末卷05"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "$(1)$略；$(2)\\frac{\\sqrt{14}}{14}$",
|
||||
"ans": "$(1)$略; $(2)\\frac{\\sqrt{14}}{14}$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -652379,7 +652379,7 @@
|
|||
"W20250305-2025届高二上学期周末卷05"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "$(1)$略；$(2)arctan\\frac{\\sqrt{6}}{2}$;$(3)$略；$(4)\\frac{\\sqrt{2}}{6}$",
|
||||
"ans": "$(1)$略; $(2)arctan\\frac{\\sqrt{6}}{2}$;$(3)$略; $(4)\\frac{\\sqrt{2}}{6}$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -652588,7 +652588,7 @@
|
|||
"W20250306-2025届高二上学期周末卷06"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "(1)略；(2)$arccos\\frac{\\sqrt{15}}{5}$",
|
||||
"ans": "(1)略; (2)$arccos\\frac{\\sqrt{15}}{5}$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -652611,7 +652611,7 @@
|
|||
"W20250306-2025届高二上学期周末卷06"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "(1)略；(2)6.",
|
||||
"ans": "(1)略; (2)6.",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -652660,7 +652660,7 @@
|
|||
"W20250306-2025届高二上学期周末卷06"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "(1)略；(2)$\\frac{2\\sqrt{6}}{3}$.",
|
||||
"ans": "(1)略; (2)$\\frac{2\\sqrt{6}}{3}$.",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -652798,7 +652798,7 @@
|
|||
"W20250307-2025届高二上学期周末卷07"
|
||||
],
|
||||
"genre": "填空题",
|
||||
"ans": "$(1)$外心；$(2)$内心；$(3)$垂心.",
|
||||
"ans": "$(1)$外心; $(2)$内心; $(3)$垂心.",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -652961,7 +652961,7 @@
|
|||
"W20250307-2025届高二上学期周末卷07"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "$(1)$略；$(2)\\frac{5}{3}$.",
|
||||
"ans": "$(1)$略; $(2)\\frac{5}{3}$.",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -653379,7 +653379,7 @@
|
|||
"W20250308-2025届高二上学期周末卷08"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "$(1)$略；$(2)arctan\\sqrt{2}$;$(3)$是，$\\frac{\\sqrt{6}}{24}$.",
|
||||
"ans": "$(1)$略; $(2)arctan\\sqrt{2}$;$(3)$是, $\\frac{\\sqrt{6}}{24}$.",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -653688,7 +653688,7 @@
|
|||
"W20250309-2025届高二上学期周末卷09"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "(1)略；(2)$S_{n}=\\frac{2}{3}-(n+\\frac{2}{3})(\\frac{1}{4})^{n}$;(3)$(-\\infty,-5]\\cup[1,+\\infty)$.",
|
||||
"ans": "(1)略; (2)$S_{n}=\\frac{2}{3}-(n+\\frac{2}{3})(\\frac{1}{4})^{n}$;(3)$(-\\infty,-5]\\cup[1,+\\infty)$.",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -654092,7 +654092,7 @@
|
|||
"W20250310-2025届高二上学期周末卷10"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "(1)不是；(2)最大项为$a_3=a_4=20$.",
|
||||
"ans": "(1)不是; (2)最大项为$a_3=a_4=20$.",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -654117,7 +654117,7 @@
|
|||
"W20250310-2025届高二上学期周末卷10"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "(1)第$16$项；(2)$b_n=3\\cdot2^n+1$.",
|
||||
"ans": "(1)第$16$项; (2)$b_n=3\\cdot2^n+1$.",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -654140,7 +654140,7 @@
|
|||
"W20250310-2025届高二上学期周末卷10"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "(1)略；(2)$a_n=\\begin{cases}\n\\frac{1}{2},n=1\\\\-\\frac{1}{2n(n-1)},n\\geq2\n\\end{cases}$",
|
||||
"ans": "(1)略; (2)$a_n=\\begin{cases}\n\\frac{1}{2},n=1\\\\-\\frac{1}{2n(n-1)},n\\geq2\n\\end{cases}$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -714342,7 +714342,7 @@
|
|||
"第二单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "(1)$M=10+mx-x-10\\sqrt{x},1\\leq x\\leq 16,x\\in \\mathbf{N}$;(2)$[\\dfrac{7}{2},\\dfrac{9}{4}]$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -721699,7 +721699,7 @@
|
|||
"第六单元"
|
||||
],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$2\\sqrt{2}\\pi$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -724861,7 +724861,7 @@
|
|||
"第七单元"
|
||||
],
|
||||
"genre": "选择题",
|
||||
"ans": "",
|
||||
"ans": "B",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -749536,7 +749536,7 @@
|
|||
"第一单元"
|
||||
],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$(-\\infty,2]$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -749566,7 +749566,7 @@
|
|||
"第六单元"
|
||||
],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$2$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -749596,7 +749596,7 @@
|
|||
"第二单元"
|
||||
],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$(0,4)$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -749626,7 +749626,7 @@
|
|||
"第二单元"
|
||||
],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$10$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -749656,7 +749656,7 @@
|
|||
"第二单元"
|
||||
],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$(-\\infty,\\dfrac{9}{4})$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -749686,7 +749686,7 @@
|
|||
"第七单元"
|
||||
],
|
||||
"genre": "选择题",
|
||||
"ans": "",
|
||||
"ans": "A",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -749724,7 +749724,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "(1)$\\pi$;(2)最大值为$1$, 最小值$-2$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -749754,7 +749754,7 @@
