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頻出問題

ランク	トピック	問題	フォーマット化された問題
49501	頂点を求める	x=1/12y^2	$x = \frac{1}{12} y^{2}$
49502	頂点を求める	y=-x^2+12x-1	$y = - x^{2} + 12 x - 1$
49503	頂点を求める	y^2+2y=-x-5	$y^{2} + 2 y = - x - 5$
49504	頂点を求める	y=x^2+4x-3	$y = x^{2} + 4 x - 3$
49505	三角形の展開	theta=300度	$θ = 300 °$
49506	三角形の展開	theta=-(3pi)/4	$θ = - \frac{3 π}{4}$
49507	三角形の展開	theta=225度	$θ = 225 °$
49508	ｘ切片とｙ切片を求める	y=(1/4)^x	$y = {(\frac{1}{4})}^{x}$
49509	ｘ切片とｙ切片を求める	y=(4x^2-100)/(2x^2+x-15)	$y = \frac{4 x^{2} - 100}{2 x^{2} + x - 15}$
49510	ｘ切片とｙ切片を求める	y=(6-3x)/(x^2-5x+6)	$y = \frac{6 - 3 x}{x^{2} - 5 x + 6}$
49511	ｘ切片とｙ切片を求める	y=cos(theta)	$y = \cos (θ)$
49512	ｘ切片とｙ切片を求める	y=-2x^2-2x+4	$y = - 2 x^{2} - 2 x + 4$
49513	ｘ切片とｙ切片を求める	y=2(x+3)^2+10	$y = 2 {(x + 3)}^{2} + 10$
49514	ｘ切片とｙ切片を求める	y=csc(x)	$y = \csc (x)$
49515	ｘ切片とｙ切片を求める	t=(7pi)/4	$t = \frac{7 π}{4}$
49516	ｘ切片とｙ切片を求める	r=8sin(theta)	$r = 8 \sin (θ)$
49517	ｘ切片とｙ切片を求める	r=7	$r = 7$
49518	次項を求める	3 , 7.5 , 18.75 , 46.875 , 117.1875 , 292.96875 , 732.421875 , 1831.0546875 , 4577.63671875	$3$ , $7.5$ , $18.75$ , $46.875$ , $117.1875$ , $292.96875$ , $732.421875$ , $1831.0546875$ , $4577.63671875$
49519	ｘ切片とｙ切片を求める	y=x^2-8x-16	$y = x^{2} - 8 x - 16$
49520	ｘ切片とｙ切片を求める	y=5cos(x)	$y = 5 \cos (x)$
49521	ｘ切片とｙ切片を求める	y=-x^2+12x-1	$y = - x^{2} + 12 x - 1$
49522	区間において解く	3csc(theta)-2=0[0,2pi)の平方根	$\sqrt{3} \csc (θ) - 2 = 0 [0, 2 π)$
49523	区間において解く	sec(theta)-1=0 , [0,2pi)	$\sec (θ) - 1 = 0$ , $[0, 2 π)$
49524	中心を求める	((x-3)^2)/4+((y+1)^2)/9=1	$\frac{{(x - 3)}^{2}}{4} + \frac{{(y + 1)}^{2}}{9} = 1$
49525	区間において解く	2sin(theta)^2-3sin(theta)+1=0 , [0,2pi)	$2 \sin^{2} (θ) - 3 \sin (θ) + 1 = 0$ , $[0, 2 π)$
49526	区間において解く	cos(2theta)+cos(theta)=0 , 0<=theta<=360	$\cos (2 θ) + \cos (θ) = 0$ , $0 \leq θ \leq 360$
49527	区間において解く	sin(4x)cos(x)-sin(x)cos(4x)=-( 2)/2 , [0,2pi)の平方根	$\sin (4 x) \cos (x) - \sin (x) \cos (4 x) = - \frac{\sqrt{2}}{2}$ , $[0, 2 π)$
49528	Convert to Rectangular	x=t^2 , y=2t	$x = t^{2}$ , $y = 2 t$
49529	根 (ゼロ) を求める	32(cos(pi/3)+isin(pi/3))	$32 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3}))$
49530	根 (ゼロ) を求める	(x^2+x-6)/(x^2-x-6)	$\frac{x^{2} + x - 6}{x^{2} - x - 6}$
49531	根 (ゼロ) を求める	8(cos((4pi)/5)+isin((4pi)/5))	$8 (\cos (\frac{4 π}{5}) + i \sin (\frac{4 π}{5}))$
49532	三角形の展開	tri{}{60}{10}{}{9}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 10 \\ a = & 9 \end{matrix} & \begin{matrix} A = & 60 \\ B = \\ C = \end{matrix} \end{matrix}$
49533	三角形の展開	tri{}{60}{6}{30}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 6 \\ a = \end{matrix} & \begin{matrix} A = & 60 \\ B = & 30 \\ C = & 90 \end{matrix} \end{matrix}$
49534	三角形の展開	tri{10}{}{}{}{10}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 10 \\ c = \\ a = & 10 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49535	三角形の展開	tri{1}{}{1}{}{1}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 1 \\ c = & 1 \\ a = & 1 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49536	三角形の展開	tri{1020}{}{740}{}{840}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 1020 \\ c = & 740 \\ a = & 840 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49537	三角形の展開	tri{12}{}{}{}{16}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 12 \\ c = \\ a = & 16 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49538	三角形の展開	tri{11}{}{11}{}{9}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 11 \\ c = & 11 \\ a = & 9 