录入若干答案
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ans
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018434
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\begin{tikzpicture}[>=latex]
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\draw [->] (-1,0) -- (7,0) node [below] {$x$};
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\draw [->] (0,-0.5) -- (0,2.5) node [left] {$y$};
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024729
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不是, 如$x=\dfrac{\pi}{3}$时, $\sin (x+\dfrac{2\pi}{3})\ne \sin x$
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018439
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(1) $\dfrac{2\pi}{3}$; (2) $4\pi$
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018440
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$\pm \pi$
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018441
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$\pi$
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009595
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(1) $2\pi$; (2) $\dfrac{2\pi}{3}$
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009596
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不是, 如$x=0$时, $\sin (x+\dfrac{\pi}{3})\ne \sin x$
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021651
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(1) 假; (2) 假;(3) 真.
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018442
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$2+\sqrt{3}$
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010275
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$\pm \dfrac{\pi}{2}$
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010284
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$1$
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010288
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(1) $2$; (2) \begin{tikzpicture}
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\draw [->] (-6,0) -- (6,0) node [below] {$x$};
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\draw [->] (0,-3) -- (0,3) node [left] {$y$};
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\draw (0,0) node [below left] {$O$};
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\draw [domain = 0:{2*pi}, samples = 100] plot (\x,{1-sin(\x*180/pi)});
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\draw (0,1) node [left] {$1$} (0,2) node [left] {$2$};
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\draw [dashed] ({pi/2*3},2) -- (0,2);
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\draw ({pi/2},0) node [below] {$\frac{\pi}{2}$} ({pi*3/2},0) node [below] {$\frac{3\pi}{2}$};
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\draw (pi,0) node [below] {$\pi$} (2*pi,0) node [below] {$2\pi$};
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\draw [dashed] (2*pi,0) --++ (0,1) -- (0,1) (pi,0) --++ (0,1) (3*pi/2,0) --++ (0,2);
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\end{tikzpicture}
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取值范围为$(0,\pi)$
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018435
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\begin{tikzpicture}[>=latex]
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\draw [->] (-2,0) -- (5.5,0) node [below] {$x$};
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\draw [->] (0,-0.5) -- (0,3.5) node [left] {$y$};
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\draw (0,0) node [below left] {$O$};
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\draw [domain = -pi/2:{3*pi/2}, samples = 100] plot (\x,{2-sin(\x*180/pi)});
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\draw [dashed] (-pi/2,0) --++ (0,3) --++ (2*pi,0) --++ (0,-3) (0,2) --++ (pi,0) --++ (0,-2) (0,1) --++ (pi/2,0) --++ (0,-1);
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\draw (-pi/2,0) node [below] {$\frac{\pi}{2}$} (pi/2,0) node [below] {$\frac{\pi}{2}$} (pi,0) node [below] {$\pi$} (3*pi/2,0) node [below] {$\frac{3\pi}{2}$};
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\draw (0,1) node [left] {$1$} (0,2) node [above right] {$2$} (0,3) node [above right] {$3$};
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\foreach \i in {-4,-3,-2,-1,1,2,3,4}
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{\draw (\i,0.1) -- (\i,0) node [below] {$\i$};};
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\foreach \i in {-2,-1,1,2}
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{\draw (0.1,\i) -- (0,\i) node [left] {$\i$};};
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\draw [dashed] (-5,2) -- (-4,0) -- (-3,2) -- (-2,0) -- (-1,2) -- (0,0) -- (1,2) -- (2,0) -- (3,2) -- (4,0) -- (5,2);
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\draw (-6,2) -- (-5,0) -- (-4,2) -- (-3,0) -- (-2,2) -- (-1,0) -- (0,2) -- (1,0) -- (2,2) -- (3,0) -- (4,2) -- (5,0) -- (6,2);
