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ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
å³âã§ç€ºãããé決å®æ§æéãªãŒãããã³ãšç䟡ãªæ±ºå®æ§æéãªãŒãããã³ã¯æ¬¡ã®ãã¡ã§ã¯ã©ããã
ãã ããåæç¶æ
ãâãåçç¶æ
ãâã§è¡šããšããã
Choice:
1ïŒâ
2ïŒâ
3ïŒâ
4ïŒâ
5ïŒâ¡ | 4 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
èšå· JïŒ" ã¯ããããåŠå®ãå«æãè¡šãè«çèšå·ãšããXïŒY ã¯åœé¡èšå·ãšããã次ã®è«çåŒã®ãã¡ãããŒãããžãŒïŒæçåŒïŒã§ãããã®ã¯ã©ããã
Choice:
1ïŒX â Y
2ïŒX â ¬Y â X
3ïŒX â (Y â X) ⧠Y â X
4ïŒX ⧠Y â ¬(X â Y)
5ïŒX â (Y â X) ⧠Y â X | 3 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
誀ãèšæ£ç¬Šå·ã®äžã€ã§ããããã³ã°ç¬Šå·ã«é¢ããèšè¿°ãããããã®ãã¡ã劥åœãªãã®ã®ã¿ãå
šãŠæããŠããã®ã¯ã©ããã
Choices:
1ïŒã
2ïŒããã
3ïŒã
4ïŒããã
5ïŒã | 5 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
C èšèªã§èšè¿°ããã次ã®ããã°ã©ã ãå®è¡ãããšãã«è¡šç€ºãããå€ã«æãè¿ãå€ã¯æ¬¡ã®ãã¡ã§ã¯ã©ããã
```c
#include<stdio.h>
int main(void){
int i, T = 1000000;
double x1, x2, a;
a = 0;
for(i = 0; i < T; i++){
x1 = (double)i/T;
x2 = (double)(i+1)/T;
a = a + (1.0/(1+x1*x1) + 1.0/(1+x2*x2))/(double)T/2.0;
}
printf("%f\n", a);
return 0;
}
```
Choices:
1ïŒ 0.523
2ïŒ 0.785
3ïŒ 1.047
4ïŒ 1.570
5ïŒ 3.141 | 2 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
1000 以äžã®æ£ã®èªç¶æ°ã§ããã€ã2ïŒ3ïŒ5ïŒ7 ã®ããããšãäºãã«çŽ ã§ããæ°ã¯å
šéšã§ããã€ãããã
Choices:
1ïŒ 228 å
2ïŒ 256 å
3ïŒ 275 å
4ïŒ 294 å
5ïŒ 299 å | 1 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
ã°ã©ã G ã®é£æ¥ããã©ã®äºã€ã®é ç¹ãåãè²ã«ãªããªãããã«ãåé ç¹ã« k åã®è²ã®äžã€ãå²ãåœãŠãããšãå¯èœã§ãããšããG 㯠k-圩è²å¯èœã§ãããšãããk-圩è²å¯èœã§ãããïŒk - 1ïŒ-圩è²å¯èœã§ãªããšããG ã®åœ©è²æ°ã¯ k ã§ãããšããã次ã«ç€ºãã°ã©ãâãâ ã®ãã¡ã圩è²æ°ã 3 ã§ãããã®ã®ã¿ãå
šãŠæããŠããã®ã¯ã©ããã
Choice:
1ïŒâïŒâïŒâ
2ïŒâïŒâïŒâïŒâ
3ïŒâïŒâïŒâ
4ïŒâïŒâ
5ïŒâïŒâ | 4 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
é ç¹éåã Vãæéåã E ãšããç¡åã°ã©ã G =ïŒVïŒEïŒã«å¯ŸããŠãG ãã E ã®éšåéå El ã®å
šãŠã®èŸºãé€å»ããŠåŸãããã°ã©ãã G \[E- l\] ãšæžããG ãã V ã®éšåéå Vl ã®å
šãŠã®é ç¹ãšãããã«æ¥ç¶ããå
šãŠã®èŸºãé€å»ããŠåŸãããã°ã©ãã G \[V- l\] ã§è¡šããG ã®ç¹é£çµåºŠ lïŒGïŒãšèŸºé£çµåºŠ mïŒGïŒã¯ãããã次ã®åŒã§å®çŸ©ãããã
\[ lïŒGïŒ= \min_{V_l \subset V, |V_l| \geq 1} |V_l|, \quad G[V- l] \text{ãéé£çµåã¯èªæã°ã©ã} \]
\[ mïŒGïŒ= \min_{E_l \subset E, |E_l| \geq 1} |E_l|, \quad G[E- l] \text{ãéé£çµåã¯èªæã°ã©ã} \]
G ã®ä»»æã®é ç¹ \( v \in V \) ã«å¯ŸããŠãv ãšæ¥ç¶ããŠãã蟺ã®æ°ã v ã®æ¬¡æ°ãšåŒã³ã \(\degïŒvïŒ\) ã§è¡šãã
\(\min \deg v \) ã G ã®æå°æ¬¡æ°ãšåŒã³ã\( dïŒGïŒ\) ãšèšãã
é ç¹ã®åæ°ã 2 以äžã§ããä»»æã®ã°ã©ãã«å¯ŸããŠæãç«ã€äžçåŒãšããŠæ£ããã®ã¯ã©ããã
ãã ããG ã¯é£çµãã€èªæã§ãªãã°ã©ãã§ãããšããã
Choice:
1ïŒ\( lïŒGïŒ= mïŒGïŒ\leq dïŒGïŒ \)
2ïŒ\( lïŒGïŒ\leq mïŒGïŒ\leq dïŒGïŒ \)
3ïŒ\( dïŒGïŒ= mïŒGïŒ\leq lïŒGïŒ \)
4ïŒ\( dïŒGïŒ\leq mïŒGïŒ= lïŒGïŒ \)
5ïŒ\( dïŒGïŒ\leq mïŒGïŒ\leq lïŒGïŒ \) | 2 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
è¡å A ãšãã¯ãã« b ã®çµåããšããŠæ£ããã®ã¯ã©ããã
Choice:
1ïŒ
\[
A =
\begin{bmatrix}
-1 & 2 & 0 \\
1 & 3 & 0 \\
-2 & 5 & p
\end{bmatrix},
b =
\begin{bmatrix}
0 \\ 1 \\ 5
\end{bmatrix}
\]
2ïŒ
\[
A =
\begin{bmatrix}
2 & -1 & 0 \\
1 & 5 & 1 \\
0 & 2 & -3
\end{bmatrix},
b =
\begin{bmatrix}
3 \\ f \\ 0
\end{bmatrix}
\]
3ïŒ
\[
A =
\begin{bmatrix}
0 & 0 & 0 \\
0 & 1 & 0 \\
4 & 11 & 1
\end{bmatrix},
b =
\begin{bmatrix}
p \\ 0 \\ -\frac{1}{10}
\end{bmatrix}
\]
4ïŒ
\[
A =
\begin{bmatrix}
-2 & 5 & -\frac{2}{15} \\
1 & 2 & 1 \\
0 & -\frac{1}{2} & 0
\end{bmatrix},
b =
\begin{bmatrix}
0 \\ 4 \\ 11
\end{bmatrix}
\]
5ïŒ
\[
A =
\begin{bmatrix}
1 & 0 & 0 \\
-1 & 2 & -1 \\
1 & 30 & p
\end{bmatrix},
b =
\begin{bmatrix}
p \\ f \\ 1
\end{bmatrix}
\] | 3 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
äºã€ã®é xïŒy ãå®éšã«ãã£ãŠæž¬å®ãããšããã 5 çµã®ããŒã¿ (xiïŒyi) (i = 1ïŒ2ïŒ3ïŒ4ïŒ5) ãè¡šã®ãšããåŸããããxïŒy ã®é¢ä¿ã y = ax + b ã§è¿äŒŒãããšãæå°äºä¹æ³ã«ãã£ãŠ aïŒb ãæ±ããå Žåã® a ã®å€ã¯ããããã
Choice:
1ïŒ 0.17
2ïŒ 0.27
3ïŒ 0.37
4ïŒ 0.47
5ïŒ 0.57 | 3 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
è¢ A ã«èµ€çãäºã€ãè¢ B ã«çœçãäžã€å
¥ã£ãŠãããããããã®è¢ããäžã€ãã€çãåãåºãããã®äºã€ã®çã亀æããŠè¢ãžæ»ãããã®æäœãå€æ°åç¹°ãè¿ããåŸã«è¢ A ã«èµ€çãäžã€ããªã確çãšããŠæã劥åœãªã®ã¯ã©ããã
Choice:
1ïŒ2/9
2ïŒ3/10
3ïŒ1/3
4ïŒ12/25
5ïŒ2/3 | 2 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
次ã®éç·åœ¢èšç»åé¡ã®æé©è§£ã«ãããç®çé¢æ°ã®å€ã¯ããããã
minimize
\( 2x_1^2 - x_1x_2 + \frac{9}{2}x_2^2 \)
subject to \( 2x_1 + x_2 = 3 \), \( x_1 \geq 0 \)
Choices:
1ïŒ\( \frac{107}{14} \)
2ïŒ\( \frac{13}{2} \)
3ïŒ-5
4ïŒ\( \frac{9}{2} \)
5ïŒ-2 | 2 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
ãã 24 æéå¶æ¥ã®åºåŒµæã«ã¯ãµãŒãã¹äºåãè¡ãçªå£ãäžã€ãããªããä»ã®å®¢ããµãŒãã¹ãåããŠããå Žåã¯ãåŸããæ¥ã客ã¯é çªã«äžŠãã§åŸ
ã€ã1 人ã®è·å¡ãå
