录入一些答案
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@ -1,204 +1,90 @@
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usages
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ans
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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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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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\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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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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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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\end{tikzpicture}
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040956
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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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018436
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$\dfrac{1}{2}$或$-\dfrac{3}{2}$
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040958
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20240319 2025届高二11班 0.815 FORCE
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20240305 2025届高二11班 0.792
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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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040956
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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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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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040958
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20240319 2025届高二01班 0.902 FORCE
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20240305 2025届高二01班 1.000
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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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040956
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20240319 2025届高二02班 1.000 FORCE
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20240305 2025届高二02班 0.950
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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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040958
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20240319 2025届高二02班 0.953 FORCE
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20240305 2025届高二02班 0.950
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018438
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$(1,3)$
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040956
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20240319 2025届高二03班 0.950 FORCE
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20240305 2025届高二03班 0.946
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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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040958
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20240319 2025届高二03班 0.900 FORCE
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20240305 2025届高二03班 1.000
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024726
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$\dfrac{16}{65}$或$\dfrac{56}{65}$
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040956
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20240319 2025届高二04班 0.892 FORCE
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20240305 2025届高二04班 0.912
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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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040958
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20240319 2025届高二04班 0.892 FORCE
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20240305 2025届高二04班 0.853
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040956
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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
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20240319 2025届高二05班 0.795 FORCE
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20240305 2025届高二05班 0.771
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040956
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20240319 2025届高二07班 0.932 FORCE
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20240305 2025届高二07班 0.857
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040958
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20240319 2025届高二07班 0.909 FORCE
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20240305 2025届高二07班 0.929
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040956
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20240319 2025届高二09班 0.895 FORCE
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20240305 2025届高二09班 0.800
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040958
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20240319 2025届高二09班 0.947 FORCE
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20240305 2025届高二09班 0.875
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014586
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20240322 2024届高三01班 0.969 FORCE
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20240110 2024届高三01班 0.939
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014587
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20240322 2024届高三01班 0.656 FORCE
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20231206 2024届高三01班 0.500
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014083
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20240318 2024届高三11班 0.760 FORCE
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20231201 2024届高三11班 0.778
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014585
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20240318 2024届高三11班 0.840 FORCE
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20240103 2024届高三11班 0.419
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014083
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20240318 2024届高三12班 0.826 FORCE
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20231201 2024届高三12班 0.762
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014585
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20240318 2024届高三12班 0.826 FORCE
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20240103 2024届高三12班 0.783
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014083
