考題鑑別度分析

Table 1
主題 年度 學期 組別 期考類別 題號 鑑別度 難易度 相關係數 平均 總分 高分群答對率 低分群答對率 題目
  101 1 A1 期中 1 0.287 0.608 0.520 7.232 12 0.751 0.465 Evaluate the following limits.
(a) $\lim\limits_{x\rightarrow 2^-}\frac{x-\sqrt{2x}}{|x^2-4|}$.
(b) $\lim\limits_{x\rightarrow 0}\frac{1-\sin^2(ax)-\cos(ax)}{1+\sin^2(bx)-\cos(bx)}$, where $a$ and $b$ are non-zero real numbers.
  101 1 A1 期中 2 0.486 0.538 0.657 6.457 12 0.781 0.295 Suppose that $f(x)$ is differentiable on $(-1,1)$ with $\lim\limits_{x\rightarrow 0}\frac{f(x)}{x^2}=L$, where $L$ is a constant.
Define $g(x)=\begin{cases}f(x)\sin (\frac{1}{x})&\mbox{, for }0 < |x| < 1;\\ A&\mbox{, for } x=0.\end{cases}$
(a) Find $f(0)$ and $f'(0)$.
(b) If $g$ is continuous at $x=0$, find the value of $A$ and compute $g'(0)$.
(c) Write down a formula of $g'(x)$ in terms of $f(x)$ and $f'(x)$ for $0 < |x| < 1$.
(d) Suppose that $f'(x)$ and $g'(x)$ are both continuous at $0$. Find the value of $L$.
  101 1 A1 期中 3 0.518 0.394 0.566 4.439 12 0.653 0.135 Let $a<b$. A function $f$ in said to be a $\underline{contraction}$ on $[a,b]$ if there exists $K$, $0<K<1$, such that for all $x_1,x_2\in [a,b]$ we have $\left|f(x_1)-f(x_2)\right|\leq K\left|x_1-x_2\right|$.
(a) Show by the $\epsilon-\delta$ definition that if $f$ is a contraction on $[a,b]$, then $f$ is continuous on $[a,b]$.
(b) Suppose that $f$ is continuous on $[a,b]$ and differentiable on $(a,b)$ with $\left|f'(x)\right|\leq q$, $0<q<1$, for all $x\in (a,b)$. Show that $f$ is a contraction on $[a,b]$ and has at most one fixed point on $[a,b]$. (A point $c\in [a,b]$ is called a fixed point of $f$ if $f(c)=c$.)
  101 1 A1 期中 4 0.409 0.702 0.531 8.748 12 0.906 0.497 Suppose $ABC$ is a triangle with vertices $A=(-5,0)$, $B=(0,10)$ and $C=(5,0)$. Let $P$ be a point on the line segment that join $B$ to the origin. Find the position of $P$ that minimizes the sum of distances between $P$ and the three vertices of the triangle $ABC$.
  101 1 A1 期中 5 0.312 0.328 0.614 4.042 12 0.484 0.172 Suppose that $f(x)$ is continuous and increasing on $[-1,2]$ with $f(x)>0$. Let $F(x)=\int_0^x\left(t\int_1^tf(u)du\right)dt$.
(a) Classify all critical points of $F(x)$ in $(-1,2)$.
(b) Show that $F''(x)$ is increasing on $(0,1)$ and there is a point of inflection of $F(x)$ on $(\frac{1}{2},1)$.
  101 1 A1 期中 6 0.496 0.528 0.703 6.775 12 0.776 0.280 From the equation $\sqrt{1+y}-\int_0^{x^2-1}\frac{dt}{1+t^2}+\tan(xy)=1$, a differentiable function $y=y(x)$ can be determined around $(x,y)=(1,0)$.
(a) Evaluate $y'$ at $(x,y)=(1,0)$.
(b) Evaluate $y''$ at $(x,y)=(1,0)$ and determine the concavity of $y=y(x)$ around this point.
  101 1 A1 期中 7 0.691 0.504 0.688 6.018 12 0.850 0.159 Express the following limit as a definite integral of certain function and then evaluate the integral:
\[\lim\limits_{n\rightarrow\infty}\frac{1}{\sqrt{n}}\sum_{k=1}^{n} \frac{1}{\sqrt{n+\sqrt{nk}}}.\]
  101 1 A1 期中 8 0.391 0.555 0.634 8.951 16 0.751 0.360 Let $f(x)=3\frac{x^{\frac{2}{3}}}{x-1}$.
(a) Find all critical points.
(b) Find the intervals of increasing and intervals of decreasing.
(c) Find the intervals on which $f$ is concave up and intervals on which $f$ is concave down.
(d) Find the points of inflection.
(e) Determine whether $f$ has any vertical tangent or vertical cusps.
(f) Find all vertical or horizontal asymptotes.
(g) Draw the graph of $f(x)$.