šãŠã®ãµãŒãã¹ãè¡ãã
1 æéåœããã®å¹³åæ¥å®¢æ°ã¯ 9 人ã§ãã¢ãœã³å°çãä»®å®ããå¹³åãµãŒãã¹æéã¯å®¢ 1 人ã«ã€ãå¹³å 5 åã§ææ°ååžã«åŸã£ãŠãããšãããå®åžžç¶æ
ã«ãããŠããµãŒãã¹ãåŸ
ã£ãŠãã客ã®åŸ
ã¡è¡åã®å¹³åäººæ° Lqã人ããšã客ãåºåŒµæã«å°çããŠããèªåã®çªãæ¥ããŸã§ã®å¹³ååŸ
ã¡æé Wqãåãã®å€ã®çµåããšããŠæ£ããã®ã¯ã©ããã
Choice:
1ïŒLq = 2, Wq = 20
2ïŒLq = 2.25, Wq = 15
3ïŒLq = 2.25, Wq = 20
4ïŒLq = 3, Wq = 15
5ïŒLq = 3, Wq = 20 | 2 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
è¢ã«è©°ã蟌ããè·ç©ã®éãã®åèšã®äžéã 5 kg ãšãããšããè©°ã蟌ãè·ç©ã®äŸ¡å€ãåãã®åèšã®æ倧å€ã¯ããããã
Choice:
1ïŒ500
2ïŒ550
3ïŒ570
4ïŒ600
5ïŒ650 | 4 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
ãã®ãšããåäœæéåœããã«é ç¹ s ããé ç¹ t ã«æµãããšãå¯èœãªæ倧æµéã¯ããããã
Choice:
1ïŒ40
2ïŒ45
3ïŒ50
4ïŒ55
5ïŒ60 | 2 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
åºé \( [0, \pi] \) ã«ãããŠãé¢æ° \( f(x) = \sin{x} \) ãããŒãªãšäœåŒŠçŽæ°ã«å±éãããš
\[
f(x) = \frac{a_0}{2} + \sum_{n=1}^{\infty} a_n \cos{nx}
\]
ãšãªãããã®ãšããããŒãªãšä¿æ° \( a_n \)ïŒ\( n = 0, 1, 2, \dots \)ïŒãšããŠæ£ããã®ã¯ã©ããã
Choice:
1ïŒ\(-\frac{8}{n\pi^2} (-1)^n\)
2ïŒ\(-\frac{4}{n\pi^2} (-1)^n\)
3ïŒ\(-\frac{8}{n\pi^2} (+1)^n\)
4ïŒ\(-\frac{4}{n\pi^2} (+1)^n\)
5ïŒ\(-\frac{4}{n\pi} (+1)^n\) | 2 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
P ãå éãããŠç¡éé ãŸã§é£ã°ãããã«å ããã¹ãæå°ã®ãšãã«ã®ãŒãšããŠæã劥åœãªã®ã¯ã©ããã
Choice:
1ïŒ\(\frac{GMm}{2r}\)
2ïŒ\(\frac{GMm}{r}\)
3ïŒ\(\frac{3GMm}{2r}\)
4ïŒ\(\frac{GMm^2}{r}\)
5ïŒ\(\frac{3GMm}{r}\) | 1 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
å³ã®ããã«ãæ°Žå¹³é¢ãšè§ i ã®åŸãããªãç²ãæé¢ã®äžã«ãå¹
bãé«ã hã質é m ã®äžæ§ãªçŽæ¹äœãéæ¢ããŠããããã®çŽæ¹äœã®ç¹ A ã«æé¢ãšå¹³è¡ã«å€§ãã F ã®åãéãã«äœçšããããšããçŽæ¹äœãåãããã« F ãæºããã¹ãæ¡ä»¶ãšããŠæã劥åœãªã®ã¯ã©ããã
ãã ããéåå é床ã®å€§ããã g ãšããçŽæ¹äœã¯æé¢äžãæ»ããªããã®ãšããã
Choice:
1ïŒF ⥠(2mg sin i) / h cos i
2ïŒF ⥠(2mg sin i) / b cos i
3ïŒF ⥠(2mg sin i) / h cos i - (b/h)
4ïŒF ⥠(2mg sin i) / (b² cos i)
5ïŒF ⥠(2mg sin i) / h cos i - (b/h) sin i | 2 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
質é m1 ã®å°ç 1 ãšè³ªé m2 ã®å°ç 2 ãã°ãå®æ° k ã®ã°ãã®äž¡ç«¯ã«ããããåºå®ããå°ç 1 ãæã§æã¡äžããŠå³ã®ããã«éæ¢ãããããã®ç¶æ
ã§å°ç 1 ããéãã«æãé¢ãããšãããäºã€ã®å°çã¯çžå¯Ÿçã«åæ¯åããªããèœäžããããã®åæ¯åã®æ¯å¹
ãšåšæã®çµåããšããŠæã劥åœãªã®ã¯ã©ããã
ãã ããéåå é床ã®å€§ããã g ãšããã°ãã®è³ªéåã³ç©ºæ°æµæã¯ç¡èŠã§ãããšããã
Choices:
1ïŒ æ¯å¹
: \( \frac{m_1 g}{k} \) , åšæ: \( 2\pi \sqrt{\frac{m_1}{k}} \)
2ïŒ æ¯å¹
: \( \frac{m_1 g}{k} \) , åšæ: \( 2\pi \sqrt{\frac{m_1 + m_2}{k}} \)
3ïŒ æ¯å¹
: \( \frac{m_2 g}{k} \) , åšæ: \( 2\pi \sqrt{\frac{m_1}{k}} \)
4ïŒ æ¯å¹
: \( \frac{m_2 g}{k} \) , åšæ: \( 2\pi \sqrt{\frac{m_2}{k}} \)
5ïŒ æ¯å¹
: \( \frac{m_2 g}{k} \) , åšæ: \( 2\pi \sqrt{\frac{m_1 + m_2}{k}} \) | 5 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
ããã«ãã³ã®æ£æºéåæ¹çšåŒã«é¢ãã次ã®èšè¿°ã®ãããããã«åœãŠã¯ãŸããã®ã®çµåããšããŠæã劥åœãªã®ã¯ã©ããã
ã質éã m1 ãš m2 ã®äºã€ã®ç²åãäœçœ® r1 ãš r2 ã«ãããããã³ã·ã£ã« VïŒr1ïŒr2ïŒã®äžã§éåããŠããç³»ãèãããç²å iïŒi = 1ïŒ2ïŒã®éåéã pi ãšãããšãããã«ããã¢ã³ H 㯠ã ã§ããããããããšã«ããã«ãã³ã®æ£æºéåæ¹çšåŒ ã ã ã ãçµã¿åããããšããã¥ãŒãã³ã®éåæ¹çšåŒãæ±ããããšãã§ãããã
Choice:
1ïŒ H = pâ² / (2mâ) + pâ² / (2mâ) + VïŒrâïŒrâïŒ
2ïŒ H = pâ² / (2mâ) + pâ² / (2mâ) - VïŒrâïŒrâïŒ
3ïŒ H = (pâ² + pâ²) / (2mâ) + (pâ² + pâ²) / (2mâ) + VïŒrâïŒrâïŒ
4ïŒ H = (pâ² + pâ²) / (2mâ) + (pâ² + pâ²) / (2mâ) - VïŒrâïŒrâïŒ
5ïŒ H = - pâ² / (2mâ) - pâ² / (2mâ) - VïŒrâïŒrâïŒ
ã
1ïŒ d ráµ¢ / dt = âH / âpáµ¢
2ïŒ d ráµ¢ / dt = -âH / âpáµ¢
ã
1ïŒ d páµ¢ / dt = -âH / âráµ¢
2ïŒ d páµ¢ / dt = âH / âráµ¢ | 1 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
åç¹ããã®è·é¢ã \( r \) ãšããŠãäžå¿åããã³ã·ã£ã« \( U(r) \) äžãéåããç²åã®è§éåéã¯æéã«ãããäžå®ã§ããã質é \( m \) ã®ç²åã®å転軞ã«åçŽãªå¹³é¢å
ã®éåãè¡šãã©ã°ã©ã³ãžã¢ã³ã¯ãè§éåéã®å€§ãã \( l = m r^2 \dot{\theta} \) ãçšããŠ
\[
L = \frac{m}{2} (\dot{r}^2 + r^2 \dot{\theta}^2) - U(r) = \frac{m}{2} \dot{r}^2 + \frac{l^2}{2 m r^2} - U(r)
\]
ã®ããã«äžããããã\( U(r) = k r^4 \) ã«å¯ŸããŠç²åãååŸäžå®ã®åéåããããšãããã®ååŸãšåšæã®çµåããšããŠæã劥åœãªã®ã¯ã©ããã
ãã ãã\( \dot{r} \) 㯠\( r \) ã®æé埮åãè¡šãã\( k \) ã¯æ£ã®å®æ°ã§ããã
Choice:
1. ååŸ \( \left(\frac{l^2}{2 k m}\right)^{\frac{1}{4}} \), åšæ \( \frac{2 \pi}{\sqrt{2 k m}} \)
2. ååŸ \( \left(\frac{l^2}{2 k m}\right)^{\frac{1}{4}} \), åšæ \( \frac{2 \pi}{\sqrt{4 k m}} \)
3. ååŸ \( \left(\frac{l^2}{4 k m}\right)^{\frac{1}{4}} \), åšæ \( \frac{2 \pi}{\sqrt{2 k m}} \)
4. ååŸ \( \left(\frac{l^2}{4 k m}\right)^{\frac{1}{4}} \), åšæ \( \frac{2 \pi}{\sqrt{4 k m}} \)
5. ååŸ \( \left(\frac{l^2}{4 k m}\right)^{\frac{1}{4}} \), åšæ \( \frac{2 \pi}{\sqrt{5 k m}} \) | 4 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