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\end{tikzpicture}
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018436
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$\dfrac{1}{2}$或$-\dfrac{3}{2}$
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018443
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(1) 最大值为$2$, 当且仅当$x=\dfrac{2k\pi}{3}+\dfrac{7\pi}{18}$, $k\in \mathbf{Z}$时取到; 最小值为$-2$, 当且仅当$x=\dfrac{2k\pi}{3}+\dfrac{\pi}{18}$, $k\in \mathbf{Z}$时取到;\\(2) 最大值为$2$, 当且仅当$x=2k\pi+\dfrac{\pi}{6}$, $k\in \mathbf{Z}$时取到; 最小值为$-2$, 当且仅当$x=2k\pi+\dfrac{7\pi}{6}$, $k\in \mathbf{Z}$时取到;\\最大值为$2$, 当且仅当$x=2k\pi+\dfrac{3\pi}{2}$, $k\in \mathbf{Z}$时取到; 最小值为$-\dfrac{1}{4}$, 当且仅当$x=2k\pi+\dfrac{\pi}{6}$或$2k\pi+\dfrac{5\pi}{6}$, $k\in \mathbf{Z}$时取到;\\(4) 最大值为$4$, 当且仅当$x=k\pi+\dfrac{\pi}{6}$, $k\in \mathbf{Z}$时取到; 最小值为$0$, 当且仅当$x=k\pi+\dfrac{2\pi}{3}$, $k\in \mathbf{Z}$时取到
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009592
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\begin{tikzpicture}[>=latex]
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\draw [->] (-3.5,0) -- (3.5,0) node [below] {$x$};
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\draw [->] (0,-1.5) -- (0,1.5) node [left] {$y$};
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\draw (0,0) node [below right] {$O$};
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\draw [domain = -pi:pi, samples = 100] plot (\x,{sin(\x*180/pi)});
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\draw [dashed] (-pi/2,0) --++ (0,-1) -- (0,-1) (pi/2,0) --++ (0,1) -- (0,1);
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\draw (-pi/2,0) node [above] {$-\frac{\pi}{2}$} (pi/2,0) node [below] {$\frac{\pi}{2}$};
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\draw (0,1) node [left] {$1$} (0,-1) node [right] {$-1$};
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\end{tikzpicture}
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018444
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应截取$AB=\sqrt{2}r$, $BC=\dfrac{\sqrt{2}}{2}r$, 这时矩形$ABCD$的面积达到最大值$r^2$
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009593
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\begin{tikzpicture}[>=latex]
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\draw [->] (-0.5,0) -- (7,0) node [below] {$x$};
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\draw [->] (0,-1) -- (0,2) node [left] {$y$};
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\draw (0,0) node [below right] {$O$};
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\draw [domain = 0:2*pi, samples = 100] plot (\x,{1/2-sin(\x*180/pi)});
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\draw [dashed] (2*pi,0.5) -- (0,0.5) (pi/2,0) --++ (0,-0.5) -- (0,-0.5) (3*pi/2,0) --++ (0,1.5) -- (0,1.5);
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\draw (3*pi/2,0) node [below] {$\frac{3\pi}{2}$} (pi/2,0) node [above] {$\frac{\pi}{2}$};
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\draw (0,0.5) node [left] {$\frac{1}{2}$} (0,1.5) node [left] {$\frac{3}{2}$} (0,-0.5) node [left] {$-\frac{1}{2}$};
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\end{tikzpicture}
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$y>0$时$x$的取值范围为$[0,\dfrac{\pi}{6})\cup (\dfrac{5\pi}{6},2\pi]$; $y<0$时$x$的取值范围为$(\dfrac{\pi}{6},\dfrac{5\pi}{6})$
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018445
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最大值为$\sqrt{2}$, 取到最大值的$x$的集合为$\{x|x=\dfrac{k\pi}{2}+\dfrac{\pi}{4}, \ k\in \mathbf{Z}\}$; 最小值为$1$, 取到最小值的$x$的集合为$\{x|x=\dfrac{k\pi}{2}, \ k\in \mathbf{Z}\}$
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009594
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\begin{tikzpicture}[>=latex,scale = 0.5]
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\draw [->] (-7,0) -- (7,0) node [below] {$x$};
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\draw [->] (0,-1.5) -- (0,3.5) node [left] {$y$};
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\draw (0,0) node [below left] {$O$};
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\draw [dashed, domain = -7:7, samples = 100] plot (\x,{sin(\x/pi*180)});
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\draw [domain = -7:7, samples = 100] plot (\x,{2+sin(\x/pi*180)});
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\end{tikzpicture}
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$y=2+\sin x$的图像由$y=\sin x$的图像向上平移$2$单位得到
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009598
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(1) 定义域为$\mathbf{R}$, 值域为$[-1,1]$; (2) 定义域为$\mathbf{R}$, 值域为$[\dfrac{1}{2},2]$
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018437
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$(-\dfrac{2\pi}{3},-\dfrac{\pi}{3})\cup (\dfrac{\pi}{3},\dfrac{2\pi}{3})$