  101 1 A1 期末 1 0.369 0.692 0.517 10.644 15 0.876 0.507  
  101 1 A1 期末 2 0.541 0.590 0.654 9.116 15 0.860 0.320  
  101 1 A1 期末 3 0.608 0.514 0.576 8.167 15 0.818 0.210  
  101 1 A1 期末 4 0.637 0.418 0.600 5.381 15 0.736 0.099  
  101 1 A1 期末 5 0.507 0.435 0.652 6.984 15 0.688 0.181  
  101 1 A1 期末 6 0.406 0.503 0.644 7.621 15 0.706 0.299  
  101 1 A1 期末 7 0.431 0.241 0.599 3.032 15 0.456 0.025  
  101 1 A2 期中 1 0.527 0.629 0.630 9.040 15 0.893 0.366  
  101 1 A2 期中 2 0.627 0.658 0.634 7.270 10 0.971 0.344  
  101 1 A2 期中 3 0.318 0.814 0.612 8.639 10 0.973 0.655  
  101 1 A2 期中 4 0.394 0.767 0.587 7.989 10 0.964 0.570  
  101 1 A2 期中 5 0.265 0.816 0.626 21.078 25 0.949 0.683  
  101 1 A2 期中 6 0.417 0.588 0.602 6.125 10 0.797 0.380  
  101 1 A2 期中 7 0.499 0.546 0.591 5.484 10 0.796 0.297  
  101 1 A2 期中 8 0.358 0.787 0.607 8.369 10 0.966 0.608  
  101 1 A2 期末 1 0.294 0.715 0.544 7.592 10 0.861 0.568  
  101 1 A2 期末 2 0.525 0.678 0.601 7.819 10 0.941 0.416  
  101 1 A2 期末 3 0.443 0.551 0.620 5.393 10 0.772 0.329  
  101 1 A2 期末 4 0.444 0.629 0.576 6.434 10 0.851 0.407  
  101 1 A2 期末 5 0.646 0.608 0.629 6.499 10 0.931 0.285  
  101 1 A2 期末 6 0.599 0.451 0.709 5.277 12 0.751 0.152  
  101 1 A2 期末 7 0.446 0.229 0.523 1.545 10 0.451 0.006  
  101 1 A2 期末 8 0.525 0.529 0.644 5.210 10 0.791 0.266  
  101 1 A2 期末 9 0.679 0.394 0.637 3.285 10 0.733 0.054  
  101 1 A2 期末 10 0.538 0.452 0.543 3.690 8 0.721 0.183  
  101 2 A1 期中 1 0.639 0.480 0.737 7.099 15 0.799 0.160  
  101 2 A1 期中 2 0.752 0.537 0.764 7.775 15 0.912 0.161  
  101 2 A1 期中 3 0.348 0.784 0.681 12.150 15 0.958 0.610  
  101 2 A1 期中 4 0.406 0.553 0.683 8.188 15 0.756 0.350  
  101 2 A1 期中 5 0.442 0.653 0.722 10.225 15 0.874 0.432  
  101 2 A1 期中 6 0.416 0.536 0.690 8.488 15 0.744 0.328  
  101 2 A1 期中 7 0.656 0.665 0.729 11.444 15 0.993 0.337  
  101 2 A1 期末 1 0.293 0.832 0.541 8.701 10 0.978 0.685  
  101 2 A1 期末 2 0.484 0.676 0.669 10.189 15 0.918 0.434  
  101 2 A1 期末 3 0.462 0.731 0.689 11.324 15 0.962 0.500  
  101 2 A1 期末 4 0.475 0.699 0.685 10.968 15 0.937 0.462  
  101 2 A1 期末 5 0.521 0.718 0.701 11.836 15 0.978 0.458  
  101 2 A1 期末 6 0.616 0.538 0.758 8.250 15 0.846 0.230  
  101 2 A1 期末 7 0.726 0.512 0.796 7.181 15 0.875 0.149  
  101 2 A2 期中 1 0.535 0.585 0.659 6.930 12 0.853 0.318  
  101 2 A2 期中 2 0.236 0.849 0.539 10.357 12 0.967 0.731  
  101 2 A2 期中 3 0.705 0.477 0.735 5.847 12 0.830 0.125  
  101 2 A2 期中 4 0.559 0.597 0.711 7.448 12 0.877 0.318  
  101 2 A2 期中 5 0.364 0.769 0.605 8.014 10 0.951 0.587  
  101 2 A2 期中 6 0.540 0.657 0.775 10.128 15 0.927 0.388  
  101 2 A2 期中 7 0.697 0.585 0.714 7.645 12 0.933 0.237  
  101 2 A2 期中 8 0.433 0.756 0.689 12.324 15 0.973 0.540  
  101 2 A2 期末 1 0.431 0.648 0.581 6.675 10 0.863 0.433  
  101 2 A2 期末 2 0.616 0.554 0.654 6.855 12 0.862 0.246  
  101 2 A2 期末 3 0.592 0.663 0.676 8.576 12 0.959 0.367  
  101 2 A2 期末 4 0.548 0.355 0.575 4.185 12 0.629 0.081  
  101 2 A2 期末 5 0.449 0.676 0.689 7.173 10 0.901 0.452  
  101 2 A2 期末 6 0.654 0.606 0.751 7.711 12 0.933 0.279  
  101 2 A2 期末 7 0.649 0.436 0.708 4.711 12 0.760 0.111  
  101 2 A2 期末 8 0.291 0.820 0.499 8.516 10 0.966 0.675  
  101 2 A2 期末 9 0.415 0.567 0.459 5.799 10 0.775 0.360  
  102 1 A1 期中 1 0.535 0.398 0.730 7.580 20 0.665 0.130  
  102 1 A1 期中 2 0.271 0.837 0.625 13.287 15 0.973 0.701  