å³ã«ç€ºãããã«ãåæ±ç¶ã®å®¹åšã«å°é¢ããé«ã H ã®äœçœ®ãŸã§æ°Žãå
¥ããåŽé¢ã«å°ããªåãéããããã®ãšããåŽåºããæ°Žã®æ°Žå¹³å°éè·é¢ãæ倧ã«ããåã®å°é¢ããã®é«ããšããã®æ°Žå¹³å°éè·é¢ã®çµåããšããŠæã劥åœãªã®ã¯ã©ããã
ãã ããæ°Žã¯éå§çž®éç²æ§æµäœãšããåã¯å®¹åšã®åºé¢ç©ã«æ¯ã¹ãŠååå°ããããã®åŽåºé床ã¯ããªãã§ãªã®å®çã«åŸããšããããŸããæ°Žã¯åããæ°Žå¹³æ¹åã«åŽåºããæµæã®ãªãèœäžéåããããšä»®å®ããŠããã
Choice:
1ïŒé«ã H/4, å°éè·é¢ H/2
2ïŒé«ã H/2, å°éè·é¢ H
3ïŒé«ã H/2, å°éè·é¢ H/2
4ïŒé«ã 3H/4, å°éè·é¢ H/2
5ïŒé«ã 3H/4, å°éè·é¢ H | 3 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
åååååãããªãçæ³æ°äœ 1 mol åœããã®å
éšãšãã«ã®ãŒããäœç© V ãšãšã³ããã㌠S ã®é¢æ°ã§è¡šããåŒãšããŠæã劥åœãªã®ã¯ã©ããã
ãã ããæ°äœå®æ°ã R ãšãããã®çæ³æ°äœã¯ãäœç© V0 ã§ãšã³ããã㌠S0 ã®ãšããå
éšãšãã«ã®ãŒ U0 ããã€ãšããã
Choice:
1ïŒU0 e^( (2/5) * ( V / V0 ) ) exp( (2/5R) * ( S - S0 ) )
2ïŒU0 e^( (2/5) * ( V / V0 ) ) exp( (2/5R) * ( S0 - S ) )
3ïŒU0 e^( (2/3) * ( V / V0 ) ) exp( (2/3R) * ( S0 - S ) )
4ïŒU0 e^( (2/5) * ( V / V0 ) ) exp( (2/3R) * ( S0 - S ) )
5ïŒU0 e^( -(2/3) * ( V / V0 ) ) exp( (2/3R) * ( S0 - S ) ) | 5 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
ç©è³ªã®ç°ãªã 2 çž AïŒB ãå§å pã枩床 T ã§å¹³è¡¡ç¶æ
ã«ãããšãã2 çžã®ååŠããã³ã·ã£ã«ïŒ1 mol åœããã®ã®ãã¹ã®èªç±ãšãã«ã®ãŒïŒn ã¯çããããã®ããšããå°ãããé¢ä¿åŒãšããŠæã劥åœãªã®ã¯ã©ããã
ãã ããVAïŒVB åã³ SAïŒSB ã¯åçžã® 1 mol åœããã®äœç©åã³ãšã³ããããŒã§ããã
Choice:
1. \( \frac{dp}{dT} = \frac{S_A - S_B}{V_A - V_B} \)
2. \( \frac{dp}{dT} = \frac{S_A + S_B}{V_A + V_B} \)
3. \( \frac{dp}{dT} = \frac{S_A - S_B}{V_A - V_B} \)
4. \( \frac{d n}{dT} = S_A - S_B \)
5. \( \frac{d n}{dT} = S_A + S_B \) | 1 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
質é m ã®åååååãããªãçæ³æ°äœãåå倧ããªå®¹åšã®äžã«ãããæ°å¯åºŠ nã枩床 T ã«ä¿ãããŠãããå³ã®ããã«ã容åšã«é¢ç© S ã®å°ããªåãéãããšããåäœæéã«åããåŽåºããååæ°ãšããŠæã劥åœãªã®ã¯ã©ããã
ãã ããåã¯å®¹åšã®å€§ãããååã®å¹³åèªç±è¡çšãããååå°ããã容åšã®å€ã¯ç空ãšãããé床 v ã®ååã®ååžã¯ãèŠæ Œåããããã¯ã¹ãŠã§ã«é床ååžå
\[
g(v) = \left(\frac{m}{2 \pi k_B T}\right)^{3/2} \exp\left(-\frac{m v^2}{2 k_B T}\right) 4 \pi v^2
\]
ã«åŸããkB ã¯ãã«ããã³å®æ°ã§ããã
ãªããå¿
èŠãªãã°ã\( a > 0 \) ã«å¯ŸããŠæãç«ã€æ¬¡ã®ç©åå
¬åŒãçšããŠããã
\[
\int_0^\infty x \exp(-a x^2) dx = \frac{1}{2} \sqrt{\frac{\pi}{a}}, \quad
\int_0^\infty x^2 \exp(-a x^2) dx = \frac{1}{2a}, \quad
\int_0^\infty x^3 \exp(-a x^2) dx = \frac{1}{2 a^2} \sqrt{\frac{\pi}{a}}
\]
Choice:
1ïŒ\( S n \sqrt{\frac{k_B T}{m}} \)
2ïŒ\( \frac{1}{2} S n \sqrt{\frac{k_B T}{m}} \)
3ïŒ\( \frac{1}{4} S n \sqrt{\frac{k_B T}{m}} \)
4ïŒ\( \frac{1}{2} S n \sqrt{\frac{8 k_B T}{\pi m}} \)
5ïŒ\( \frac{1}{4} S n \sqrt{\frac{8 k_B T}{\pi m}} \) | 1 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
ãã®ãšã uïŒtïŒxïŒã®äžè¬è§£ãšããŠæã劥åœãªã®ã¯ã©ããã
ãã ããCn ã¯ä»»æã®å®æ°ã§ããã
Choice:
1ïŒâ(n=1 to â) Cn sin(nÏx/L) cos(nÏvt/L)
2ïŒâ(n=1 to â) Cn sin(nÏx/L) cos(2nÏvt/L)
3ïŒâ(n=1 to â) Cn sin(nÏx/L) cos(4nÏvt/L)
4ïŒâ(n=1 to â) Cn sin(nÏx/L) cos(nÏvt/L)
5ïŒâ(n=1 to â) Cn sin(nÏx/L) cos(2nÏvt/L) | 1 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
ç£çäžãéåããã³ã€ã«ã«é¢ãã次ã®èšè¿°ã®ãããã«åœãŠã¯ãŸããã®ã®çµåããšããŠæã劥åœãªã®ã¯ã©ããã
Choice:
1ïŒâ â
2ïŒâ â¢
3ïŒâ¡ â¡
4ïŒâ£ â¡
5ïŒâ£ ⣠| 2 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
æ
£æ§ç³» S ã®çŽäº€åº§æšãïŒxïŒyïŒzïŒãšããæ
£æ§ç³» Sl ã®çŽäº€åº§æšãïŒxlïŒylïŒzlïŒãšãããæ
£æ§ç³» Sl ã®åç¹ã¯ãæ
£æ§ç³» S ã«ãã㊠x 軞ã®æ£ã®åãã«éã v ã§çéçŽç·éåãããŠãããæ
£æ§ç³» S ã«ãããŠãé»å Žã¯ååšãã z 軞ã®åãã«äžæ§ãªç£å Žãããã£ãŠãããšããæ
£æ§ç³» Sl ã«ãããé»å Ž El ãšç£æå¯åºŠ Bl ã¯ãããã
El =ïŒ0ïŒElïŒ0ïŒïŒãBl =ïŒ0ïŒ0ïŒBlïŒ
ãšãªããEl ãš Bl ã®é¢ä¿ãšããŠæã劥åœãªã®ã¯ã©ããã
ãã ããå
éã c ãšããããæå»ã«ãã㊠S ãš Sl ã®åº§æšè»žã¯äžèŽããã
Choice:
1ïŒEl = vBl
2ïŒEl = -vBl
3ïŒEl = (vBl) / (1 - v² / c²)^(1/2)
4ïŒEl = -(vBl) / (1 - v² / c²)^(1/2)
5ïŒEl = (vBl) / (1 - v² / c²) | 2 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
å°äœè¡šé¢ã«èªèµ·ãããé»è·ã«é¢ãã次ã®èšè¿°ã®ãããããã«åœãŠã¯ãŸããã®ã®çµåããšããŠæã劥åœãªã®ã¯ã©ããã
ãå³ã®ããã«ãæ¥å°ãããŠããåç¡éã®å€§ããã®å°äœãç空äžã«ããããã®è¡šé¢ããè·é¢ r ã®äœçœ®ã«ç¹é»è·ã眮ãããŠããããã®ç¹é»è·ã®é»è·ã q ãšããããã®ãšãã®é»å Žã¯ãå°äœè¡šé¢ã« ã ã§ããããã®éé»ããã³ã·ã£ã«ã¯å°äœè¡šé¢äžã§äžå®ã«ãªãããã«ãå°äœè¡šé¢äžã«é»è·ãèªèµ·ãããããããã£ãŠãç¹é»è·ã¯å°äœãã ã ãåããããã®åã®å€§ãã㯠ã ã§ããã
ãã ããç空ã®èªé»çã fâ ãšãããã
Choice:
1ïŒã åçŽ, ã åŒå, ã (q²) / (16 Ï fâ r²)
2ïŒã åçŽ, ã åŒå, ã (q²) / (4 Ï fâ r²)
3ïŒã åçŽ, ã æ¥å, ã (q²) / (4 Ï fâ r²)
4ïŒã å¹³è¡, ã åŒå, ã (q²) / (16 Ï fâ r²)
5ïŒã å¹³è¡, ã æ¥å, ã (q²) / (4 Ï fâ r²) | 1 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
éé d ã® 2 æã®ç¡éã«å€§ããå¹³è¡æ¿é»æ¥µã®éã«é»äœå·® V ãäžãã極æ¿ã«å¹³è¡ã«äžæ§ãªç£å Žãããããé°æ¥µæ¿ããé£ã³åºããé»åãéœæ¥µæ¿ã«å°éããªãããã®ç£æå¯åºŠã®å€§ãã B ã®æ¡ä»¶ãšããŠæã劥åœãªã®ã¯ã©ããã