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009599
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(1) 最大值为$6$, 最小值为$-4$; (2) 最大值为$\dfrac{3}{2}$, 最小值为$-3$; (3) 最大值为$2$, 最小值为$-2$
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018438
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$(1,3)$
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009600
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$\dfrac{\pi}{4}$
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023601
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\begin{tikzpicture}[>=latex, scale = 0.6]
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\draw [->] (-7,0) -- (7,0) node [below] {$x$};
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\draw [->] (0,-1.5) -- (0,1.5) node [left] {$y$};
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\draw (0,0) node [below left] {$O$};
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\draw [domain = 0:2*pi,samples = 200] plot (\x,{sin(\x/pi*180)}) plot (-\x,{sin(\x/pi*180)});
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\draw [dashed] (pi/2,0) --++ (0,1) -- (-pi/2,1) --++ (0,-1) (3*pi/2,0) --++ (0,-1) -- (-3*pi/2,-1) --++ (0,1);
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\draw (0,1) node [below left] {$1$} (0,-1) node [below left] {$-1$};
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\draw (pi/2,0) node [below] {$\frac{\pi}{2}$} (-pi/2,0) node [below] {$-\frac{\pi}{2}$};
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\draw (3*pi/2,0) node [below] {$\frac{3\pi}{2}$} (-3*pi/2,0) node [below] {$-\frac{3\pi}{2}$};
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\end{tikzpicture}
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018446
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当且仅当$\theta=\dfrac{\pi}{6}$时面积$S$最大, $S$的最大值为$\dfrac{50}{3}\sqrt{3}\text{m}^2$
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024726
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$\dfrac{16}{65}$或$\dfrac{56}{65}$
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010286
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最小正周期为$\dfrac{\pi}{2}$, 最大值为$1$, 最小值为$\dfrac{1}{2}$
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040264
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(1) $\dfrac 23 \pi$; (2) 顶角为$120^\circ$的等腰三角形
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018447
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(1) 偶函数, 理由略; (2) 偶函数, 理由略; (3) 既不是奇函数也不是偶函数, 理由略
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024727
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$\dfrac{\sqrt{5}-1}{4}$
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018448
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(1) $\sin \dfrac{6 \pi}{5}<\sin \dfrac{7 \pi}{6}$; (2) $\sin \dfrac{43 \pi}{7}>\sin (-\dfrac{47 \pi}{8})$
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018449
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$[2k\pi,2k\pi+\pi]$, $k\in \mathbf{Z}$
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018450
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$[-\dfrac{2\pi}{3},-\dfrac{\pi}{6}]$
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018451
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$k\pi+\dfrac{\pi}{2}$, $k\in \mathbf{Z}$
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009601
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(1) 奇函数, 理由略; (2) 偶函数, 理由略; (3) 偶函数, 理由略; (4) 既不是奇函数, 又不是偶函数, 理由略
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009602
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(1) $\sin (-\dfrac \pi {16})>\sin (-\dfrac \pi {13})$; (2) $\sin 715^\circ<\sin (-724^\circ )$
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009603
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(1) 严格增区间: $[2k\pi-\dfrac{\pi}{2},2k\pi+\dfrac{\pi}{2}]$, $k\in \mathbf{Z}$; 严格减区间: $[2k\pi+\dfrac{\pi}{2},2k\pi+\dfrac{3\pi}{2}]$, $k\in \mathbf{Z}$;\\(2) 严格增区间: $[2k\pi+\dfrac{\pi}{2},2k\pi+\dfrac{3\pi}{2}]$, $k\in \mathbf{Z}$; 严格减区间: $[2k\pi-\dfrac{\pi}{2},2k\pi+\dfrac{\pi}{2}]$, $k\in \mathbf{Z}$;\\
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(3) 严格增区间: $[\dfrac{2k\pi}{3}-\dfrac{\pi}{12},\dfrac{2k\pi}{3}+\dfrac{\pi}{4}]$, $k\in \mathbf{Z}$; 严格减区间: $[\dfrac{2k\pi}{3}+\dfrac{\pi}{4},\dfrac{2k\pi}{3}+\dfrac{7\pi}{12}]$, $k\in \mathbf{Z}$;
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018452
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(1) $[0,\dfrac{\pi}{6}]$; (2) $[-\sqrt{3}-1,1]$
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023603
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$[6k\pi+\dfrac{9\pi}{4},6k\pi+\dfrac{21\pi}{4}]$, $k\in \mathbf{Z}$
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010277