|
|||
"第二单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "(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",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -749785,7 +749785,7 @@
|
|||
"第一单元"
|
||||
],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$(-1,\\dfrac{5}{27})$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -749807,7 +749807,7 @@
|
|||
"第七单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "(1)$\\dfrac{x^2}{4}+\\dfrac{y^2}{3}=1$;(2)6;(3)$3x+4y-2=0$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -750665,7 +750665,7 @@
|
|||
"第一单元"
|
||||
],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$(0,1]$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -750700,7 +750700,7 @@
|
|||
"第六单元"
|
||||
],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$\\dfrac{\\pi}{3}$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -750737,7 +750737,7 @@
|
|||
"第五单元"
|
||||
],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$-\\dfrac{5}{2}i$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -750772,7 +750772,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$-\\dfrac{1}{2}$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -750807,7 +750807,7 @@
|
|||
"第七单元"
|
||||
],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$y=-\\dfrac{1}{4}$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -750844,7 +750844,7 @@
|
|||
"第八单元"
|
||||
],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "1",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -750879,7 +750879,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$\\dfrac{1}{3}$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -750914,7 +750914,7 @@
|
|||
"第八单元"
|
||||
],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "44",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -750950,7 +750950,7 @@
|
|||
"第五单元"
|
||||
],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$35+2\\sqrt{82}$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -750985,7 +750985,7 @@
|
|||
"第二单元"
|
||||
],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "643",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -751020,7 +751020,7 @@
|
|||
"第四单元"
|
||||
],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "1289",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -751056,7 +751056,7 @@
|
|||
"第七单元"
|
||||
],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "24",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -751091,7 +751091,7 @@
|
|||
"第五单元"
|
||||
],
|
||||
"genre": "选择题",
|
||||
"ans": "",
|
||||
"ans": "B",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -751128,7 +751128,7 @@
|
|||
"第五单元"
|
||||
],
|
||||
"genre": "选择题",
|
||||
"ans": "",
|
||||
"ans": "A",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -751163,7 +751163,7 @@
|
|||
"第七单元"
|
||||
],
|
||||
"genre": "选择题",
|
||||
"ans": "",
|
||||
"ans": "C",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -751198,7 +751198,7 @@
|
|||
"第六单元"
|
||||
],
|
||||
"genre": "选择题",
|
||||
"ans": "",
|
||||
"ans": "C",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -751233,7 +751233,7 @@
|
|||
"第六单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "(1)略; (2)$\\sqrt{2}$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -751269,7 +751269,7 @@
|
|||
"第八单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "(1)95.8;(2)0.72",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -751304,7 +751304,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "(1)直角三角形; (2)$4+4\\sqrt{2}$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -751341,7 +751341,7 @@
|
|||
"第七单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "(1)$\\sqrt{2}$;(2)略; (3)$(9x^2+5y^2)^2+162x^2-50y^2=0(y\\neq 0)$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -751376,7 +751376,7 @@
|
|||
"第二单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "(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)$a\\leq \\dfrac{e}{2}$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -778930,7 +778930,7 @@
|
|||
"第七单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "\\\\（1）$l$的斜率不存在$x=10$，舍\\\\（2）$5x-12y-38=0$或$3x+4y-34=0$",
|
||||
"ans": "\\\\(1)$l$的斜率不存在$x=10$, 舍\\\\(2)$5x-12y-38=0$或$3x+4y-34=0$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -778963,7 +778963,7 @@
|
|||
"第七单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "\\\\(1)相交；\\\\(2)$\\sqrt{3}x-y+1-\\sqrt{3}=0$或$-\\sqrt{3}x-y+1+\\sqrt{3}=0$\\\\(3)$x(x-1)+(y-1)^2=0 (x\\neq1)$",
|
||||
"ans": "\\\\(1)相交; \\\\(2)$\\sqrt{3}x-y+1-\\sqrt{3}=0$或$-\\sqrt{3}x-y+1+\\sqrt{3}=0$\\\\(3)$x(x-1)+(y-1)^2=0 (x\\neq1)$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -782516,7 +782516,7 @@
|
|||
"第七单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "$\\\\(1)k\\geq0$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",
|
||||
"ans": "$\\\\(1)k\\geq0$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",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
|
|||
Reference in New Issue