ãã ããé°æ¥µæ¿ãé£ã³åºãé»åã®åé床㯠0 ãšããŠããããŸããé»åã®è³ªéã mãé»è·ã -eïŒe > 0ïŒãšããã
Choices:
1ïŒB = (mV / e) (1 / d)
2ïŒB = (mV / e) (2 / d)
3ïŒB = (mV² / e) (1 / d)
4ïŒB = (mV / e) (â2 / d)
5ïŒB = (mV² / e) (â2 / d) | 3 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
ååã¢ãã«ã«é¢ãã次ã®èšè¿°ã®ãããããã«åœãŠã¯ãŸããã®ã®çµåããšããŠæã劥åœãªã®ã¯ã©ããã
Choice:
1ïŒé·å²¡å倪é, 1/m = R (1 - e²/n¹²), ãã©ã³ã¯
2ïŒé·å²¡å倪é, 1/m = R (1 - e²/n¹²), ãã©ã³ã¯
3ïŒé·å²¡å倪é, 1/m = R n -]²/mg², ãã©ã³ã¯
4ïŒã©ã¶ãã©ãŒã, 1/m = R (1 - e²/n¹²), ããŒã¢
5ïŒã©ã¶ãã©ãŒã, 1/m = R n -]²/mg², ããŒã¢ | 4 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
Yl-lïŒiïŒzïŒã®è¡šåŒãšããŠæã劥åœãªã®ã¯ã©ããã
Choice:
1ïŒC
2ïŒsinC e^(ilz)
3ïŒsinC e^(-ilz)
4ïŒsinC 2i e^(ilz)
5ïŒsinC 2i e^(-ilz) | 3 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
è§éåéæŒç®åã®åæåã \( L_x, L_y, L_z \) ãšãããšãã亀æå \( [L_x, L_y] \) ã®è¡šåŒãšããŠæã劥åœãªã®ã¯ã©ããããã ãã\( i \) ã¯èæ°åäœã§ããã
Choices:
1ïŒ \( 0 \)
2ïŒ \( i L_z \)
3ïŒ \( i L_z^2 \)
4ïŒ \( i L_x^2 \)
5ïŒ \( i (L_x L_y + L_y L_x) \) | 5 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
å³ã®ããã«ã1 次å
ã®ç¡éã«æ·±ãäºæžåããã³ã·ã£ã«ã
ãã®ããã³ã·ã£ã«äžã«éã蟌ãããã質é m ã®ç²åã®ãšãã«ã®ãŒåºæå€ãšããŠæã劥åœãªã®ã¯ã©ããã
ãã ããd 㯠L ããååå°ãããV0 ã¯æ£ã®äžå®å€ã§ãããšããŠãVïŒxïŒã®ãã¡ V0ïŒ0 †x †dïŒã®å¯äžã 1 次ã®æåã§æ±ã£ãŠãããå¿
èŠãªãã°ãV0 = 0 ã®ç¡æåç³»ã®èŠæ Œåãããåºæé¢æ°
\[
\sqrt{\frac{2}{L}} \sin \left(\frac{n \pi x}{L}\right)
\]
ãšããšãã«ã®ãŒåºæå€
\[
\frac{n^2 \pi^2 \hbar^2}{2mL^2}
\]
ïŒn = 1ïŒ2ïŒ3ïŒâŠïŒãçšããŠããã
Choice:
1ïŒ\(\frac{n^2 \pi^2 \hbar^2}{2mL^2}\)
2ïŒ\(\frac{n^2 \pi^2 \hbar^2}{2mL^2} + \frac{V_0 d}{L}\)
3ïŒ\(\frac{n^2 \pi^2 \hbar^2}{2mL^2} + \frac{2V_0 d}{L}\)
4ïŒ\(\frac{n^2 \pi^2 \hbar^2}{2mL^2} + \frac{V_0 d^2}{L^2}\)
5ïŒ\(\frac{n^2 \pi^2 \hbar^2}{2mL^2} + \frac{3V_0 d}{L}\) | 5 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
1 次å
ã®ããã³ã·ã£ã«ããV0 = -8 eV ã®ããã³ã·ã£ã«ã«ããšãã«ã®ãŒ 0.1 eV ã®é»åã x = 0 ãã x 軞ã®æ£ã®åãã«å
¥å°ãããšããé»åã®åå°çãšããŠæã劥åœãªã®ã¯ã©ããã
Choice:
1ïŒ 0.25
2ïŒ 0.36
3ïŒ 0.49
4ïŒ 0.64
5ïŒ 0.81 | 4 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
å³ã¯ãéçµæ¶ã®äœæž©é åã§ã®ã¢ã«æ¯ç± C ã®æž©åºŠ T äŸåæ§ã枬å®ãããã®æž¬å®çµæããT² ã暪軞ã«ãC/T ã瞊軞ã«ãšã£ãŠãããããããã®ã§ããããã®æž¬å®çµæã®èª¬æãšããŠæã劥åœãªã®ã¯ã©ããã
Choice:
1ïŒC 㯠T ã® 3 ä¹ã«æ¯äŸã㊠T ã®äžæãšãšãã«å¢å ãããããã¯ãäœæž©ã§ã¯é»åã®å±èµ·ãæ¯ç±ã«ã»ãšãã©å¯äžãããæ Œåæ¯åãäž»ã«å¯äžããããã§ããã
2ïŒC 㯠T ã® 3 ä¹ã«æ¯äŸã㊠T ã®äžæãšãšãã«å¢å ãããããã¯ãäœæž©ã§ã¯æ Œåæ¯åã¯æ¯ç±ã«ã»ãšãã©å¯äžãããé»åã®å±èµ·ãäž»ã«å¯äžããããã§ããã
3ïŒC 㯠T ã® 3 ä¹ã«æ¯äŸããé
ãš T ã«æ¯äŸããé
ã«ãã T ã®äžæãšãšãã«å¢å ãããåè
ã¯é»åã®å±èµ·ã®ããã§ãããåŸè
ã¯æ Œåæ¯åã®ããã§ããã
4ïŒC 㯠T ã® 3 ä¹ã«æ¯äŸããé
ãš T ã«æ¯äŸããé
ã«ãã T ã®äžæãšãšãã«å¢å ãããåè
ã¯æ Œåæ¯åã®ããã§ãããåŸè
ã¯é»åã®å±èµ·ã®ããã§ããã
5ïŒC ã¯çµ¶å¯Ÿé¶åºŠã«ãããŠãæéã®å€ããã€ãããã¯ã絶察é¶åºŠã§ã¯ãã§ã«ãçž®éããŠããã®ã§é»åå±èµ·ã¯æ¯ç±ã«å¯äžããªãããæ Œåæ¯åã®é¶ç¹æ¯åãå¯äžããããã§ããã | 4 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
äžçŽç©åå°äœã®é»æ°äŒå°çã«é¢ãã次ã®èšè¿°ã®ãããã«åœãŠã¯ãŸããã®ã®çµåããšããŠæã劥åœãªã®ã¯ã©ããã
Choice:
1. ã 䟡é»åãã³ã, ã exp(-(E_G/2k_B T)), ã ãããŒæºäœ, ã exp(-(E_D/2k_B T)), ã å³ A
2. ã 䟡é»åãã³ã, ã exp(-(E_G/2k_B T)), ã ãããŒæºäœ, ã exp(-(E_D/2k_B T)), ã å³ C
3. ã 䟡é»åãã³ã, ã exp(-(E_G/2k_B T)), ã ãããŒæºäœ, ã exp(-(E_D/2k_B T)), ã å³ B
4. ã ãããŒæºäœ, ã exp(-(E_D/2k_B T)), ã 䟡é»åãã³ã, ã exp(-(E_G/2k_B T)), ã å³ A
5. ã ãããŒæºäœ, ã exp(-(E_D/2k_B T)), ã 䟡é»åãã³ã, ã exp(-(E_G/2k_B T)), ã å³ C | 1 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
ç¶æ
å¯åºŠãæ倧ãšãªããšãã«ã®ãŒã®ã¿ãå
šãŠæããŠããã®ã¯ã©ããã
Choices:
1ïŒ\( \frac{t}{2}, -\frac{t}{2} \)
2ïŒ\(-t, t\)
3ïŒ\(-2t, 2t\)
4ïŒ\( \frac{t}{2}, -\frac{t}{2}, t \)
5ïŒ\(-2t, -t, t, 2t\) | 3 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
é
žçŽ ååã®åºåºç¶æ
ã®é»åé
眮ãšããŠæã劥åœãªã®ã¯ã©ããã
Choice:
1ïŒïŒ1sïŒ2ïŒ2sïŒ2ïŒ2pïŒ4
2ïŒïŒ1sïŒ2ïŒ2sïŒ3ïŒ2pïŒ3
3ïŒïŒ1sïŒ2ïŒ2sïŒ4ïŒ2pïŒ2
4ïŒïŒ1sïŒ2ïŒ2sïŒ2ïŒ2pïŒ2ïŒ3sïŒ2
5ïŒïŒ1sïŒ2ïŒ2sïŒ2ïŒ2pïŒ3ïŒ3sïŒ1 | 1 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
åå°ç¹ã®å°é¢ããã®é«åºŠ 10 m ã«ããã颚éãšããŠæã劥åœãªã®ã¯ã©ããã
Choice:
1ïŒ3.5 m/s
2ïŒ4.1 m/s
3ïŒ4.8 m/s
4ïŒ6.0 m/s
5ïŒ8.0 m/s | 4 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | ```
Question:
x = 0 ã®è¿å㧠S(x) ããã€ã©ãŒå±éããDx ã® 3 次ã®é
ãŸã§æ®ããŠè©äŸ¡ãããã®ãšãããS(x) ãååæ»ãããªé¢æ°ã§ãããDx ãååå°ããæ£ã®å€ã§ãããšä»®å®ãããšãããã®è¿äŒŒã®èª€å·® S(0) - SÌ(0) ã®å€ãšããŠæã劥åœãªã®ã¯ã©ããã
Choice:
1ïŒ- (3 Dx² / 3!) d³S/dx³ |_{x=0}
2ïŒ(3 Dx² / 3!) d³S/dx³ |_{x=0}
3ïŒ(3 Dx³ / 3!) d³S/dx³ |_{x=0}
4ïŒ- (3 Dx³ / 3!) d³S/dx³ |_{x=0}
5ïŒ(3 Dxâµ / 3!) d³S/dx³ |_{x=0}