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(1) 奇函数, 理由略; (2) 偶函数, 理由略; (3) 既不是奇函数, 又不是偶函数, 理由略
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@ -1,546 +1,2 @@
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usages
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013222
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20240314 2024届高三07班 0.833 FORCE
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20240314 2024届高三07班 0.825
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013228
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20240314 2024届高三07班 0.881 FORCE
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20240314 2024届高三07班 0.875
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013236
|
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20240314 2024届高三07班 0.857 FORCE
|
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20240314 2024届高三07班 0.850
|
||||
|
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014583
|
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20240314 2024届高三07班 0.952 FORCE
|
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20240314 2024届高三07班 0.950
|
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|
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013223
|
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20240314 2024届高三07班 0.738 FORCE
|
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20240314 2024届高三07班 0.750
|
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|
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014579
|
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20240314 2024届高三07班 0.786 FORCE
|
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20240314 2024届高三07班 0.775
|
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|
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014589
|
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20240314 2024届高三07班 0.690 FORCE
|
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20240314 2024届高三07班 0.700
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014075
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20240314 2024届高三07班 0.929 FORCE
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20240314 2024届高三07班 0.925
|
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|
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014588
|
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20240314 2024届高三07班 0.905 0.524 0.571 FORCE
|
||||
20240314 2024届高三07班 0.900 0.525 0.575
|
||||
|
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014578
|
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20240314 2024届高三07班 0.833 0.940 0.643 FORCE
|
||||
20240314 2024届高三07班 0.825 0.938 0.650
|
||||
|
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040956
|
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20240319 2025届高二10班 0.758 FORCE
|
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20240305 2025届高二10班 0.759
|
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|
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040958
|
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20240319 2025届高二10班 0.909 FORCE
|
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20240305 2025届高二10班 0.828
|
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|
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040956
|
||||
20240319 2025届高二11班 0.778 FORCE
|
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20240305 2025届高二11班 0.875
|
||||
|
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040958
|
||||
20240319 2025届高二11班 0.815 FORCE
|
||||
20240305 2025届高二11班 0.792
|
||||
|
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040956
|
||||
20240319 2025届高二01班 0.951 FORCE
|
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20240305 2025届高二01班 1.000
|
||||
|
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040958
|
||||
20240319 2025届高二01班 0.902 FORCE
|
||||
20240305 2025届高二01班 1.000
|
||||
|
||||
040956
|
||||
20240319 2025届高二02班 1.000 FORCE
|
||||
20240305 2025届高二02班 0.950
|
||||
|
||||
040958
|
||||
20240319 2025届高二02班 0.953 FORCE
|
||||
20240305 2025届高二02班 0.950
|
||||
|
||||
040956
|
||||
20240319 2025届高二03班 0.950 FORCE
|
||||
20240305 2025届高二03班 0.946
|
||||
|
||||
040958
|
||||
20240319 2025届高二03班 0.900 FORCE
|
||||
20240305 2025届高二03班 1.000
|
||||
|
||||
040956
|
||||
20240319 2025届高二04班 0.892 FORCE
|
||||
20240305 2025届高二04班 0.912
|
||||
|
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040958
|
||||
20240319 2025届高二04班 0.892 FORCE
|
||||
20240305 2025届高二04班 0.853
|
||||
|
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040956
|
||||
20240319 2025届高二05班 0.795 FORCE
|
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20240305 2025届高二05班 0.857
|
||||
|
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040958
|
||||
20240319 2025届高二05班 0.795 FORCE
|
||||
20240305 2025届高二05班 0.771
|
||||
|
||||
040956
|
||||