  102 1 A1 期中 3 0.552 0.620 0.731 10.010 15 0.896 0.344  
  102 1 A1 期中 4 0.546 0.632 0.624 9.793 15 0.905 0.358  
  102 1 A1 期中 5 0.554 0.443 0.626 4.544 10 0.720 0.167  
  102 1 A1 期中 6 0.428 0.497 0.640 7.299 15 0.711 0.283  
  102 1 A1 期中 7 0.349 0.470 0.659 9.157 20 0.644 0.295  
  102 1 A1 期末 1 0.657 0.432 0.583 3.790 10 0.761 0.104  
  102 1 A1 期末 2 0.397 0.727 0.644 11.572 15 0.926 0.529  
  102 1 A1 期末 3 0.514 0.623 0.739 13.423 20 0.880 0.366  
  102 1 A1 期末 4 0.422 0.338 0.631 3.321 10 0.549 0.127  
  102 1 A1 期末 5 0.484 0.518 0.677 5.495 10 0.760 0.276  
  102 1 A1 期末 6 0.500 0.409 0.619 7.684 20 0.659 0.159  
  102 1 A1 期末 7 0.473 0.702 0.638 11.258 15 0.939 0.465  
  102 1 A1 期末 8 0.341 0.280 0.550 2.700 10 0.451 0.110  
  102 1 A2 期中 1 0.480 0.750 0.594 7.223 9 0.989 0.510  
  102 1 A2 期中 2 0.743 0.605 0.696 5.651 9 0.976 0.233  
  102 1 A2 期中 3 0.315 0.788 0.597 7.363 9 0.945 0.630  
  102 1 A2 期中 4 0.548 0.666 0.616 5.876 9 0.940 0.392  
  102 1 A2 期中 5 0.452 0.704 0.655 6.767 9 0.930 0.478  
  102 1 A2 期中 6 0.445 0.743 0.561 7.865 10 0.965 0.521  
  102 1 A2 期中 7 0.465 0.689 0.659 7.404 10 0.921 0.457  
  102 1 A2 期中 8 0.638 0.578 0.701 9.004 15 0.897 0.259  
  102 1 A2 期中 9 0.295 0.842 0.666 17.930 20 0.990 0.695  
  102 1 A2 期末 1 0.477 0.718 0.737 11.045 15 0.956 0.479  
  102 1 A2 期末 2 0.430 0.700 0.694 7.537 10 0.915 0.485  
  102 1 A2 期末 3 0.473 0.438 0.668 6.004 15 0.674 0.202  
  102 1 A2 期末 4 0.481 0.711 0.780 11.632 15 0.951 0.470  
  102 1 A2 期末 5 0.519 0.656 0.715 7.006 10 0.915 0.396  
  102 1 A2 期末 6 0.495 0.692 0.684 7.443 10 0.939 0.444  
  102 1 A2 期末 7 0.361 0.785 0.620 12.433 15 0.966 0.605  
  102 1 A2 期末 8 0.562 0.491 0.657 4.734 10 0.772 0.210  
  102 2 A1 期中 1 0.434 0.473 0.650 6.240 15 0.690 0.255  
  102 2 A1 期中 2 0.468 0.534 0.678 5.290 10 0.768 0.300  
  102 2 A1 期中 3 0.613 0.451 0.653 5.770 15 0.758 0.145  
  102 2 A1 期中 4 0.355 0.803 0.675 16.970 20 0.980 0.625  
  102 2 A1 期中 5 0.484 0.648 0.579 6.630 10 0.890 0.406  
  102 2 A1 期中 6 0.801 0.564 0.821 13.300 20 0.965 0.164  
  102 2 A1 期中 7 0.436 0.607 0.645 6.220 10 0.824 0.389  
  102 2 A1 期中 8 0.484 0.561 0.658 5.930 10 0.803 0.319  
  102 2 A1 期末 1 0.543 0.343 0.549 3.350 10 0.615 0.072  
  102 2 A1 期末 2 0.543 0.605 0.537 6.120 10 0.876 0.333  
  102 2 A1 期末 3 0.366 0.791 0.571 8.380 10 0.974 0.608  
  102 2 A1 期末 4 0.327 0.295 0.424 2.860 10 0.459 0.131  
  102 2 A1 期末 5 0.398 0.417 0.524 4.170 10 0.616 0.218  
  102 2 A1 期末 6 0.454 0.750 0.628 8.110 10 0.976 0.523  
  102 2 A1 期末 7 0.672 0.502 0.673 5.510 10 0.838 0.167  
  102 2 A1 期末 8 0.660 0.544 0.728 8.670 15 0.874 0.214  
  102 2 A1 期末 9 0.492 0.315 0.656 4.070 15 0.561 0.069  
  102 2 A1 期末 10 0.511 0.593 0.591 6.110 10 0.848 0.337  
  102 2 A2 期中 1 0.203 0.539 0.459 5.400 10 0.640 0.437  
  102 2 A2 期中 2 0.469 0.268 0.508 2.140 10 0.502 0.033  
  102 2 A2 期中 3 0.479 0.730 0.739 11.840 15 0.969 0.490  
  102 2 A2 期中 4 0.403 0.695 0.707 11.100 15 0.897 0.494  
  102 2 A2 期中 5 0.392 0.509 0.703 8.230 15 0.705 0.313  
  102 2 A2 期中 6 0.329 0.737 0.657 7.800 10 0.902 0.573  
  102 2 A2 期中 7 0.550 0.624 0.688 6.670 10 0.899 0.350  
  102 2 A2 期中 8 0.443 0.554 0.702 8.150 15 0.776 0.332  
  102 2 A2 期末 1 0.211 0.882 0.448 9.010 10 0.988 0.777  
  102 2 A2 期末 2 0.273 0.832 0.625 8.560 10 0.968 0.695  
  102 2 A2 期末 3 0.272 0.860 0.666 13.650 15 0.996 0.724  