``` | 4 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
ãã®ãšãããã®å±€ã®äžç«¯ä»è¿ã«ãããã氎平移æµã«ããæ°æž©ã®æéå€åç -VBã»dT ãšããŠæã劥åœãªã®ã¯ã©ããã
ãã ãããã®å±€ã®äžã§ã¯ dT ãäžå®ã§ãããšããããªããå¿
èŠãªãã°ã以äžã®å
¬åŒãçšããŠããã
ä»»æã®ã¹ã«ã©ãŒå Ž S ã«å¯Ÿã㊠k #ïŒk #dSïŒ= -dS
ä»»æã®ãã¯ãã« AïŒBïŒC ã«å¯Ÿã㊠Aã»ïŒB # C ïŒ= Bã»ïŒC # AïŒ= Cã»ïŒA # BïŒ
ç¹ã«ãAã»ïŒB # AïŒ= Bã»ïŒA # AïŒ= 0 ã§ããã
Choice:
1ïŒ(f / 2) * ( (pB / pT)^(R / g) )
2ïŒ(f / p) * ( (pB / pT)^(R / g) ) * |VT - VB| * sin(i)
3ïŒ(f / p) * ( (pB / pT)^(R / g) )
4ïŒ(R / g) * ln(pB / pT)
5ïŒ(R / g) * ln(pB / pT) * (f^2 / pB) * |VT - VB| * sin(i) | 3 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
也湿èšã¯ã也çãšæ¹¿çã®æž©åºŠå·®ãå©çšããŠæ¹¿åºŠã枬å®ããè£
眮ã§ãããããŸã湿çè¡šé¢ã«ãããŠåšå²ã®ç©ºæ°ããåãåãé¡ç±ãšèžçºã«ãã倱ãããæœç±ãé£ãåã
CpïŒT - TwïŒpMd = LïŒes - eïŒMv
ãæãç«ã£ãŠãããšãããããã§ãCp ã¯ä¹Ÿç¥ç©ºæ°ã®å®å§æ¯ç±ãT ã¯åšå²ã®æ°æž©ïŒ=也ç枩床ïŒãTw ã¯æ¹¿ç枩床ãp ã¯æ°å§ãMd ã¯ä¹Ÿç¥å€§æ°ã®å¹³åååéãL ã¯æ°Žã®èžçºç±ães 㯠Tw ã«ããã飜åæ°Žèžæ°å§ãe ã¯åšå²ã®æ°Žèžæ°åå§ãMv ã¯æ°Žã®ååéã§ãããæ°Žèžæ°ã®ååšã«ããé¡ç±ã®å€åã¯ç¡èŠããŠãããp = 1000 hPa ã®å Žæ㧠T = 26.0 âãTw = 20.0 â ãšèšæž¬ããããšãããã®åšå²ã®çžå¯Ÿæ¹¿åºŠãšããŠæã劥åœãªã®ã¯ã©ããã
ãã ãã飜åæ°Žèžæ°å§çã®å€ã¯ä»¥äžã®ãšãããšããã
26.0 â ã«ããã飜åæ°Žèžæ°å§ 33.7 hPa
20.0 â ã«ããã飜åæ°Žèžæ°å§ 23.4 hPa
Cp = 1.0 à 10³ J/ïŒkgã»KïŒïŒL = 2.5 à 10ⶠJ/kgïŒ
Md / Mv = 0.622
Choice:
1ïŒ 33 ïŒ
2ïŒ 49 ïŒ
3ïŒ 58 ïŒ
4ïŒ 69 ïŒ
5ïŒ 83 ïŒ
| 3 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
å°çæž©æåã«é¢ãã次ã®èšè¿°ã®ãããã«åœãŠã¯ãŸããã®ã®çµåããšããŠæã劥åœãªã®ã¯ã©ããã
ãå³ã¯ã人çºçã«å€§æ°ã«æåºãããæåã®ããããã«ã€ããŠã1750 幎ãã 2019 幎ã«ãããæå¹æŸå°åŒ·å¶åã«å¯ŸããçŽæ¥çåã³éæ¥çãªå¯äžã®åèšãæ°åã¢ãã«ã«åºã¥ããŠèŠç©ãããæè¯æšå®å€åã³ 90 % ä¿¡é Œåºéãæ£ã°ã©ãåã³ãšã©ãŒããŒã§ç€ºãããã®ã§ããããããæåã®ãã¡ãäºé
žåççŽ ïŒCO2ïŒã«æ¬¡ãã§äººçºçæåºãæž©æåã«å¯äžãããšèããããã®ã¯ ã ã§ãããäžæ¹ã人çºçæåºãæž©æåã®æå¶ã«æã匷ãåãããšèããããæå㯠ã ã§ãããã ã®å·åŽå¹æã®å€§éšåã¯ãã ããçãããšãŒããŸã«ãåçµæ žãšãªãé²ã®æŸå°ç¹æ§ãå€ããéæ¥å¹æã§ãããšèŠç©ããããŠããã
é²ã¯å€ªéœããã®æŸå°ãåå°ããŠå°è¡šãå·ããåããšãå®å®ãžæŸåºãããèµ€å€æŸå°éãæžãããŠå°è¡šãæž©ããåãã䜵ããã£ãŠãããããé²ã®æ£å³ã®å¹æã¯ãããäºã€ã®åãã®å
Œãåãã§æ±ºãŸããäžè¬ã«ãäžå±€ã®èãæ°·æ¶é²ã¯å°è¡šã ã å¹æãåè¶ããäžå±€é²ãäžå±€é²ã¯å°è¡šã ã å¹æãåè¶ãããã
Choice:
1ïŒã äºé
žåç¡«é»ïŒSO2ïŒ ã ã¡ã¿ã³ïŒCH4ïŒ ã æž©ãã ã å·ãã
2ïŒã æ°ŽïŒH2OïŒ ã ã¡ã¿ã³ïŒCH4ïŒ ã æž©ãã ã å·ãã
3ïŒã æ°ŽïŒH2OïŒ ã äºé
žåç¡«é»ïŒSO2ïŒ ã æž©ãã ã å·ãã
4ïŒã ã¡ã¿ã³ïŒCH4ïŒ ã äºé
žåç¡«é»ïŒSO2ïŒ ã å·ãã ã æž©ãã
5ïŒã ã¡ã¿ã³ïŒCH4ïŒ ã äºé
žåç¡«é»ïŒSO2ïŒ ã æž©ãã ã å·ãã | 5 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
ããå°éãå³ã®ãããªéæºã¡ã«ããºã 解ã§ãã£ãããã®ãšããé倮ã®æ±åŽïŒçŽé¢ã®å³åŽïŒã®æ¹åã«æŸå°ããã P 波㚠S æ³¢ã«ããå°ç€ã®æåã®ããã®æ¹åïŒéåæ¹åïŒã«é¢ããèšè¿°ã®çµåããšããŠæã劥åœãªã®ã¯ã©ããã
ãã ãããã®ã¡ã«ããºã 解ã¯äžåçæ圱ã§ãé倮ãäžå¿ãšããŠæãããŠãããšããããŸããå°ç€ã¯äžæ§ã§ãããšããå°è¡šé¢ã®åœ±é¿ã¯èããªããŠãããšããã
Choice:
1ïŒP æ³¢: äžåãïŒæŒãïŒãS æ³¢: å³äžïŒã¢ïŒã®æ¹å
2ïŒP æ³¢: äžåãïŒæŒãïŒãS æ³¢: 芳枬ãããªã
3ïŒP æ³¢: äžåãïŒåŒãïŒãS æ³¢: å³äžïŒã€ïŒã®æ¹å
4ïŒP æ³¢: 芳枬ãããªããS æ³¢: å³äžïŒã¢ïŒã®æ¹å
5ïŒP æ³¢: 芳枬ãããªããS æ³¢: å³äžïŒã€ïŒã®æ¹å | 5 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
èªè»¢ãããŠããªãäžæ§ãªå¯åºŠããã€ååŸ R ã®çç¶ã®å€©äœãèããããã®å€©äœã®è¡šé¢ãšãé«åºŠ hïŒh â 0ïŒã® 2 ç¹ã§éåãèšæž¬ãããé«åºŠ h ã§ã®éåå é床ã®å€§ããã¯ããã®å€©äœã®è¡šé¢ã§ã®éåå é床ã®å€§ããã® 99.98ïŒ
ã§ãã£ããh ãš R ã®é¢ä¿ãšããŠæã劥åœãªã®ã¯ã©ããã
Choice:
1ïŒhïŒR = 1ïŒ102
2ïŒhïŒR = 1ïŒ103
3ïŒhïŒR = 1ïŒ104
4ïŒhïŒR = 1ïŒ105
5ïŒhïŒR = 1ïŒ106 | 3 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | ```
Question:
æå» t ã«ãããå°è¡šïŒz = 0ïŒã®æž©åºŠ TïŒ0ïŒtïŒããå¹³å枩床ã Ts ãšããŠã
TïŒ0ïŒtïŒ = Ts + T0 cos ( 2Ït / t0 )
ã®ããã«åšæ t0ãæ¯å¹
T0 ã®æ£åŒŠæ¯åããããšãã枩床å€åã®æ¯å¹
ã 1/e ãšãªãæ·±ã zïŒz > 0ïŒãšããŠ
æã劥åœãªã®ã¯ã©ããã
ãã ããå°ç€ã¯äžæ§ãªç±æ¡æ£ç lïŒl > 0ïŒã®åç¡éåªè³ªãšãã枩床ååž TïŒzïŒtïŒã¯ 1 次å
æ¡æ£æ¹çšåŒ
âT / ât = l ( â²T / âz² )
ã«åŸããã®ãšããã
Choice:
1ïŒâ(l t0 / Ï)
2ïŒâ(Ï l t0)
3ïŒâ(l t0 / 2)
4ïŒâ(2 l t0 / Ï)
5ïŒâ( l t0 / 2Ï )
``` | 3 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
å°çç£å Žã®ããã³ã·ã£ã«ãã次ã®ãããªå°çã®äžå¿ã«çœ®ãããå極ååã®ããã³ã·ã£ã«
V ã§è¡šããããšããã
V = (m cos i) / (r²)
ããã§ãå°çã¯çã§ãããšããi ã¯ç£åããã®äœç·¯åºŠïŒr² ãããç£åãå極ç¹ãšã¿ãªãããšãã®ç·¯åºŠãåŒãããã®ïŒãr ã¯å°çã®äžå¿ããã®è·é¢ãm ã¯ç£æ°ã¢ãŒã¡ã³ãã§ãããå°è¡šã§ã®å
šç£åãèãããšããèµ€éã«ãããå
šç£åã«å¯Ÿããå極ã«ãããå
šç£åã®æ¯ãšããŠæã劥åœãªã®ã¯ã©ããã
ãªãã極座æšç³»ïŒrïŒiïŒzïŒã«ãããåŸé
æŒç®å d ã¯
â = (er â/âr) + (ei (1/r) â/âi) + (ez (1/(r sin i)) â/âz)
ã§è¡šããããããã§ãïŒerïŒeiïŒezïŒã¯æ¥µåº§æšç³»ã®åºåºãã¯ãã«ãè¡šãã
Choice:
1ïŒ1
2ïŒ2
3ïŒ3
4ïŒ4
5ïŒ5 | 2 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
çç¶å§åæºã«é¢ãã次ã®èšè¿°ã®ãããã«åœãŠã¯ãŸããã®ã®çµåããšããŠæã劥åœãªã®ã¯ã©ããã