20240319 2025届高二07班 0.932 FORCE
|
||||
20240305 2025届高二07班 0.857
|
||||
|
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040958
|
||||
20240319 2025届高二07班 0.909 FORCE
|
||||
20240305 2025届高二07班 0.929
|
||||
|
||||
040956
|
||||
20240319 2025届高二09班 0.895 FORCE
|
||||
20240305 2025届高二09班 0.800
|
||||
|
||||
040958
|
||||
20240319 2025届高二09班 0.947 FORCE
|
||||
20240305 2025届高二09班 0.875
|
||||
|
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021619
|
||||
20240315 2026届高一02班 0.780 FORCE
|
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20240315 2026届高一02班 0.800
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021620
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20240315 2026届高一02班 0.902 FORCE
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20240315 2026届高一02班 0.900
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021615
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20240315 2026届高一02班 0.829 FORCE
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20240315 2026届高一02班 0.825
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|
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021616
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20240315 2026届高一02班 0.927 FORCE
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||||
20240315 2026届高一02班 0.925
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021618
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||||
20240315 2026届高一02班 0.610 FORCE
|
||||
20240315 2026届高一02班 0.600
|
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|
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021629
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||||
20240315 2026届高一02班 0.976 FORCE
|
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20240315 2026届高一02班 0.975
|
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|
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010256
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||||
20240315 2026届高一02班 0.878 FORCE
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20240315 2026届高一02班 0.875
|
||||
|
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010259
|
||||
20240315 2026届高一02班 0.927 FORCE
|
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20240315 2026届高一02班 0.925
|
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|
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010266
|
||||
20240315 2026届高一02班 1.000 0.902 FORCE
|
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20240315 2026届高一02班 1.000 0.900
|
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|
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003606
|
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20240315 2026届高一02班 0.878 0.610 FORCE
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20240315 2026届高一02班 0.875 0.625
|
||||
|
||||
021619
|
||||
20240315 2026届高一04班 0.872 FORCE
|
||||
20240315 2026届高一04班 0.868
|
||||
|
||||
021615
|
||||
20240315 2026届高一04班 0.795 FORCE
|
||||
20240315 2026届高一04班 0.789
|
||||
|
||||
021616
|
||||
20240315 2026届高一04班 0.949 FORCE
|
||||
20240315 2026届高一04班 0.947
|
||||
|
||||
021618
|
||||
20240315 2026届高一04班 0.410 FORCE
|
||||
20240315 2026届高一04班 0.395
|
||||
|
||||
021629
|
||||
20240315 2026届高一04班 0.872 FORCE
|
||||
20240315 2026届高一04班 0.868
|
||||
|
||||
003606
|
||||
20240315 2026届高一04班 0.949 0.718 FORCE
|
||||
20240315 2026届高一04班 0.947 0.711
|
||||
|
||||
014532
|
||||
20240311 2024届高三06班 0.972 0.889 FORCE
|
||||
20240311 2024届高三06班 0.971 0.886
|
||||
|
||||
014533
|
||||
20240311 2024届高三06班 0.944 0.889 0.917 FORCE
|
||||
20240311 2024届高三06班 0.943 0.886 0.914
|
||||
|
||||
012920
|
||||
20240311 2024届高三06班 0.861 FORCE
|
||||
20240311 2024届高三06班 0.857
|
||||
|
||||
014534
|
||||
20240311 2024届高三06班 0.528 FORCE
|
||||
20240311 2024届高三06班 0.514
|
||||
|
||||
012967
|
||||
20240311 2024届高三06班 0.889 FORCE
|
||||
20240311 2024届高三06班 0.886
|
||||
|
||||
012968
|
||||
20240311 2024届高三06班 0.944 FORCE
|
||||
20240311 2024届高三06班 0.943
|
||||
|
||||
012933
|
||||
20240311 2024届高三06班 0.306 FORCE
|
||||
20240311 2024届高三06班 0.286
|
||||
|
||||
013923
|
||||
20240311 2024届高三06班 0.833 FORCE
|
||||
20240311 2024届高三06班 0.829
|
||||
|
||||
014546
|
||||
20240311 2024届高三06班 0.972 FORCE
|
||||
20240311 2024届高三06班 0.971
|
||||
|
||||
014540
|
||||
20240311 2024届高三06班 1.000 0.833 FORCE
|
||||
20240311 2024届高三06班 1.000 0.829
|
||||
|
||||
013007
|
||||
20240311 2024届高三06班 0.653 0.736 0.431 FORCE
|
||||
20240311 2024届高三06班 0.643 0.729 0.443
|
||||
|
||||
032067
|
||||
20240311 2024届高三06班 0.917 0.597 FORCE
|
||||
20240311 2024届高三06班 0.914 0.586
|
||||
|
||||
012928
|
||||
20240320 2024届高三06班 0.472 FORCE
|
||||
20240310 2024届高三06班 0.457
|
||||
|
||||
013919
|
||||
20240320 2024届高三06班 0.778 FORCE
|
||||
20240310 2024届高三06班 0.771
|
||||
|
||||
012965
|
||||
20240320 2024届高三06班 0.722 FORCE
|
||||
20240310 2024届高三06班 0.714
|
||||
|
||||
012951