  102 2 A2 期末 4 0.296 0.808 0.462 8.120 10 0.956 0.660  
  102 2 A2 期末 5 0.493 0.720 0.665 7.620 10 0.966 0.473  
  102 2 A2 期末 6 0.727 0.603 0.778 9.790 15 0.967 0.239  
  102 2 A2 期末 7 0.432 0.746 0.733 11.570 15 0.962 0.531  
  102 2 A2 期末 8 0.642 0.642 0.781 10.720 15 0.963 0.321  
  107 1 A 期中 1 0.509 0.608 0.732 9.260 15 0.863 0.354  
  107 1 A 期中 2 0.359 0.700 0.789 14.410 20 0.879 0.521  
  107 1 A 期中 3 0.462 0.597 0.773 9.500 15 0.828 0.366  
  107 1 A(無電機) 期中 4 0.297 0.514 0.691 6.640 12 0.662 0.365  
  107 1 電機 期中 4 0.508 0.517 0.692 5.980 12 0.771 0.264  
  107 1 A(無經濟) 期中 5 0.469 0.683 0.732 8.780 12 0.918 0.449  
  107 1 經濟 期中 5 0.512 0.624 0.695 7.900 12 0.880 0.368  
  107 1 A 期中 6 0.699 0.599 0.684 6.270 10 0.949 0.250  
  107 1 A 期中 7 0.530 0.611 0.795 10.200 16 0.876 0.346  
  107 1 A 期末 1 0.362 0.794 0.722 12.790 15 0.975 0.613  
  107 1 A 期末 2 0.589 0.606 0.659 7.390 12 0.901 0.311  
  107 1 A 期末 3 0.601 0.525 0.745 8.120 15 0.825 0.225  
  107 1 A 期末 4 0.588 0.512 0.777 8.840 16 0.806 0.218  
  107 1 A(無電機) 期末 5 0.540 0.619 0.762 10.340 16 0.889 0.349  
  107 1 電機 期末 5 0.445 0.714 0.805 11.880 16 0.936 0.491  
  107 1 A 期末 6 0.638 0.565 0.779 8.190 14 0.884 0.246  
  107 1 A 期末 7 0.618 0.602 0.757 7.560 12 0.911 0.293  
  107 2 A 期中 1 0.284 0.491 0.572 5.420 11 0.633 0.349  
  107 2 A 期中 2 0.465 0.601 0.634 7.260 12 0.833 0.368  
  107 2 A 期中 3 0.647 0.559 0.766 7.130 12 0.882 0.235  
  107 2 A 期中 4 0.309 0.705 0.648 8.740 12 0.860 0.551  
  107 2 A 期中 5 0.494 0.411 0.705 6.250 15 0.658 0.164  
  107 2 A 期中 6 0.577 0.615 0.774 7.840 12 0.904 0.327  
  107 2 A 期中 7 0.459 0.629 0.733 9.310 14 0.859 0.400  
  107 2 A 期中 8 0.663 0.562 0.743 7.220 12 0.893 0.230  
  107 2 A 期末 1 0.501 0.625 0.727 7.800 12 0.875 0.374  
  107 2 A 期末 2 0.508 0.583 0.780 9.710 16 0.837 0.329  
  107 2 A 期末 3 0.537 0.430 0.725 6.310 14 0.699 0.162  
  107 2 A 期末 4 0.605 0.439 0.704 6.280 16 0.741 0.136  
  107 2 A 期末 5 0.490 0.584 0.752 8.450 14 0.829 0.338  
  107 2 A 期末 6 0.613 0.554 0.711 6.810 12 0.860 0.247  
  107 2 A 期末 7 0.427 0.420 0.724 6.980 16 0.633 0.206  
  103 1 A1 期中 1 0.393 0.402 0.560 5.390 14 0.598 0.205  
  103 1 A1 期中 2 0.365 0.393 0.486 3.970 10 0.575 0.211  
  103 1 A1 期中 3 0.368 0.493 0.526 5.050 10 0.677 0.309  
  103 1 A1 期中 4 0.514 0.525 0.780 15.110 28 0.782 0.268  
  103 1 A1 期中 5 0.515 0.675 0.488 7.410 10 0.932 0.417  
  103 1 A1 期中 6 0.215 0.291 0.409 2.780 10 0.399 0.184  
  103 1 A1 期中 7 0.444 0.443 0.593 4.490 10 0.665 0.221  
  103 1 A1 期中 8 0.332 0.405 0.517 3.860 10 0.571 0.239  
  103 1 A1 期中 9 0.421 0.528 0.626 9.240 18 0.738 0.317  
  103 1 A1 期末 1 0.650 0.478 0.642 3.940 8 0.803 0.153  
  103 1 A1 期末 2 0.695 0.519 0.674 4.130 8 0.867 0.172  
  103 1 A1 期末 3 0.335 0.719 0.602 12.200 16 0.887 0.552  
  103 1 A1 期末 4 0.544 0.544 0.711 9.150 16 0.816 0.272  
  103 1 A1 期末 5 0.400 0.319 0.532 2.490 8 0.519 0.119  
  103 1 A1 期末 6 0.751 0.480 0.658 3.480 8 0.855 0.104  
  103 1 A1 期末 7 0.340 0.531 0.697 10.760 20 0.701 0.361  
  103 1 A1 期末 8 0.553 0.546 0.642 4.540 8 0.822 0.270  
  103 1 A1 期末 9 0.441 0.293 0.621 2.690 10 0.514 0.073  
  103 1 A1 期末 10 0.681 0.557 0.697 4.500 8 0.897 0.216  
  103 1 A2 期中 1 0.585 0.643 0.651 6.850 10 0.935 0.350  
  103 1 A2 期中 2 0.426 0.762 0.627 8.060 10 0.975 0.549  
  103 1 A2 期中 3 0.563 0.593 0.651 6.920 12 0.875 0.312  