ãå°äžã«ããçç¶å§åæºã«ãã£ãŠçããå°è¡šã§ã®éçŽæ¹åãšååŸæ¹åã®å€äœã¯
u_z = (1 - o) * (3 * D * a^3 * p) / (r^2 + d^2)^(3/2)
u_r = (1 - o) * (3 * D * a^3 * p * r) / (r^2 + d^2)^(3/2)
ãšè¡šããããããã§ãu_zãu_r ã¯ããããå€äœã®éçŽæåãååŸæåãdãaãD p ã¯ããããçç¶å§åæºã®äžå¿ã®æ·±ããååŸãéå°å§ãr ã¯çç¶å§åæºãã芳枬ç¹ãŸã§ã®æ°Žå¹³è·é¢ãoãn ã¯ããããåªè³ªã®ãã¢ãœã³æ¯ãåæ§çã§ããã
å€äœã®éçŽæåã¯ãçç¶å§åæºçŽäžã§æ倧ã§ãããrã0.77d ã§çç¶å§åæºçŽäžã®å€äœã®éçŽæåã® ã ã«ãªããååŸæåã®å€§ãã㯠rã0.71d 㧠ã ãšãªããããããçšããããšã«ããã芳枬ããŒã¿ããçç¶å§åæºã®æ·±ãã倧ãŸãã«æšæž¬ããããšãã§ãããã
Choice:
1ïŒã æ倧ãã æ倧
2ïŒã æ倧ãã æå°
3ïŒã æå°ãã æ倧
4ïŒã æ倧ãã æå°
5ïŒã æå°ãã æå° | 4 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
ãã®å°åã®å°è³ªæ§é ã«é¢ããèšè¿°ãããã®ãã¡ã劥åœãªãã®ã®ã¿ãå
šãŠæããŠããã®ã¯ã©ããã
Choice:
1ïŒã
2ïŒããã
3ïŒããã
4ïŒããã
5ïŒããã | 3 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
倧éžãšæµ·æŽåºã®æŽå²ã®èšŒæ ã«é¢ããèšè¿°ãããã®ãã¡ã劥åœãªãã®ã®ã¿ãæããŠããã®ã¯ã©ããã
Choices:
1ïŒããã
2ïŒããã
3ïŒããã
4ïŒããã
5ïŒããã | 2 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
岩ç³ã®é¢æ§é ã«é¢ãã次ã®èšè¿°ã®ãããã«åœãŠã¯ãŸããã®ã®çµåããšããŠæã劥åœãªã®ã¯ã©ããã
Choice:
1ïŒã åçŽãª ã è»žé¢ ã å¹³è¡ãª ã åŸæ耶æ²
2ïŒã åçŽãª ã è»žé¢ ã åçŽãª ã å¹³è¡ãª
3ïŒã åçŽãª ã å±€é¢ ã å¹³è¡ãª ã åææ§é
4ïŒã å¹³è¡ãª ã è»žé¢ ã åçŽãª ã åŸæ耶æ²
5ïŒã å¹³è¡ãª ã å±€é¢ ã å¹³è¡ãª ã åææ§é | 1 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
éåç°åžžãšå°äžæ§é ã«é¢ãã次ã®èšè¿°ã®ãããããã«åœãŠã¯ãŸããã®ã®çµåããšããŠæã劥åœãªã®ã¯ã©ããã
ããžãªã€ãé¢ãšæž¬å®ç¹ã®éã«ããç©è³ªã®éåã®åœ±é¿ãåãé€ãéåè£æ£ãããè£æ£ãšããã
â
ãâ
¡ã®ãããªå°äžæ§é æé¢å³ã®å Žåã«ã¯ãå°è¡šé¢äžã®X-Yã«æ²¿ã£ãŠãããããããã®ãããªãã¿ãŒã³ã®ãç°åžžã芳枬ããããã
â
ïŒç«å±±ç°ïŒæ·¡è²éšåïŒã«èŠãããã«ã«ãã©
â
¡ïŒå ç©å²©å±€äžã®éå±é±åºïŒæ¿è²éšåïŒ
Choice:
1ïŒã ããªãŒãšã¢, ã A, ã A
2ïŒã ããªãŒãšã¢, ã A, ã B
3ïŒã ããªãŒãšã¢, ã B, ã B
4ïŒã ããŒã²ãŒ, ã A, ã B
5ïŒã ããŒã²ãŒ, ã B, ã A | 4 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
ããå°åã®å°è³ªèª¿æ»ããããšããã泥岩ãã·ã«ã岩ãç³ç°å²©ãè±åŽå²©ãååžããããšãå€æããããããããã®å±€åºé¢ä¿ãçŽæ¥ç€ºãé²é ã¯èŠãã ããªãã£ããããã§ããããã®å²©ç³ã®ç£ç¶ã»å¹Žä»£ã»ç£åºåç³ã調ã¹ããšã以äžã®èšè¿°ãããã®çµæãåŸããããããããåºã«ãããšã圢æé åºãšããŠæã劥åœãªã®ã¯ã©ããã
ãã ãããã®å°åã«ã¯ãäžèšã®å²©ç³ä»¥å€ã¯ååžããªããã®ãšããã
ããç³ç°å²©ãã貚幣ç³ïŒãã³ã ãªãã¹ïŒã®åç³ãç£åºããã
ãã泥岩ã¯ç¡¬ãç·»å¯ãªå²©ç³ã«å€åããŠãããèçŒã§æç¹ç¶ã®è«éç³ãèŠãããèç芳å¯ã§ã¯çŽ°ç²ã®é»é²æ¯ãå€ãåºçŸããŠããããšã確èªãããã
ããã·ã«ã岩ã®åºåºéšã«ã¯è±åŽå²©ã®ç€«ãå«ãŸããäžéšã§ã¯ã¢ã³ã¢ãã€ããã€ãã»ã©ã ã¹ã®åç³ãç£åºããã
ããè±åŽå²©ã®ãžã«ã³ã³ U-Pb 幎代ã枬å®ãããšããã150 Ma ã®å€ãåŸãã
Choice:
1ïŒç³ç°å²©ãâã泥岩ãâãã·ã«ã岩ãâãè±åŽå²©
2ïŒç³ç°å²©ãâãã·ã«ã岩ãâã泥岩ãâãè±åŽå²©
3ïŒæ³¥å²©ãâãè±åŽå²©ãâãã·ã«ã岩ãâãç³ç°å²©
4ïŒæ³¥å²©ãâãè±åŽå²©ãâãç³ç°å²©ãâãã·ã«ã岩
5ïŒè±åŽå²©ãâãã·ã«ã岩ãâãç³ç°å²©ãâã泥岩 | 3 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
å³ã¯ãè±åŽå²©ãåºç€ãšããŠæµ·æå±€ãå ç©ããå°åã®æ±ç¶å³ã§ããããã®æ±ç¶å³ã«é¢ããèšè¿°ãããã®ãã¡ã劥åœãªãã®ã®ã¿ãå
šãŠæããŠããã®ã¯ã©ããããã ããå ç©äœçšã®äžæã¯ç¡ãã£ããã®ãšããã
Choice:
1ïŒããã
2ïŒããã
3ïŒããã
4ïŒããã
5ïŒã | 2 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
颚åäœçšã«é¢ããèšè¿°ãããã®ãã¡ã劥åœãªãã®ã®ã¿ãå
šãŠæããŠããã®ã¯ã©ããã
Choices:
1ïŒã
2ïŒããã
3ïŒã
4ïŒããã
5ïŒã | 4 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
å°è³ªå¹Žä»£åºåã«é¢ããèšè¿°ãããã®ãã¡ã劥åœãªãã®ã®ã¿ãå
šãŠæããŠããã®ã¯ã©ããã
Choice:
1ïŒã
2ïŒããã
3ïŒããã
4ïŒããã
5ïŒããã | 2 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
èæ€åç©ã®é²åå²ã«é¢ããèšè¿°ãããã®ãã¡ã劥åœãªãã®ã®ã¿ãå
šãŠæããŠããã®ã¯ã©ããã
Choice:
1ïŒã
2ïŒããã
3ïŒããã
4ïŒããã
5ïŒããã | 4 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
çœäºçŽæ«ã«èµ·ãã£ãå°çå€å€©äœã®å°çãžã®è¡çªã«é¢ãã次ã®èšè¿°ã®ãããã«åœãŠã¯ãŸããã®ã®çµåããšããŠæã劥åœãªã®ã¯ã©ããã
ãçœäºçŽæ«ã«å°çå€å€©äœãå°çã«è¡çªãã蚌æ ã®äžã€ã¯ãçœäºçŽãšå€ç¬¬äžçŽã®å¢çã«ãããå°å±€ã«ã ã ãç°åžžã«é«æ¿åºŠã§å«ãŸããŠããããšã§ããããã®å
çŽ ã¯å°çã®è¡šé¢ã«ã¯ã»ãšãã©ååšãããéç³ãªã©ã«å«ãŸããŠããããŸããåãå°å±€ããã岩ç³ãèžçºã㊠ã ãååºçµããç¹åŸŽçãªåœ¢ç¶ã®ç²åïŒã¹ãã§ãªã¥ãŒã«ïŒãèŠä»ããããããå°çå€å€©äœãå°çã«è¡çªããããšãæ¯æããŠããããã®å°çå€å€©äœè¡çªã¯ãå°çäžã®çç©ã«éåžžã«å€§ããªåœ±é¿ãåãŒããæç«ã ã ãšãã£ãäžç代ã代衚ãããããªçç©ã絶æ»
ãããè¡çªçŽåŸã®å°å±€ã«ã¯ ã ã倧éã«èŠä»ãããå
åæã«ããæ€ç©ã®çè²ã劚ããããŠããããšãåãããã
Choice:
1ïŒã ã€ãªãžãŠã , ã çªé
žå¡©, ã ã¢ã³ã¢ãã€ã, ã èé¡ã®èå
2ïŒã ã€ãªãžãŠã , ã çªé
žå¡©, ã ã¢ã³ã¢ãã€ã, ã ã·ãæ€ç©ã®èå
3ïŒã ã€ãªãžãŠã , ã çé
žå¡©, ã ã¢ã³ã¢ãã€ã, ã ã·ãæ€ç©ã®èå
4ïŒã ã¹ããã³ããŠã , ã çªé
žå¡©, ã ã¢ã³ã¢ãã€ã, ã ã·ãæ€ç©ã®èå
5ïŒã ã¹ããã³ããŠã , ã çé
žå¡©, ã äžèè«, ã èé¡ã®èå | 1 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
ãã°ãã®çš®é¡ãšæ§è³ªã«é¢ãã次ã®è¡šã®ãããã«åœãŠã¯ãŸããã®ã®çµåããšããŠæã劥åœãªã®ã¯ã©ããã
Choice:
1ïŒå€ãïŒå°ãªã é«ãïŒäœã çœã£ãœãïŒé»ã£ãœã 溶岩æµïŒæº¶å²©ããŒã
2ïŒå€ãïŒå°ãªã äœãïŒé«ã é»ã£ãœãïŒçœã£ãœã 溶岩ããŒã ïŒæº¶å²©æµ