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20240318 2024届高三05班 0.714 FORCE
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20231201 2024届高三05班 0.577
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014585
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20240318 2024届高三05班 0.714 FORCE
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20240103 2024届高三05班 0.516
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014083
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20240318 2024届高三06班 0.743 FORCE
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20231201 2024届高三06班 0.793
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014083
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20240318 2024届高三07班 0.658 FORCE
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20231201 2024届高三07班 0.611
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014585
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20240318 2024届高三07班 0.737 FORCE
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20240103 2024届高三07班 0.513
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014083
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20240318 2024届高三08班 0.737 FORCE
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20231201 2024届高三08班 0.765
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014585
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20240318 2024届高三08班 0.789 FORCE
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20240103 2024届高三08班 0.526
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024676
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20240322 2026届高一10班 0.641 FORCE
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20231024 2026届高一10班 0.634
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024676
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20240322 2026届高一12班 0.825 FORCE
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20231024 2026届高一12班 0.738
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024676
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20240322 2026届高一01班 0.450 FORCE
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20231024 2026届高一01班 0.829
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024676
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20240322 2026届高一02班 0.900 FORCE
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20231024 2026届高一02班 0.674
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024676
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20240322 2026届高一03班 0.825 FORCE
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20231024 2026届高一03班 0.605
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024676
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20240322 2026届高一04班 0.829 FORCE
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20231024 2026届高一04班 0.651
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024676
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20240322 2026届高一05班 0.359 FORCE
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20231024 2026届高一05班 0.829
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024676
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20240322 2026届高一06班 0.850 FORCE
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20231024 2026届高一06班 0.800
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024676
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20240322 2026届高一07班 0.395 FORCE
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20231024 2026届高一07班 0.357
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024676
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20240322 2026届高一09班 0.784 FORCE
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20231024 2026届高一09班 0.585
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002376
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20240318 2025届高二10班 1.000 FORCE
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20240311 2025届高二10班 0.969
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002376
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20240318 2025届高二11班 0.962 FORCE
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20240311 2025届高二11班 0.920
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002376
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20240318 2025届高二01班 0.949 FORCE
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20240311 2025届高二01班 0.950
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002376
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20240318 2025届高二02班 1.000 FORCE
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20240311 2025届高二02班 0.950
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002376
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20240318 2025届高二03班 0.868 FORCE
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20240311 2025届高二03班 1.000
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002376
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20240318 2025届高二04班 0.971 FORCE
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20240311 2025届高二04班 0.974
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002376
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20240318 2025届高二05班 1.000 FORCE
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20240311 2025届高二05班 0.944
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002376
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20240318 2025届高二07班 0.875 FORCE
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20240311 2025届高二07班 0.837
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002376
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20240318 2025届高二09班 0.848 FORCE
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20240311 2025届高二09班 0.865
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024727
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$\dfrac{\sqrt{5}-1}{4}$
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@ -274382,7 +274382,7 @@
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"第三单元"
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],
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"genre": "解答题",
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"ans": "",
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"ans": "\\begin{tikzpicture}[>=latex]\n\\draw [->] (-3.5,0) -- (3.5,0) node [below] {$x$};\n\\draw [->] (0,-1.5) -- (0,1.5) node [left] {$y$};\n\\draw (0,0) node [below right] {$O$};\n\\draw [domain = -pi:pi, samples = 100] plot (\\x,{sin(\\x*180/pi)});\n\\draw [dashed] (-pi/2,0) --++ (0,-1) -- (0,-1) (pi/2,0) --++ (0,1) -- (0,1);\n\\draw (-pi/2,0) node [above] {$-\\frac{\\pi}{2}$} (pi/2,0) node [below] {$\\frac{\\pi}{2}$};\n\\draw (0,1) node [left] {$1$} (0,-1) node [right] {$-1$};\n\\end{tikzpicture}",