  103 1 A2 期中 4 0.652 0.359 0.586 3.250 12 0.685 0.033  
  103 1 A2 期中 5 0.352 0.798 0.666 10.130 12 0.974 0.622  
  103 1 A2 期中 6 0.221 0.703 0.542 7.190 10 0.813 0.592  
  103 1 A2 期中 7 0.442 0.733 0.732 18.720 24 0.954 0.512  
  103 1 A2 期中 8 0.407 0.753 0.648 8.060 10 0.956 0.549  
  103 1 A2 期末 1 0.340 0.791 0.675 8.430 10 0.961 0.621  
  103 1 A2 期末 2 0.567 0.627 0.681 8.380 13 0.910 0.343  
  103 1 A2 期末 3 0.497 0.727 0.722 10.770 14 0.976 0.479  
  103 1 A2 期末 4 0.628 0.636 0.805 14.550 21 0.950 0.322  
  103 1 A2 期末 5 0.484 0.722 0.693 7.420 10 0.964 0.480  
  103 1 A2 期末 6 0.586 0.654 0.629 6.380 10 0.947 0.361  
  103 1 A2 期末 7 0.486 0.458 0.544 5.490 12 0.701 0.216  
  103 1 A2 期末 8 0.665 0.589 0.673 6.320 10 0.921 0.256  
  103 2 A1 期中 1 0.515 0.608 0.722 11.340 18 0.865 0.351  
  103 2 A1 期中 2 0.547 0.413 0.668 3.980 10 0.686 0.139  
  103 2 A1 期中 3 0.570 0.628 0.712 5.050 8 0.913 0.343  
  103 2 A1 期中 4 0.556 0.447 0.550 3.280 8 0.725 0.169  
  103 2 A1 期中 5 0.418 0.343 0.551 2.650 8 0.551 0.134  
  103 2 A1 期中 6 0.294 0.416 0.468 4.910 12 0.563 0.269  
  103 2 A1 期中 7 0.468 0.653 0.681 6.790 10 0.887 0.420  
  103 2 A1 期中 8 0.618 0.516 0.660 4.440 8 0.825 0.207  
  103 2 A1 期中 9 0.583 0.651 0.585 5.310 8 0.942 0.359  
  103 2 A1 期中 10 0.432 0.552 0.526 5.600 10 0.769 0.336  
  103 2 A1 期中 11 0.589 0.585 0.643 5.920 10 0.879 0.290  
  103 2 A1 期末 1 0.074 0.424 0.136 2.050 5 0.461 0.387  
  103 2 A1 期末 2 0.312 0.639 0.492 6.460 10 0.795 0.483  
  103 2 A1 期末 3 0.466 0.562 0.662 8.710 15 0.795 0.329  
  103 2 A1 期末 4 0.726 0.403 0.687 3.670 10 0.766 0.040  
  103 2 A1 期末 5 0.502 0.361 0.648 3.720 10 0.612 0.109  
  103 2 A1 期末 6 0.295 0.238 0.590 4.740 20 0.385 0.091  
  103 2 A1 期末 7 0.585 0.372 0.718 3.750 10 0.664 0.079  
  103 2 A1 期末 8 0.625 0.451 0.676 4.190 10 0.763 0.138  
  103 2 A1 期末 9 0.404 0.325 0.615 3.300 10 0.527 0.123  
  103 2 A1 期末 10 0.552 0.531 0.653 5.610 10 0.806 0.255  
  103 2 A2 期中 1 0.482 0.680 0.787 11.180 15 0.921 0.439  
  103 2 A2 期中 2 0.293 0.848 0.668 10.730 12 0.994 0.701  
  103 2 A2 期中 3 0.560 0.639 0.708 7.920 12 0.919 0.359  
  103 2 A2 期中 4 0.646 0.638 0.766 9.160 14 0.961 0.315  
  103 2 A2 期中 5 0.433 0.736 0.772 11.900 15 0.953 0.520  
  103 2 A2 期中 6 0.565 0.660 0.760 7.350 10 0.942 0.377  
  103 2 A2 期中 7 0.347 0.802 0.660 8.410 10 0.976 0.629  
  103 2 A2 期中 8 0.375 0.797 0.617 9.950 12 0.984 0.609  
  103 2 A2 期末 1 0.621 0.602 0.768 9.430 15 0.913 0.292  
  103 2 A2 期末 2 0.630 0.513 0.712 7.490 15 0.828 0.198  
  103 2 A2 期末 3 0.548 0.567 0.743 8.640 15 0.841 0.293  
  103 2 A2 期末 4 0.621 0.637 0.669 6.980 10 0.947 0.326  
  103 2 A2 期末 5 0.454 0.752 0.684 9.800 12 0.979 0.524  
  103 2 A2 期末 6 0.456 0.705 0.658 8.860 12 0.933 0.477  
  103 2 A2 期末 7 0.428 0.695 0.571 8.330 12 0.909 0.481  
  103 2 A2 期末 8 0.543 0.451 0.706 4.250 9 0.722 0.179  
  104 1 A1 期中 1 0.364 0.501 0.745 16.690 32 0.683 0.319  
  104 1 A1 期中 2 0.504 0.464 0.673 5.130 12 0.716 0.212  
  104 1 A1 期中 3 0.538 0.651 0.556 5.660 8 0.920 0.382  
  104 1 A1 期中 4 0.542 0.566 0.584 4.640 8 0.837 0.295  
  104 1 A1 期中 5 0.366 0.434 0.486 3.290 8 0.617 0.251  
  104 1 A1 期中 6 0.477 0.407 0.487 3.240 8 0.645 0.169  
  104 1 A1 期中 7 0.358 0.451 0.531 5.450 12 0.631 0.272  
  104 1 A1 期中 8 0.405 0.279 0.518 2.700 12 0.482 0.077  