|
||||
20240320 2024届高三06班 0.861 FORCE
|
||||
20240310 2024届高三06班 0.857
|
||||
|
||||
012955
|
||||
20240320 2024届高三06班 0.611 FORCE
|
||||
20240310 2024届高三06班 0.600
|
||||
|
||||
032068
|
||||
20240320 2024届高三06班 0.889 FORCE
|
||||
20240310 2024届高三06班 0.886
|
||||
|
||||
012953
|
||||
20240320 2024届高三06班 0.917 FORCE
|
||||
20240310 2024届高三06班 0.914
|
||||
|
||||
012981
|
||||
20240320 2024届高三06班 0.778 FORCE
|
||||
20240310 2024届高三06班 0.771
|
||||
|
||||
012969
|
||||
20240320 2024届高三06班 0.778 FORCE
|
||||
20240310 2024届高三06班 0.771
|
||||
|
||||
012972
|
||||
20240320 2024届高三06班 0.944 0.764 FORCE
|
||||
20240310 2024届高三06班 0.943 0.757
|
||||
|
||||
013952
|
||||
20240320 2024届高三06班 0.972 0.875 0.694 FORCE
|
||||
20240310 2024届高三06班 0.971 0.871 0.686
|
||||
|
||||
012942
|
||||
20240312 2024届高三06班 0.529 FORCE
|
||||
20240312 2024届高三06班 0.515
|
||||
|
||||
012941
|
||||
20240312 2024届高三06班 0.794 FORCE
|
||||
20240312 2024届高三06班 0.788
|
||||
|
||||
012976
|
||||
20240312 2024届高三06班 0.853 FORCE
|
||||
20240312 2024届高三06班 0.848
|
||||
|
||||
032069
|
||||
20240312 2024届高三06班 0.500 FORCE
|
||||
20240312 2024届高三06班 0.515
|
||||
|
||||
013002
|
||||
20240312 2024届高三06班 0.882 FORCE
|
||||
20240312 2024届高三06班 0.879
|
||||
|
||||
014550
|
||||
20240312 2024届高三06班 0.500 FORCE
|
||||
20240312 2024届高三06班 0.515
|
||||
|
||||
012966
|
||||
20240312 2024届高三06班 0.941 0.971 FORCE
|
||||
20240312 2024届高三06班 0.939 0.970
|
||||
|
||||
013935
|
||||
20240312 2024届高三06班 0.853 FORCE
|
||||
20240312 2024届高三06班 0.848
|
||||
|
||||
012978
|
||||
20240312 2024届高三06班 0.794 FORCE
|
||||
20240312 2024届高三06班 0.788
|
||||
|
||||
012947
|
||||
20240312 2024届高三06班 0.647 FORCE
|
||||
20240312 2024届高三06班 0.652
|
||||
|
||||
012971
|
||||
20240312 2024届高三06班 0.985 0.765 FORCE
|
||||
20240312 2024届高三06班 0.985 0.758
|
||||
|
||||
032070
|
||||
20240312 2024届高三06班 0.647 0.750 FORCE
|
||||
20240312 2024届高三06班 0.636 0.742
|
||||
|
||||
014586
|
||||
20240322 2024届高三01班 0.969 FORCE
|
||||
20240110 2024届高三01班 0.939
|
||||
|
||||
014587
|
||||
20240322 2024届高三01班 0.656 FORCE
|
||||
20231206 2024届高三01班 0.500
|
||||
|
||||
014083
|
||||
20240318 2024届高三11班 0.760 FORCE
|
||||
20231201 2024届高三11班 0.778
|
||||
|
||||
014585
|
||||
20240318 2024届高三11班 0.840 FORCE
|
||||
20240103 2024届高三11班 0.419
|
||||
|
||||
014083
|
||||
20240318 2024届高三12班 0.826 FORCE
|
||||
20231201 2024届高三12班 0.762
|
||||
|
||||
014585
|
||||
20240318 2024届高三12班 0.826 FORCE
|
||||
20240103 2024届高三12班 0.783
|
||||
|
||||
014083
|
||||
20240318 2024届高三05班 0.714 FORCE
|
||||
20231201 2024届高三05班 0.577
|
||||
|
||||
014585
|
||||
20240318 2024届高三05班 0.714 FORCE
|
||||
20240103 2024届高三05班 0.516
|
||||
|
||||
014083
|
||||
20240318 2024届高三06班 0.743 FORCE
|
||||
20231201 2024届高三06班 0.793
|
||||
|
||||
014083
|
||||
20240318 2024届高三07班 0.658 FORCE
|
||||
20231201 2024届高三07班 0.611
|
||||
|
||||
014585
|
||||
20240318 2024届高三07班 0.737 FORCE
|
||||
20240103 2024届高三07班 0.513
|
||||
|
||||
014083
|
||||
20240318 2024届高三08班 0.737 FORCE
|
||||
20231201 2024届高三08班 0.765
|
||||
|
||||
014585
|
||||
20240318 2024届高三08班 0.789 FORCE
|
||||
20240103 2024届高三08班 0.526
|
||||
|
||||
032071
|
||||
20240313 2024届高三07班 1.000 0.953 1.000 0.953 1.000 0.884 0.977 0.953 0.860 0.977 0.953 0.953 FORCE
|
||||
20240313 2024届高三07班 1.000 0.952 1.000 0.952 1.000 0.905 0.976 0.952 0.881 0.976 0.952 0.952
|
||||
|
||||
040205
|
||||
20240313 2024届高三07班 0.930 0.884 FORCE
|
||||
20240313 2024届高三07班 0.929 0.905
|
||||
|
||||
021376
|
||||
20240313 2024届高三07班 0.977 0.977 FORCE
|
||||
20240313 2024届高三07班 0.976 0.976
|
||||
|
||||
021396
|
||||
20240313 2024届高三07班 0.907 FORCE
|
||||
20240313 2024届高三07班 0.905
|
||||
|
||||
013633
|
||||
20240313 2024届高三07班 0.930 FORCE
|
||||
20240313 2024届高三07班 0.929
|
||||
|
||||
031354
|
||||
20240313 2024届高三07班 0.744 FORCE
|
||||
20240313 2024届高三07班 0.738
|
||||
|
||||
031353
|
||||
20240313 2024届高三07班 0.814 0.814 0.837 0.721 FORCE
|
||||
20240313 2024届高三07班 0.833 0.810 0.833 0.714
|
||||
|
||||
013297
|
||||
20240313 2024届高三07班 0.907 FORCE
|
||||
20240313 2024届高三07班 0.905
|
||||
|
||||
032072
|
||||
20240313 2024届高三07班 0.547 0.860 FORCE
|
||||
20240313 2024届高三07班 0.548 0.869
|
||||
|
||||
030424
|
||||
20240313 2024届高三07班 0.651 0.628 FORCE
|
||||
20240313 2024届高三07班 0.655 0.619
|
||||
|
||||
024644
|
||||
20240315 2026届高一07班 0.923 FORCE
|
||||
20240315 2026届高一07班 0.921
|
||||
|
||||
024645
|
||||
20240315 2026届高一07班 0.897 FORCE
|
||||
20240315 2026届高一07班 0.895
|
||||
|
||||
024646
|
||||
20240315 2026届高一07班 0.641 FORCE
|
||||
20240315 2026届高一07班 0.632
|
||||
|
||||
024647
|
||||
20240315 2026届高一07班 0.949 FORCE
|
||||
20240315 2026届高一07班 0.974
|
||||
|
||||
024648
|
||||
20240315 2026届高一07班 0.949 FORCE
|
||||
20240315 2026届高一07班 0.947
|
||||
|
||||
024649
|
||||
20240315 2026届高一07班 0.795 FORCE
|
||||
20240315 2026届高一07班 0.789
|
||||
|
||||
024650
|
||||