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"solution": "",
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"duration": -1,
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"usages": [],
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@ -274407,7 +274407,7 @@
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"第三单元"
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],
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"genre": "解答题",
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"ans": "",
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"ans": "\\begin{tikzpicture}[>=latex]\n\\draw [->] (-0.5,0) -- (7,0) node [below] {$x$};\n\\draw [->] (0,-1) -- (0,2) node [left] {$y$};\n\\draw (0,0) node [below right] {$O$};\n\\draw [domain = 0:2*pi, samples = 100] plot (\\x,{1/2-sin(\\x*180/pi)});\n\\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);\n\\draw (3*pi/2,0) node [below] {$\\frac{3\\pi}{2}$} (pi/2,0) node [above] {$\\frac{\\pi}{2}$};\n\\draw (0,0.5) node [left] {$\\frac{1}{2}$} (0,1.5) node [left] {$\\frac{3}{2}$} (0,-0.5) node [left] {$-\\frac{1}{2}$};\n\\end{tikzpicture}\n$y>0$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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"solution": "",
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"duration": -1,
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"usages": [],
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@ -274429,7 +274429,7 @@
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"第三单元"
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],
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"genre": "解答题",
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"ans": "",
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"ans": "\\begin{tikzpicture}[>=latex,scale = 0.5]\n\\draw [->] (-7,0) -- (7,0) node [below] {$x$};\n\\draw [->] (0,-1.5) -- (0,3.5) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw [dashed, domain = -7:7, samples = 100] plot (\\x,{sin(\\x/pi*180)});\n\\draw [domain = -7:7, samples = 100] plot (\\x,{2+sin(\\x/pi*180)});\n\\end{tikzpicture}\n$y=2+\\sin x$的图像由$y=\\sin x$的图像向上平移$2$单位得到",
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"solution": "",
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"duration": -1,
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"usages": [],
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@ -510478,7 +510478,7 @@
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"第三单元"
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],
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"genre": "解答题",
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"ans": "",
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"ans": "\\begin{tikzpicture}[>=latex]\n\\draw [->] (-1,0) -- (7,0) node [below] {$x$};\n\\draw [->] (0,-0.5) -- (0,2.5) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw [domain = 0:{2*pi}, samples = 100] plot (\\x,{1-sin(\\x*180/pi)});\n\\draw (0,1) node [left] {$1$} (0,2) node [left] {$2$};\n\\draw [dashed] ({pi/2*3},2) -- (0,2);\n\\draw ({pi/2},0) node [below] {$\\frac{\\pi}{2}$} ({pi*3/2},0) node [below] {$\\frac{3\\pi}{2}$};\n\\draw (pi,0) node [below] {$\\pi$} (2*pi,0) node [below] {$2\\pi$};\n\\draw [dashed] (2*pi,0) --++ (0,1) -- (0,1) (pi,0) --++ (0,1) (3*pi/2,0) --++ (0,2);\n\\end{tikzpicture}\n取值范围为$(0,\\pi)$",
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"solution": "",
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"duration": -1,
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"usages": [],
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@ -510500,7 +510500,7 @@
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"第三单元"
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],
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"genre": "解答题",
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"ans": "",
|
||||
"ans": "\\begin{tikzpicture}[>=latex]\n\\draw [->] (-2,0) -- (5.5,0) node [below] {$x$};\n\\draw [->] (0,-0.5) -- (0,3.5) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw [domain = -pi/2:{3*pi/2}, samples = 100] plot (\\x,{2-sin(\\x*180/pi)});\n\\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);\n\\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] {$\\frac{3\\pi}{2}$};\n\\draw (0,1) node [left] {$1$} (0,2) node [above right] {$2$} (0,3) node [above right] {$3$};\n\\end{tikzpicture}",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -510522,7 +510522,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$\\dfrac{1}{2}$或$-\\dfrac{3}{2}$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -510544,7 +510544,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$(-\\dfrac{2\\pi}{3},-\\dfrac{\\pi}{3})\\cup (\\dfrac{\\pi}{3},\\dfrac{2\\pi}{3})$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -510566,7 +510566,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$(1,3)$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -660975,7 +660975,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "\\begin{tikzpicture}[>=latex, scale = 0.6]\n\\draw [->] (-7,0) -- (7,0) node [below] {$x$};\n\\draw [->] (0,-1.5) -- (0,1.5) node [left] {$y$};\n\\draw (0,0) node [below left] {$O$};\n\\draw [domain = 0:2*pi,samples = 200] plot (\\x,{sin(\\x/pi*180)}) plot (-\\x,{sin(\\x/pi*180)});\n\\draw [dashed] (pi/2,0) --++ (0,1) -- (-pi/2,1) --++ (0,-1) (3*pi/2,0) --++ (0,-1) -- (-3*pi/2,-1) --++ (0,1);\n\\draw (0,1) node [below left] {$1$} (0,-1) node [below left] {$-1$};\n\\draw (pi/2,0) node [below] {$\\frac{\\pi}{2}$} (-pi/2,0) node [below] {$-\\frac{\\pi}{2}$};\n\\draw (3*pi/2,0) node [below] {$\\frac{3\\pi}{2}$} (-3*pi/2,0) node [below] {$-\\frac{3\\pi}{2}$};\n\\end{tikzpicture}",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -688428,7 +688428,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "填空题",
|
||||
"ans": "",
|
||||
"ans": "$\\dfrac{16}{65}$或$\\dfrac{56}{65}$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -688455,7 +688455,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "",
|
||||
"ans": "$\\dfrac{\\sqrt{5}-1}{4}$",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
@ -756855,7 +756855,7 @@
|
|||
"第三单元"
|
||||
],
|
||||
"genre": "解答题",
|
||||
"ans": "(1) $\\dfrac 23 \\pi$; (2) 等腰钝角三角形",
|
||||
"ans": "(1) $\\dfrac 23 \\pi$; (2) 顶角为$120^\\circ$的等腰三角形",
|
||||
"solution": "",
|
||||
"duration": -1,
|
||||
"usages": [],
|
||||
|
|
|
|||
Reference in New Issue