  104 1 A1 期中 9 0.432 0.552 0.639 11.370 20 0.768 0.336  
  104 1 A1 期末 1 0.363 0.671 0.605 10.830 16 0.852 0.489  
  104 1 A1 期末 2 0.513 0.498 0.629 8.290 16 0.755 0.242  
  104 1 A1 期末 3 0.331 0.406 0.404 3.290 8 0.572 0.241  
  104 1 A1 期末 4 0.549 0.363 0.680 5.220 16 0.638 0.089  
  104 1 A1 期末 5 0.370 0.325 0.471 2.380 8 0.510 0.140  
  104 1 A1 期末 6 0.495 0.538 0.660 9.230 16 0.786 0.291  
  104 1 A1 期末 7 0.427 0.543 0.680 9.150 16 0.757 0.330  
  104 1 A1 期末 8 0.427 0.250 0.619 3.250 16 0.464 0.037  
  104 1 A1 期末 9 0.486 0.683 0.572 5.650 8 0.926 0.440  
  104 1 A2 期中 1 0.264 0.853 0.573 7.090 8 0.985 0.721  
  104 1 A2 期中 2 0.444 0.751 0.663 7.950 10 0.973 0.529  
  104 1 A2 期中 3 0.334 0.627 0.629 6.590 10 0.794 0.460  
  104 1 A2 期中 4 0.480 0.655 0.584 6.730 10 0.895 0.415  
  104 1 A2 期中 5 0.340 0.796 0.716 20.110 24 0.967 0.626  
  104 1 A2 期中 6 0.423 0.610 0.662 7.790 12 0.822 0.399  
  104 1 A2 期中 7 0.495 0.638 0.687 9.220 14 0.885 0.390  
  104 1 A2 期中 8 0.368 0.740 0.644 9.260 12 0.924 0.556  
  104 1 A2 期末 1 0.472 0.629 0.684 8.990 14 0.865 0.393  
  104 1 A2 期末 2 0.328 0.804 0.643 10.000 12 0.968 0.640  
  104 1 A2 期末 3 0.658 0.557 0.669 7.010 12 0.886 0.228  
  104 1 A2 期末 4 0.531 0.672 0.669 8.600 12 0.938 0.407  
  104 1 A2 期末 5 0.716 0.490 0.693 4.760 10 0.849 0.132  
  104 1 A2 期末 6 0.440 0.722 0.645 9.220 12 0.942 0.502  
  104 1 A2 期末 7 0.522 0.600 0.723 7.540 12 0.861 0.339  
  104 1 A2 期末 8 0.542 0.559 0.779 9.670 16 0.830 0.288  
  104 2 A1 期中 1 0.535 0.558 0.587 4.300 8 0.825 0.290  
  104 2 A1 期中 2 0.611 0.411 0.597 3.060 8 0.717 0.106  
  104 2 A1 期中 3 0.383 0.408 0.578 4.860 12 0.599 0.216  
  104 2 A1 期中 4 0.514 0.623 0.526 5.120 8 0.880 0.365  
  104 2 A1 期中 5 0.768 0.419 0.665 4.610 12 0.803 0.035  
  104 2 A1 期中 6 0.412 0.613 0.605 7.860 12 0.819 0.407  
  104 2 A1 期中 7 0.533 0.440 0.666 5.160 12 0.706 0.174  
  104 2 A1 期中 8 0.640 0.451 0.702 5.810 12 0.771 0.131  
  104 2 A1 期中 9 0.406 0.606 0.492 7.480 12 0.809 0.402  
  104 2 A1 期中 10 0.410 0.717 0.561 9.160 12 0.922 0.513  
  104 2 A1 期中 11 0.350 0.357 0.572 4.330 12 0.532 0.182  
  104 2 A1 期末 1 0.365 0.772 0.583 8.270 10 0.954 0.589  
  104 2 A1 期末 2 0.703 0.524 0.630 5.370 10 0.875 0.172  
  104 2 A1 期末 3 0.497 0.463 0.633 4.480 10 0.712 0.215  
  104 2 A1 期末 4 0.677 0.393 0.607 3.470 10 0.732 0.054  
  104 2 A1 期末 5 0.577 0.560 0.678 10.180 18 0.848 0.271  
  104 2 A1 期末 6 0.456 0.548 0.684 6.870 12 0.776 0.320  
  104 2 A1 期末 7 0.443 0.411 0.650 4.250 10 0.633 0.190  
  104 2 A1 期末 8 0.430 0.580 0.642 6.250 10 0.795 0.365  
  104 2 A1 期末 9 0.466 0.642 0.600 6.940 10 0.875 0.409  
  104 2 A2 期中 1 0.382 0.763 0.538 8.110 10 0.954 0.572  
  104 2 A2 期中 2 0.469 0.672 0.653 7.130 10 0.906 0.437  
  104 2 A2 期中 3 0.572 0.425 0.667 4.600 12 0.711 0.139  
  104 2 A2 期中 4 0.482 0.659 0.694 7.990 12 0.900 0.418  
  104 2 A2 期中 5 0.324 0.799 0.647 10.040 12 0.960 0.637  
  104 2 A2 期中 6 0.539 0.627 0.749 9.430 14 0.897 0.358  
  104 2 A2 期中 7 0.219 0.864 0.671 14.290 16 0.974 0.755  
  104 2 A2 期中 8 0.605 0.645 0.730 9.660 14 0.947 0.342  
  104 2 A2 期末 1 0.282 0.839 0.623 8.820 10 0.980 0.698  
  104 2 A2 期末 2 0.583 0.499 0.671 4.890 10 0.790 0.207  
  104 2 A2 期末 3 0.554 0.702 0.657 7.440 10 0.979 0.425  
  104 2 A2 期末 4 0.515 0.689 0.679 9.090 13 0.946 0.431  
  104 2 A2 期末 5 0.586 0.602 0.781 8.790 14 0.894 0.309  