3ïŒå°ãªãïŒå€ã é«ãïŒäœã é»ã£ãœãïŒçœã£ãœã 溶岩æµïŒæº¶å²©ããŒã
4ïŒå°ãªãïŒå€ã é«ãïŒäœã çœã£ãœãïŒé»ã£ãœã 溶岩ããŒã ïŒæº¶å²©æµ
5ïŒå°ãªãïŒå€ã äœãïŒé«ã é»ã£ãœãïŒçœã£ãœã 溶岩æµïŒæº¶å²©ããŒã | 5 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
ãããããã¯ããããç°ãªãç«å±±å°åœ¢ãè¡šããŠããããããããã®å°åœ¢ã®ããããã®å称ã®çµåããšããŠæã劥åœãªã®ã¯ã©ããã
ãªããããšãã®çé«ç·ã®éé㯠10 mããã®çé«ç·ã®éé㯠100 m ã§ããã
Choice:
1ïŒã«ã«ãã©ã溶岩åé äžãæå±€ç«å±±
2ïŒã«ã«ãã©ãæå±€ç«å±±ãç«å±±ç å±äž
3ïŒæº¶å²©åé äžãã«ã«ãã©ãç«å±±ç å±äž
4ïŒæº¶å²©åé äžãç«å±±ç å±äžãæå±€ç«å±±
5ïŒç«å±±ç å±äžãæå±€ç«å±±ãã«ã«ãã© | 4 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
åå
é¡åŸ®é¡ã«ãã岩ç³èç芳å¯ã«é¢ããèšè¿°ãããã®ãã¡ã劥åœãªãã®ã®ã¿ãå
šãŠæããŠããã®ã¯ã©ããã
Choice:
1ïŒã
2ïŒããã
3ïŒããã
4ïŒããã
5ïŒã | 5 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
次ã®èçåçâ ãâ¡ãâ¢ãšãã®èª¬ææãããã岩ç³åâãâãæ£ããçµã¿åãããŠããã®ã¯ã©ããã
ãã ããèçåçã¯çŽäº€ãã³ã«ïŒçŽäº€ããŒã©ãŒïŒã§ç°ãªãåçã§æ®åœ±ãããã®ãšããã
Choice:
1ïŒâ âãââ
2ïŒâ âãââ
3ïŒâ¡âãââ
4ïŒâ¡âãââ
5ïŒâ¢âãââ | 4 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
ãªããŠã è³æºã«é¢ããèšè¿°ãããã®ãã¡ã劥åœãªãã®ã®ã¿ãæããŠããã®ã¯ã©ããã
Choice:
1ïŒããã
2ïŒããã
3ïŒããã
4ïŒããã
5ïŒããã | 1 |
ì늬곌í·묌늬·ì§êµ¬ê³Œí | Question:
å°çã®å°è¡šé¢ïŒæµ·åºé¢ãå«ãïŒå°åœ¢ã®ç¹åŸŽã瀺ãé«åºŠé¢ç©æ²ç·ïŒå³â
ïŒãšæšé«é »åºŠååžïŒå³â
¡ïŒã«é¢ãã次ã®èšè¿°ã®ãããããã«åœãŠã¯ãŸããã®ã®çµåããšããŠæã劥åœãªã®ã¯ã©ããã
ãå³â
ããã¯ãå°è¡šç·é¢ç©ã®çŽãã¯éžå°ã§ããããšãèªã¿åãããå³â
¡ã§èŠãããäºã€ã®ããŒã¯ã¯å³â
ã§æ²ç·ã®åŸããç·©ãããªéšåã«å¯Ÿå¿ããäžã®ããŒã¯ã¯å¹³éã«ãäžã®ããŒã¯ã¯ãã«çžåœããããããäºã€ã®ããŒã¯ããã€å°åœ¢ã圢æãããã®ã¯ããã®ç°ãªãïŒçš®é¡ã®å°æ®»ãååšããããšãããªãã¡ã倧éžå°æ®»ã®æ¹ãæµ·æŽå°æ®»ããããå°ããããšãèŠå ã®äžã€ã§ãããã
Choice:
1ïŒ 15 % 倧éžæé¢ é¢ç©
2ïŒ 15 % 深海平å å¯åºŠ
3ïŒ 30 % 倧éžæé¢ é¢ç©
4ïŒ 30 % 倧éžæé¢ å¯åºŠ
5ïŒ 30 % 深海平å å¯åºŠ | 5 |
ì¬ë¬Žì ë¬žêŽ êž°ìŽ | Question:
次ã®æã®å
容ãšåèŽãããã®ãšããŠæã劥åœãªã®ã¯ã©ããã
Choice:
1ïŒãå¿ã®éãã¯æ Œå·®ã»è²§å°åé¡ãèªç¥ããªãç¶æ³ã«ãããŠå€ãèªãããèšèã§ããã人ã³ãšã«ãããã®èªç¥ãé
ããããšã«ãã£ãŠå¶æªãªå°å¹Žç¯çœªãå¿ã®åé¡ãšããŠç€ŸäŒåé¡åããã
2ïŒ1980 幎代以éãå¿ã«åé¡ãæ±ããåã©ããå¢å ããæè²ã®é åã«ãããŠåã©ãã®å¿ã®ç解ã®éèŠæ§ã匷調ãããããã«ãªã£ãããšã«ãããå¿ç䞻矩åãé²è¡ããã
3ïŒ1970 幎代以éã®ãã¹ãå·¥æ¥åãš 90 幎代åé ã®ããã«åŽ©å£ã«ãã£ãŠç€ŸäŒç¶æ³ãäžå®å®åããçµæãå¶æªç¯çœªã®ä»¶æ°ãå¢å ãã倧ãã瀟äŒåé¡åããããšãšãªã£ãã
4ïŒ1990 幎代åŸåããã®å°å¹Žç¯çœªã¯ãå¿ã®éããåå ã§ãã£ããã2000 幎代åã°ãã瀟äŒã®æ§é ãå€åããã«ã€ããå°å¹Žç¯çœªã®åå ã¯æ Œå·®ã»è²§å°ã«ç§»è¡ããã
5ïŒããã«åŽ©å£ã«ãã£ãŠç€ŸäŒã®äžæ žãç°åžžçŸè±¡ãèµ·ãããçµæãåšèŸºã«ããããæ§é å€åãé£éããŠåŒãèµ·ããããŠããŸã£ãã | 5 |
ì¬ë¬Žì ë¬žêŽ êž°ìŽ | Question:
次ã®ãšã®æã®éã®ïŒ¡ãã䞊ã¹æ¿ããŠç¶ãããšæå³ã®éã£ãæç« ã«ãªããããã®é åºãšããŠæã劥åœãªã®ã¯ã©ããã
Choice:
1ïŒïŒ£ââââ
2ïŒïŒ£ââââ
3ïŒïŒ€ââââ
4ïŒïŒ€ââââ
5ïŒïŒ¥ââââ | 2 |
ì¬ë¬Žì ë¬žêŽ êž°ìŽ | Question:
次ã®æã®_______ã«åœãŠã¯ãŸããã®ãšããŠæã劥åœãªã®ã¯ã©ããã
Choice:
1ïŒãã®(cid:7652)è€ã«èãã€ã€ãäž¡æ¹ã®å Žåã«ã€ããŠããæ€èšããããš
2ïŒãŸãã¯ã¯ã©ã€ã¢ã³ãã®(cid:7652)è€ãåŸèŽãã€ã€ããèªç«ãã«ã€ããŠæ€èšããããš
3ïŒçŸåšã®æ代粟ç¥ã«åãããŠãèªç«ãããšã£ãäžã§ãå
±ã«(cid:7652)è€ãæ±ããããš
4ïŒæ¬äººã®å€æãå°éãã€ã€ãæåçç¶æ³ã«åãããæ¹æ³ãå§ããããš
5ïŒã芪åè¡ããšãèªç«ãã®äž¡æ¹ããšãå
¥ããæ¹æ³ãæ¢çŽ¢ããããš | 1 |
ì¬ë¬Žì ë¬žêŽ êž°ìŽ | Question:
次ã®æã®å
容ãšåèŽãããã®ãšããŠæã劥åœãªã®ã¯ã©ããã
Choice:
1ïŒ20 äžçŽåŸåã«ãªãŸã³å±€ãç Žå£ãããDNA ãç Žå£ãã玫å€ç·ãå°è¡šã«å±ãããã«ãªãããããªã©ã®ç
æ°ã®ãªã¹ã¯ãæ¥æ¿ã«äžæãã人éã®å¹³å寿åœãäœäžãããšããäºå®ã確èªãããã
2ïŒ1970 幎ããªãŸã³ããŒã«ãç§åŠè
ããçºèŠãããã® 2 幎åŸã«ã¯äžç 46 ãåœãæ害ååŠç©è³ªãå³æçŠæ¢ãããšãããã¢ã³ããªãªãŒã«è°å®æžããæ¡æãããã
3ïŒåœé£ãç±³åœãEU ãå
±å補äœããå ±åæžã§ã¯ãæ害ååŠç©è³ªã®å»æ¢ãæšé²ããçŸåšã®åçµãç¶ç¶ãããã°ãå Žæã«ãã£ãŠææã¯ç°ãªããã®ã®ããªãŸã³å±€ã¯ãªãŸã³ããŒã«ãåºçŸããåã®å€ãŸã§å埩ãããšè¿°ã¹ãããŠããã
4ïŒãªãŸã³å±€ã®ç Žå£ã¯æ°åå€åã®äž»ãªåå ã§ããããªãŸã³å±€ãä¿è·ããããšã¯å°çæž©æå察çã«ãããŠéåžžã«å¹æçã§ãã£ããšåœé£ãç±³åœãEU ãå
±å補äœããå ±åæžã§ã¯åŒ·èª¿ãããŠããã
5ïŒç°å¢å±æ©ã®åé¿ãç®çãšããååœã®è¿
éãªè¡åããªãŸã³å±€ã®ä¿è·ã«å¹æçã§ãããšããç 究çµæãåŸãããããšãèžãŸããå°æ¥ã«ããã£ãŠãªãŸã³å±€ã®æ¹åãä¿èšŒãããŠãããšããååœã®èŠè§£ãå ±åãããã | 2 |
ì¬ë¬Žì ë¬žêŽ êž°ìŽ | Question:
次ã®æã®åŸã«ãã¢ããªã䞊ã¹æ¿ããŠç¶ãããšæå³ã®éã£ãæç« ã«ãªããããã®é åºãšããŠæã劥åœãªã®ã¯ã©ããã
Choices:
1ïŒã¢âãŠâãªâã€âãš
2ïŒã€âãšâãŠâãªâã¢
3ïŒãŠâãšâãªâã¢âã€
4ïŒãšâã¢âãŠâã€âãª
5ïŒãšâãŠâã¢âãªâ〠| 3 |
ì¬ë¬Žì ë¬žêŽ êž°ìŽ | Question:
次ã®æã®_______ã«åœãŠã¯ãŸããã®ãšããŠæã劥åœãªã®ã¯ã©ããã
Choices:
1ïŒmost of these sweeteners are not naturally occurring
2ïŒthese sweeteners donÊŒt offer any health benefits but also do not cause harm
3ïŒpolyphenol is recommended for consumption because of its nutritional value
4ïŒa half of the patients with diabetes consume these sweeteners on a daily basis
5ïŒthe alternatives to sugar and fat are not effective to reduce the risk of diseases | 1 |
ì¬ë¬Žì ë¬žêŽ êž°ìŽ | Question:
å