20240315 2026届高一07班 0.923 FORCE
|
||||
20240315 2026届高一07班 0.921
|
||||
|
||||
024651
|
||||
20240315 2026届高一07班 0.897 FORCE
|
||||
20240315 2026届高一07班 0.895
|
||||
|
||||
024652
|
||||
20240315 2026届高一07班 0.949 FORCE
|
||||
20240315 2026届高一07班 0.947
|
||||
|
||||
024653
|
||||
20240315 2026届高一07班 0.795 FORCE
|
||||
20240315 2026届高一07班 0.816
|
||||
|
||||
024654
|
||||
20240315 2026届高一07班 0.872 FORCE
|
||||
20240315 2026届高一07班 0.868
|
||||
|
||||
024655
|
||||
20240315 2026届高一07班 0.744 FORCE
|
||||
20240315 2026届高一07班 0.737
|
||||
|
||||
024657
|
||||
20240315 2026届高一07班 0.718 FORCE
|
||||
20240315 2026届高一07班 0.711
|
||||
|
||||
024658
|
||||
20240315 2026届高一07班 0.744 FORCE
|
||||
20240315 2026届高一07班 0.737
|
||||
|
||||
024659
|
||||
20240315 2026届高一07班 0.949 0.513 FORCE
|
||||
20240315 2026届高一07班 0.947 0.526
|
||||
|
||||
024676
|
||||
20240322 2026届高一10班 0.641 FORCE
|
||||
20231024 2026届高一10班 0.634
|
||||
|
||||
024676
|
||||
20240322 2026届高一12班 0.825 FORCE
|
||||
20231024 2026届高一12班 0.738
|
||||
|
||||
024676
|
||||
20240322 2026届高一01班 0.450 FORCE
|
||||
20231024 2026届高一01班 0.829
|
||||
|
||||
024676
|
||||
20240322 2026届高一02班 0.900 FORCE
|
||||
20231024 2026届高一02班 0.674
|
||||
|
||||
024676
|
||||
20240322 2026届高一03班 0.825 FORCE
|
||||
20231024 2026届高一03班 0.605
|
||||
|
||||
024676
|
||||
20240322 2026届高一04班 0.829 FORCE
|
||||
20231024 2026届高一04班 0.651
|
||||
|
||||
024676
|
||||
20240322 2026届高一05班 0.359 FORCE
|
||||
20231024 2026届高一05班 0.829
|
||||
|
||||
024676
|
||||
20240322 2026届高一06班 0.850 FORCE
|
||||
20231024 2026届高一06班 0.800
|
||||
|
||||
024676
|
||||
20240322 2026届高一07班 0.395 FORCE
|
||||
20231024 2026届高一07班 0.357
|
||||
|
||||
024676
|
||||
20240322 2026届高一09班 0.784 FORCE
|
||||
20231024 2026届高一09班 0.585
|
||||
|
||||
002376
|
||||
20240318 2025届高二10班 1.000 FORCE
|
||||
20240311 2025届高二10班 0.969
|
||||
|
||||
002376
|
||||
20240318 2025届高二11班 0.962 FORCE
|
||||
20240311 2025届高二11班 0.920
|
||||
|
||||
002376
|
||||
20240318 2025届高二01班 0.949 FORCE
|
||||
20240311 2025届高二01班 0.950
|
||||
|
||||
002376
|
||||
20240318 2025届高二02班 1.000 FORCE
|
||||
20240311 2025届高二02班 0.950
|
||||
|
||||
002376
|
||||
20240318 2025届高二03班 0.868 FORCE
|
||||
20240311 2025届高二03班 1.000
|
||||
|
||||
002376
|
||||
20240318 2025届高二04班 0.971 FORCE
|
||||
20240311 2025届高二04班 0.974
|
||||
|
||||
002376
|
||||
20240318 2025届高二05班 1.000 FORCE
|
||||
20240311 2025届高二05班 0.944
|
||||
|
||||
002376
|
||||
20240318 2025届高二07班 0.875 FORCE
|
||||
20240311 2025届高二07班 0.837
|
||||
|
||||
002376
|
||||
20240318 2025届高二09班 0.848 FORCE
|
||||
20240311 2025届高二09班 0.865
|
||||
|
||||
|
|
|
|||
|
|
@ -274451,7 +274451,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "(1) $2\\pi$; (2) $\\dfrac{2\\pi}{3}$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -274473,7 +274473,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "不是, 如$x=0$时, $\\sin (x+\\dfrac{\\pi}{3})\\ne \\sin x$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -274543,7 +274543,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "(1) 定义域为$\\mathbf{R}$, 值域为$[-1,1]$; (2) 定义域为$\\mathbf{R}$, 值域为$[\\dfrac{1}{2},2]$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -274566,7 +274566,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "(1) 最大值为$6$, 最小值为$-4$; (2) 最大值为$\\dfrac{3}{2}$, 最小值为$-3$; (3) 最大值为$2$, 最小值为$-2$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -274589,7 +274589,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "$\\dfrac{\\pi}{4}$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -274611,7 +274611,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "(1) 奇函数, 理由略; (2) 偶函数, 理由略; (3) 偶函数, 理由略; (4) 既不是奇函数, 又不是偶函数, 理由略",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -274633,7 +274633,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "(1) $\\sin (-\\dfrac \\pi {16})>\\sin (-\\dfrac \\pi {13})$; (2) $\\sin 715^\\circ<\\sin (-724^\\circ )$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -274655,7 +274655,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "(1) 严格增区间: $[2k\\pi-\\dfrac{\\pi}{2},2k\\pi+\\dfrac{\\pi}{2}]$, $k\\in \\mathbf{Z}$; 严格减区间: $[2k\\pi+\\dfrac{\\pi}{2},2k\\pi+\\dfrac{3\\pi}{2}]$, $k\\in \\mathbf{Z}$;\\\\(2) 严格增区间: $[2k\\pi+\\dfrac{\\pi}{2},2k\\pi+\\dfrac{3\\pi}{2}]$, $k\\in \\mathbf{Z}$; 严格减区间: $[2k\\pi-\\dfrac{\\pi}{2},2k\\pi+\\dfrac{\\pi}{2}]$, $k\\in \\mathbf{Z}$;\\\\\n(3) 严格增区间: $[\\dfrac{2k\\pi}{3}-\\dfrac{\\pi}{12},\\dfrac{2k\\pi}{3}+\\dfrac{\\pi}{4}]$, $k\\in \\mathbf{Z}$; 严格减区间: $[\\dfrac{2k\\pi}{3}+\\dfrac{\\pi}{4},\\dfrac{2k\\pi}{3}+\\dfrac{7\\pi}{12}]$, $k\\in \\mathbf{Z}$;",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -293765,7 +293765,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "$\\pm \\dfrac{\\pi}{2}$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -293809,7 +293809,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "(1) 奇函数, 理由略; (2) 偶函数, 理由略; (3) 既不是奇函数, 又不是偶函数, 