  104 2 A2 期末 6 0.324 0.828 0.713 11.390 13 0.990 0.666  
  104 2 A2 期末 7 0.469 0.722 0.754 11.680 15 0.957 0.488  
  104 2 A2 期末 8 0.451 0.725 0.787 11.290 15 0.950 0.499  
  105 1 A1 期中 1 0.347 0.774 0.579 8.040 10 0.948 0.601  
  105 1 A1 期中 2 0.423 0.733 0.649 7.750 10 0.945 0.522  
  105 1 A1 期中 3 0.306 0.727 0.581 8.990 12 0.880 0.574  
  105 1 A1 期中 4 0.303 0.797 0.511 8.280 10 0.948 0.645  
  105 1 A1 期中 5 0.542 0.559 0.653 6.530 12 0.830 0.288  
  105 1 A1 期中 6 0.303 0.387 0.426 3.490 10 0.539 0.236  
  105 1 A1 期中 7 0.597 0.619 0.650 6.590 10 0.917 0.321  
  105 1 A1 期中 8 0.510 0.617 0.651 7.670 12 0.872 0.362  
  105 1 A1 期中 9 0.339 0.782 0.658 11.340 14 0.952 0.612  
  105 1 A1 期末 1 0.414 0.748 0.697 9.300 12 0.955 0.541  
  105 1 A1 期末 2 0.517 0.656 0.694 8.300 12 0.914 0.398  
  105 1 A1 期末 3 0.399 0.365 0.602 3.470 10 0.565 0.166  
  105 1 A1 期末 4 0.267 0.195 0.546 2.000 12 0.328 0.062  
  105 1 A1 期末 5 0.355 0.724 0.565 9.330 12 0.902 0.547  
  105 1 A1 期末 6 0.526 0.614 0.716 7.840 12 0.878 0.351  
  105 1 A1 期末 7 0.465 0.589 0.699 7.290 12 0.821 0.356  
  105 1 A1 期末 8 0.460 0.327 0.602 2.490 10 0.557 0.096  
  105 1 A1 期末 9 0.567 0.462 0.704 5.240 12 0.745 0.179  
  105 1 A2 期中 1 0.612 0.651 0.692 7.080 10 0.957 0.345  
  105 1 A2 期中 2 0.713 0.600 0.654 6.490 10 0.957 0.243  
  105 1 A2 期中 3 0.414 0.677 0.692 8.340 12 0.884 0.470  
  105 1 A2 期中 4 0.336 0.774 0.686 9.750 12 0.942 0.606  
  105 1 A2 期中 5 0.677 0.562 0.674 8.540 15 0.900 0.224  
  105 1 A2 期中 6 0.258 0.803 0.650 13.980 17 0.932 0.674  
  105 1 A2 期中 7 0.367 0.730 0.637 9.060 12 0.913 0.546  
  105 1 A2 期中 8 0.474 0.703 0.691 8.680 12 0.940 0.466  
  105 1 A2 期末 1 0.509 0.413 0.617 5.350 13 0.668 0.159  
  105 1 A2 期末 2 0.585 0.659 0.733 8.850 12 0.951 0.367  
  105 1 A2 期末 3 0.651 0.598 0.735 8.160 13 0.923 0.272  
  105 1 A2 期末 4 0.360 0.730 0.721 7.520 10 0.910 0.550  
  105 1 A2 期末 5 0.556 0.619 0.823 13.310 20 0.897 0.341  
  105 1 A2 期末 6 0.564 0.660 0.678 7.130 10 0.942 0.378  
  105 1 A2 期末 7 0.440 0.715 0.715 9.280 12 0.935 0.495  
  105 1 A2 期末 8 0.418 0.695 0.680 7.280 10 0.904 0.486  
  105 2 A1 期中 1 0.605 0.517 0.631 5.040 10 0.820 0.214  
  105 2 A1 期中 2 0.482 0.519 0.682 6.130 12 0.760 0.278  
  105 2 A1 期中 3 0.308 0.827 0.589 10.420 12 0.980 0.673  
  105 2 A1 期中 4 0.461 0.632 0.719 6.460 10 0.863 0.402  
  105 2 A1 期中 5 0.442 0.741 0.669 8.020 10 0.962 0.520  
  105 2 A1 期中 6 0.278 0.783 0.564 8.260 10 0.923 0.644  
  105 2 A1 期中 7 0.550 0.529 0.761 7.660 14 0.804 0.254  
  105 2 A1 期中 8 0.583 0.495 0.725 7.020 15 0.787 0.204  
  105 2 A1 期中 9 0.397 0.682 0.679 8.330 12 0.881 0.483  
  105 2 A1 期末 1 0.430 0.544 0.636 6.420 12 0.759 0.329  
  105 2 A1 期末 2 0.245 0.864 0.588 10.580 12 0.986 0.741  
  105 2 A1 期末 3 0.450 0.685 0.657 8.200 12 0.910 0.460  
  105 2 A1 期末 4 0.476 0.694 0.631 7.270 10 0.932 0.456  
  105 2 A1 期末 5 0.623 0.646 0.692 8.190 12 0.958 0.335  
  105 2 A1 期末 6 0.468 0.673 0.761 8.220 12 0.907 0.438  
  105 2 A1 期末 7 0.623 0.620 0.646 7.700 12 0.931 0.308  
  105 2 A1 期末 8 0.642 0.573 0.704 7.540 13 0.894 0.252  
  105 2 A1 期末 9 0.741 0.449 0.776 6.400 15 0.819 0.078  
  105 2 A2 期中 1 0.595 0.599 0.741 9.540 15 0.896 0.301  
  105 2 A2 期中 2 0.399 0.750 0.735 7.970 10 0.950 0.551  
  105 2 A2 期中 3 0.280 0.826 0.725 17.090 20 0.966 0.686  