¬åã«èšçœ®ãããéå
·ã«ã€ããŠæ¬¡ã®ããšãåãã£ãŠãããšããè«ççã«ç¢ºå®ã«ãããã®ã¯ã©ããã
â ç å Žåã¯ãã¹ãå°ãããå
¬åã«ã¯ãã¶ããããããã
â éæ£ãããå
¬åã«ã¯ããžã£ã³ã°ã«ãžã ããªãã
â ãžã£ã³ã°ã«ãžã ãããå
¬åã«ã¯ããã¹ãå°ãããã
â éæ£ããªãå
¬åã«ã¯ãç å Žããªãã
Choice:
1ïŒç å Žãããå
¬åã«ã¯ããžã£ã³ã°ã«ãžã ããªãã
2ïŒãã¹ãå°ãããå
¬åã«ã¯ãéæ£ãããã
3ïŒã¶ãããããªãå
¬åã«ã¯ãéæ£ããªãã
4ïŒãã¹ãå°ããªãå
¬åã«ã¯ãç å Žãããã
5ïŒéæ£ããªãå
¬åã«ã¯ããžã£ã³ã°ã«ãžã ãããã | 3 |
ì¬ë¬Žì ë¬žêŽ êž°ìŽ | Question:
ããåŠæ ¡ã®çåŸæ° 25 人ã®ã¯ã©ã¹ã«ã€ããŠãããã®äžã€ã®ä¿ãžã®åå ç¶æ³ã調ã¹ããšããã次ã®ããšãåãã£ãããã®ãšãã確å®ã«ãããã®ã¯ã©ããã
ãã ãããã®äžã€ã®ä¿ã«ã¯ãã®ã¯ã©ã¹ä»¥å€ã®çåŸã¯åå ããŠããªããã®ãšããã
â ãã®ã¯ã©ã¹ã®çåŸã¯ãå¿
ãããã®ãã¡äžã€ä»¥äžã®ä¿ã«åå ããŠããããããå
šãŠã®ä¿ã«åå ããŠããè
ã¯ããªãã
â ä¿ãšïŒ¢ä¿ã®äž¡æ¹ã«åå ããŠããçåŸã®äººæ°ãä¿ãšïŒ£ä¿ã®äž¡æ¹ã«åå ããŠããçåŸã®äººæ°ãä¿ãšïŒ¡ä¿ã®äž¡æ¹ã«åå ããŠããçåŸã®äººæ°ã¯ãããããåãã§ããã
â ä¿ã®äººæ°ã¯ïŒ£ä¿ã®äººæ°ãã 7 人å€ããä¿ã®äººæ°ã¯ïŒ¡ä¿ã®äººæ°ãã 3 人å€ãã
â ä¿ãä¿ãä¿ã®åèšäººæ°ã¯ã34 人ã§ããã
Choice:
1ïŒïŒ¡ä¿ã ãã«åå ããŠããçåŸã¯ããªãã
2ïŒïŒ¡ä¿ãšïŒ£ä¿ã®åèšäººæ°ã¯ãä¿ã®äººæ°ãããå€ãã
3ïŒïŒ¡ä¿ãšïŒ¢ä¿ã®äž¡æ¹ã«åå ããŠããçåŸã®äººæ°ã¯ãä¿ã ãã«åå ããŠããçåŸã®äººæ°ãããå€ãã
4ïŒïŒ¢ä¿ã ãã«åå ããŠããçåŸã®äººæ°ã¯ãä¿ã«åå ããŠããªãçåŸã®äººæ°ãããå€ãã
5ïŒïŒ£ä¿ã«åå ããŠããçåŸã®ãã¡ 8 人ããä¿ãä¿ã®ããããã«åå ããŠããã | 3 |
ì¬ë¬Žì ë¬žêŽ êž°ìŽ | Question:
6 人ãããããååãšååŸã«åº§ã£ãäœçœ®ã«ã€ããŠæ¬¡ã®ããšãåãã£ãŠãããšãã確å®ã«ãããã®ã¯ã©ããã
Choice:
1ïŒååã«ãã¯ïŒ¡ã®é£ã«åº§ã£ãŠããã
2ïŒååŸã«ãåŸåã«ç©ºåžããã£ãã
3ïŒååŸã«ãã®é£ã«ç©ºåžããã£ãã
4ïŒååŸã«ãã¯ïŒ¢ã®é£ã«åº§ã£ãŠããã
5ïŒïŒŠã¯ãååãšååŸãåãåžã«åº§ã£ãŠããã | 4 |
ì¬ë¬Žì ë¬žêŽ êž°ìŽ | Question:
ããæ¬å±ã§ã¯ãã㮠4 人ã®åŠçãã¢ã«ãã€ããããŠãããããé±ã®æææ¥ããéææ¥ã® 5 æ¥éã®ïŒ¡ãã®å€åç¶æ³ã«ã€ããŠæ¬¡ã®ããšãåãã£ãŠãããšãã確å®ã«ãããã®ã¯ã©ããã
â æææ¥ãšæ°Žææ¥ã¯ãããã 2 人ãç«ææ¥ãšæšææ¥ã¯ãããã 1 人ãå€åããã
â 㯠3 æ¥å€åããããé£ç¶ããŠå€åããæ¥ã¯ãªãã£ãã
â 㯠2 æ¥éé£ç¶ããŠå€åãããããã以å€ã®å€åã¯ãªãã£ãã
â ãšïŒ€ã¯åãæ¥ã«å€åããªãã£ãã
â ã¯æ°Žææ¥ãšéææ¥ã«å€åãããã以å€ã« 1 æ¥å€åããããŸãã 2 æ¥éé£ç¶ããŠå€åãããã 3 æ¥éé£ç¶ããŠå€åããªãã£ãã
Choice:
1ïŒïŒ¡ãšïŒ€ã¯åãæ¥ã«å€åããªãã£ãã
2ïŒïŒ¢ã¯ç«ææ¥ã«å€åããã
3ïŒïŒ£ã¯ 1 æ¥ã ãå€åããã
4ïŒ2 æ¥ã ãå€åããåŠç㯠2 人ã ã£ãã
5ïŒéææ¥ã«å€åããåŠç㯠2 人ã ã£ãã | 2 |
ì¬ë¬Žì ë¬žêŽ êž°ìŽ | Question:
ãã¹ãã®çµæã«ã€ããŠã次ã®ããšãåãã£ãŠãããšãã確å®ã«ãããã®ã¯ã©ããã
Choice:
1ïŒïŒ¡ã¯å 5 ãæ£è§£ã ã£ãã
2ïŒïŒ¢ã¯å 6 ãäžæ£è§£ã ã£ãã
3ïŒïŒ£ãÃãšçããåé¡ã«ããå
šãŠÃãšçããã
4ïŒïŒ€ã®ç¹æ°ã¯ 3 ç¹ã§ãã£ãã
5ïŒïŒ¥ãÃãšçããåé¡ã¯ 3 é¡ã§ãã£ãã | 1 |
ì¬ë¬Žì ë¬žêŽ êž°ìŽ | Question:
第 3 éšã§ã®çã«ã€ããŠç¢ºå®ã«ãããã®ã¯ã©ããã
Choice:
1ïŒïŒ¢ãšïŒ§ã¯åãçã§ããã
2ïŒïŒ£ãšïŒ€ã¯åãçã§ããã
3ïŒïŒ€ãšïŒšã¯åãçã§ããã
4ïŒïŒ¥ãšïŒ©ã¯åãçã§ããã
5ïŒïŒŠãšïŒšã¯åãçã§ããã | 4 |
ì¬ë¬Žì ë¬žêŽ êž°ìŽ | Question:
å³â
ã®çŽæ¹äœã®äžéšãåãåã£ãŠã§ããç«äœããäºã€ã®ç¢å°ã§ç€ºãããã«æ£é¢åã³èé¢ããããããèŠããšãå³â
¡ã®ããã«èŠããããã®ãšãããã®ç«äœã®èŠåå³ãšããŠæã劥åœãªã®ã¯æ¬¡ã®ãã¡ã§ã¯ã©ããã
Choice:
1ïŒ
2ïŒ
3ïŒ
4ïŒ
5ïŒ | 4 |
ì¬ë¬Žì ë¬žêŽ êž°ìŽ | Question:
èµ€ã®ããŒã«ã 2 åãç·ã®ããŒã«ã 1 åæã£ãŠãããšãèµ€ã®ããŒã«ã 1 åãéã®ããŒã«ã 2 åæã£ãŠããããããããããŒã«ã 1 åãã€åºãåã£ãŠããã®è²ã§åã¡è² ãã決ããã
èµ€ã¯ç·ã«ãç·ã¯éã«ãéã¯èµ€ã«åã€ããšãšããããã®ãšãããåã€ç¢ºçã¯ããããã
ãã ããããŒã«ã¯ç¡äœçºã«åºãããšãšãã2 人ãšãåãè²ã®ããŒã«ãåºãããšãã¯ãæ®ãã®ããŒã«ãã 1 åãã€åºãåã£ãŠåè² ãç¶ããããšãšããã
ãŸãã1 ååè² ãä»ããæç¹ã§çµäºãããã®åŸããŒã«ãåºãåãããšã¯ãªããã®ãšããã
Choice:
1ïŒ1/3
2ïŒ4/9
3ïŒ5/9
4ïŒ2/3
5ïŒ7/9 | 3 |
ì¬ë¬Žì ë¬žêŽ êž°ìŽ | Question:
ãã®ãšãããã®å·ã®æµãã®éãã¯ããããã
Choice:
1ïŒåé 20 m
2ïŒåé 25 m
3ïŒåé 30 m
4ïŒåé 35 m
5ïŒåé 40 m | 1 |
ì¬ë¬Žì ë¬žêŽ êž°ìŽ | Question:
å³ã®ãããªçŽè§äžè§åœ¢ ABC ã®äžã€ã®é ç¹ãäžå¿ãšããŠçããååŸã®æ圢ãæãããšããæç·éšã®é¢ç©ã¯ããããã
ãªããé ç¹ A ãäžå¿ãšããæ圢ãšé ç¹ C ãäžå¿ãšããæ圢ã¯èŸº AC äžã§æ¥ããŠãããã®ãšããã
Choices:
1ïŒ\( \frac{6\pi}{2} \) cm²
2ïŒ\( \frac{6\pi}{2} \) cm²
3ïŒ\( \frac{6\pi}{2} \) cm²
4ïŒ\( \frac{4\pi}{9} \) cm²
5ïŒ\( \frac{9\pi}{4} \) cm² | 5 |
ì¬ë¬Žì ë¬žêŽ êž°ìŽ | Question:
ã㮠5 人ããããããæ倧 100 ç¹ç²åŸã§ããã²ãŒã ã«åå ããã5 人ã®åŸç¹ã«ã€ããŠæ¬¡ã®ããšãåãã£ãŠãããšããã®åŸç¹ããã®åŸç¹ãåŒããç¹ã¯äœç¹ãã
ãã ããåŸç¹ã¯æ£ã®æŽæ°ã§ããã
â ã®åŸç¹ã¯ãã®åŸç¹ã®ã¡ããã© **1/5** ã§ãã£ãã
â ã®åŸç¹ã¯ãã®åŸç¹ã®ã¡ããã© **3/8** ã§ãã£ãã
â ã®åŸç¹ã¯ãã®åŸç¹ã®ã¡ããã© **5/4** ã§ãã£ãã
â ã®åŸç¹ã¯ãããã®åŸç¹ã®åèšãã **11 ç¹** ãåŒãããã®ã®ã¡ããã© **1/3** ã§ãã£ãã
Choice:
1ïŒ 15 ç¹
2ïŒ 20 ç¹
3ïŒ 25 ç¹
4ïŒ 30 ç¹
5ïŒ 35 ç¹ | 1 |
ì¬ë¬Žì ë¬žêŽ êž°ìŽ | Question:
ãããã確å®ã«ãããããšãšããŠæã劥åœãªã®ã¯ã©ããã
Choice:
1ïŒ29 æ³ä»¥äžã«ã€ããŠãå»åž«ã®äººæ°ãè¬å€åž«ã®äººæ°ã® 70 ïŒ
ãäžåãã®ã¯ã調æ»å¹Žã§ã¯ 2008 幎ã®ã¿ã§ããã
2ïŒè¬å€åž«ã«ã€ããŠãå
šäœã®äººæ°ã«å ãã 30ã39 æ³ã®äººæ°ã®å²åã 30 ïŒ
ãäžåã£ãŠãã調æ»å¹Žãããã
3ïŒ2020 幎ã«ã€ããŠãå
šäœã®äººæ°ã«å ãã 60ã69 æ³ã®äººæ°ã®å²åã¯ãå»åž«ãšè¬å€åž«ã®ãããã 20 ïŒ
ãäžåã£ãŠããã
4ïŒå»åž«ã®äººæ°ã«ã€ããŠã2014 幎ã«å¯Ÿãã 2020 幎ã®å¢å çã 30 ïŒ
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Subsets and Splits