理由略",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -293965,7 +293965,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "$1$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -294009,7 +294009,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "最小正周期为$\\dfrac{\\pi}{2}$, 最大值为$1$, 最小值为$\\dfrac{1}{2}$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -294056,7 +294056,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "(1) $2$; (2) \\begin{tikzpicture}\n\\draw [->] (-6,0) -- (6,0) node [below] {$x$};\n\\draw [->] (0,-3) -- (0,3) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\foreach \\i in {-4,-3,-2,-1,1,2,3,4}\n{\\draw (\\i,0.1) -- (\\i,0) node [below] {$\\i$};};\n\\foreach \\i in {-2,-1,1,2}\n{\\draw (0.1,\\i) -- (0,\\i) node [left] {$\\i$};};\n\\draw [dashed] (-5,2) -- (-4,0) -- (-3,2) -- (-2,0) -- (-1,2) -- (0,0) -- (1,2) -- (2,0) -- (3,2) -- (4,0) -- (5,2);\n\\draw (-6,2) -- (-5,0) -- (-4,2) -- (-3,0) -- (-2,2) -- (-1,0) -- (0,2) -- (1,0) -- (2,2) -- (3,0) -- (4,2) -- (5,0) -- (6,2);\n\\end{tikzpicture}",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -510588,7 +510588,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "(1) $\\dfrac{2\\pi}{3}$; (2) $4\\pi$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -510610,7 +510610,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "$\\pm \\pi$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -510632,7 +510632,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$\\pi$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -510654,7 +510654,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "$2+\\sqrt{3}$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -510676,7 +510676,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "(1) 最大值为$2$, 当且仅当$x=\\dfrac{2k\\pi}{3}+\\dfrac{7\\pi}{18}$, $k\\in \\mathbf{Z}$时取到; 最小值为$-2$, 当且仅当$x=\\dfrac{2k\\pi}{3}+\\dfrac{\\pi}{18}$, $k\\in \\mathbf{Z}$时取到;\\\\(2) 最大值为$2$, 当且仅当$x=2k\\pi+\\dfrac{\\pi}{6}$, $k\\in \\mathbf{Z}$时取到; 最小值为$-2$, 当且仅当$x=2k\\pi+\\dfrac{7\\pi}{6}$, $k\\in \\mathbf{Z}$时取到;\\\\最大值为$2$, 当且仅当$x=2k\\pi+\\dfrac{3\\pi}{2}$, $k\\in \\mathbf{Z}$时取到; 最小值为$-\\dfrac{1}{4}$, 当且仅当$x=2k\\pi+\\dfrac{\\pi}{6}$或$2k\\pi+\\dfrac{5\\pi}{6}$, $k\\in \\mathbf{Z}$时取到;\\\\(4) 最大值为$4$, 当且仅当$x=k\\pi+\\dfrac{\\pi}{6}$, $k\\in \\mathbf{Z}$时取到; 最小值为$0$, 当且仅当$x=k\\pi+\\dfrac{2\\pi}{3}$, $k\\in \\mathbf{Z}$时取到",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -510698,7 +510698,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "应截取$AB=\\sqrt{2}r$, $BC=\\dfrac{\\sqrt{2}}{2}r$, 这时矩形$ABCD$的面积达到最大值$r^2$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -510720,7 +510720,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "最大值为$\\sqrt{2}$, 取到最大值的$x$的集合为$\\{x|x=\\dfrac{k\\pi}{2}+\\dfrac{\\pi}{4}, \\ k\\in \\mathbf{Z}\\}$; 最小值为$1$, 取到最小值的$x$的集合为$\\{x|x=\\dfrac{k\\pi}{2}, \\ k\\in \\mathbf{Z}\\}$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -510742,7 +510742,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "当且仅当$\\theta=\\dfrac{\\pi}{6}$时面积$S$最大, $S$的最大值为$\\dfrac{50}{3}\\sqrt{3}\\text{m}^2$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -510764,7 +510764,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "(1) 偶函数, 理由略; (2) 偶函数, 理由略; (3) 既不是奇函数也不是偶函数, 理由略",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -510786,7 +510786,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "(1) $\\sin \\dfrac{6 \\pi}{5}<\\sin \\dfrac{7 \\pi}{6}$; (2) $\\sin \\dfrac{43 \\pi}{7}>\\sin (-\\dfrac{47 \\pi}{8})$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -510808,7 +510808,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "$[2k\\pi,2k\\pi+\\pi]$, $k\\in \\mathbf{Z}$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -510830,7 +510830,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "$[-\\dfrac{2\\pi}{3},-\\dfrac{\\pi}{6}]$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -510852,7 +510852,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$k\\pi+\\dfrac{\\pi}{2}$, $k\\in \\mathbf{Z}$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -510874,7 +510874,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "(1) $[0,\\dfrac{\\pi}{6}]$; (2) $[-\\sqrt{3}-1,1]$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -604333,7 +604333,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "(1) 假;(1) 假;(3) 真.",
|
||||
"ans": "(1) 假; (2) 假;(3) 真.",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [
|
||||
|
|
@ -661022,7 +661022,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$[6k\\pi+\\dfrac{9\\pi}{4},6k\\pi+\\dfrac{21\\pi}{4}]$, $k\\in \\mathbf{Z}$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -688501,7 +688501,7 @@
|
|||
"objs": [],
|
||||
"tags": [],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "不是, 如$x=\\dfrac{\\pi}{3}$时, $\\sin (x+\\dfrac{2\\pi}{3})\\ne \\sin x$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
|
|||
Reference in New Issue