  105 2 A2 期中 4 0.573 0.456 0.636 5.130 11 0.742 0.169  
  105 2 A2 期中 5 0.476 0.643 0.776 13.320 20 0.881 0.405  
  105 2 A2 期中 6 0.489 0.660 0.709 8.520 12 0.905 0.415  
  105 2 A2 期中 7 0.370 0.742 0.671 9.340 12 0.927 0.557  
  105 2 A2 期末 1 0.163 0.889 0.583 10.120 11 0.970 0.807  
  105 2 A2 期末 2 0.654 0.442 0.688 4.720 12 0.769 0.115  
  105 2 A2 期末 3 0.319 0.811 0.532 9.090 11 0.971 0.651  
  105 2 A2 期末 4 0.323 0.783 0.619 9.630 12 0.945 0.622  
  105 2 A2 期末 5 0.491 0.544 0.741 9.280 16 0.789 0.299  
  105 2 A2 期末 6 0.392 0.738 0.650 9.350 12 0.934 0.542  
  105 2 A2 期末 7 0.573 0.455 0.702 5.600 12 0.741 0.169  
  105 2 A2 期末 8 0.435 0.530 0.694 7.290 14 0.747 0.312  
  106 2 A(電機、材料) 期中 1 0.483 0.437 0.665 6.180 15 0.679 0.195  
  106 2 A(無電機、材料) 期中 1 0.421 0.392 0.648 5.390 15 0.602 0.181  
  106 2 A(電機、材料) 期中 2 0.536 0.420 0.573 3.780 10 0.688 0.152  
  106 2 A(無電機、材料) 期中 2 0.471 0.597 0.558 5.830 10 0.833 0.362  
  106 2 A 期中 3 0.599 0.530 0.703 5.680 10 0.829 0.230  
  106 2 A 期中 4 0.577 0.526 0.600 4.230 8 0.815 0.238  
  106 2 A 期中 5 0.475 0.683 0.659 8.710 12 0.921 0.446  
  106 2 A 期中 6 0.453 0.440 0.641 4.460 10 0.667 0.214  
  106 2 A 期中 7 0.491 0.479 0.673 6.230 13 0.724 0.233  
  106 2 A 期中 8 0.386 0.637 0.657 7.980 12 0.830 0.444  
  106 2 A 期中 9 0.286 0.485 0.552 5.130 10 0.628 0.342  
  106 2 A 期末 1 0.400 0.734 0.692 15.030 20 0.933 0.534  
  106 2 A 期末 2 0.384 0.736 0.693 12.510 16 0.928 0.544  
  106 2 A 期末 3 0.328 0.704 0.523 7.190 10 0.868 0.541  
  106 2 A 期末 4 0.506 0.626 0.686 7.820 12 0.879 0.373  
  106 2 A 期末 5 0.573 0.539 0.744 8.800 16 0.825 0.252  
  106 2 A(電機、材料) 期末 6 0.211 0.155 0.528 1.400 10 0.260 0.049  
  106 2 A(無電機、材料) 期末 6 0.480 0.563 0.648 6.060 10 0.803 0.323  
  106 2 A(電機、材料) 期末 7 0.468 0.444 0.685 6.260 14 0.678 0.210  
  106 2 A(無電機、材料) 期末 7 0.528 0.543 0.725 7.650 14 0.808 0.279  
  106 2 A 期末 8 0.501 0.434 0.633 5.020 12 0.685 0.184  
  106 1 A 期末 1 0.674 0.512 0.711 6.140 12 0.849 0.174  
  106 1 A 期末 2 0.347 0.795 0.656 8.290 10 0.968 0.621  
  106 1 A 期末 3 0.315 0.793 0.617 13.250 16 0.951 0.636  
  106 1 A(電機、材料) 期末 4 0.441 0.365 0.546 3.350 10 0.586 0.145  
  106 1 A(無電機、材料) 期末 4 0.477 0.690 0.647 7.360 10 0.928 0.451  
  106 1 A 期末 5 0.424 0.466 0.727 8.600 18 0.678 0.254  
  106 1 A(電機、材料) 期末 6 0.494 0.568 0.676 6.770 12 0.815 0.321  
  106 1 A(無電機、材料) 期末 6 0.488 0.718 0.674 8.930 12 0.962 0.474  
  106 1 A 期末 7 0.513 0.638 0.671 6.730 10 0.895 0.382  
  106 1 A(電機、材料) 期末 8 0.466 0.342 0.647 3.870 12 0.574 0.109  
  106 1 A(無電機、材料) 期末 8 0.515 0.619 0.691 7.520 12 0.876 0.362  
  106 1 A(無電機、材料) 期中 1 0.386 0.566 0.758 11.560 20 0.759 0.373  
  106 1 A(無電機、材料) 期中 2 0.285 0.827 0.668 12.850 15 0.970 0.685  
  106 1 A(無電機、材料) 期中 3 0.407 0.658 0.707 7.910 12 0.861 0.454  
  106 1 A(無電機、材料) 期中 4 0.564 0.651 0.630 6.680 10 0.933 0.369  
  106 1 A(無電機、材料) 期中 5 0.397 0.450 0.615 4.460 10 0.649 0.252  
  106 1 A(無電機、材料) 期中 6 0.654 0.469 0.667 5.070 10 0.796 0.142  
  106 1 A(無電機、材料) 期中 7 0.724 0.521 0.666 5.450 10 0.883 0.159  
  106 1 A(無電機、材料) 期中 8 0.500 0.642 0.761 11.880 18 0.892 0.391  
  106 1 A(電機、材料) 期中 1 0.279 0.649 0.597 9.660 15 0.789 0.509  
  106 1 A(電機、材料) 期中 2 0.445 0.714 0.667 7.660 10 0.936 0.491  
  106 1 A(電機、材料) 期中 3 0.307 0.834 0.666 12.890 15 0.987 0.680  
  106 1 A(電機、材料) 期中 9 0.417 0.484 0.576 4.940 10 0.693 0.276