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49539	三角形の展開	tri{10}{}{14}{}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 10 \\ c = & 14 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49540	三角形の展開	tri{10}{}{}{}{4}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 10 \\ c = \\ a = & 4 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49541	三角形の展開	tri{10}{}{}{}{5}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 10 \\ c = \\ a = & 5 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49542	三角形の展開	tri{}{45}{}{45}{8}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = \\ a = & 8 \end{matrix} & \begin{matrix} A = & 45 \\ B = & 45 \\ C = & 90 \end{matrix} \end{matrix}$
49543	三角形の展開	tri{}{35}{5}{}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 5 \\ a = \end{matrix} & \begin{matrix} A = & 35 \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49544	三角形の展開	tri{}{}{9}{}{6}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 9 \\ a = & 6 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49545	三角形の展開	tri()(30)()(60)(3 3)(90)の平方根	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = \\ a = & 3 \sqrt{3} \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
49546	三角形の展開	tri{}{30}{10}{}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 10 \\ a = \end{matrix} & \begin{matrix} A = & 30 \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49547	三角形の展開	tri{}{30}{1}{60}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 1 \\ a = \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
49548	三角形の展開	tri{}{30}{12}{}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 12 \\ a = \end{matrix} & \begin{matrix} A = & 30 \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49549	三角形の展開	tri{}{}{8}{}{4}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 8 \\ a = & 4 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49550	三角形の展開	tri{}{}{6}{}{3}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 6 \\ a = & 3 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49551	三角形の展開	tri{}{}{6}{}{4}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 6 \\ a = & 4 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49552	三角形の展開	tri{}{}{26.4}{35}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 26.4 \\ a = \end{matrix} & \begin{matrix} A = \\ B = & 35 \\ C = & 90 \end{matrix} \end{matrix}$
49553	三角形の展開	tri{}{}{26}{60}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 26 \\ a = \end{matrix} & \begin{matrix} A = \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
49554	三角形の展開	tri{}{}{27}{54}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 27 \\ a = \end{matrix} & \begin{matrix} A = \\ B = & 54 \\ C = & 90 \end{matrix} \end{matrix}$
49555	部分分数分解を用いて分割する	(13x+2)/((3x+1)^2)	$\frac{13 x + 2}{{(3 x + 1)}^{2}}$
49556	部分分数分解を用いて分割する	(4x^2-32x+72)÷((x+1)(x-5)^2)	$(4 x^{2} - 32 x + 72) \div ((x + 1) {(x - 5)}^{2})$
49557	代入による解法	3x+y=5x^2-4y=-40	$3 x + y = 5 x^{2} - 4 y = - 40$
49558	代入による解法	x+y=180 ; x=1/4y-24	$x + y = 180$ ; $x = \frac{1}{4} y - 24$
49559	三角形の展開	tri{}{}{17}{44}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 17 \\ a = \end{matrix} & \begin{matrix} A = \\ B = & 44 \\ C = & 90 \end{matrix} \end{matrix}$
49560	三角形の展開	tri{}{}{13}{}{7}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 13 \\ a = & 7 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49561	三角形の展開	tri{}{}{15}{}{9}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 15 \\ a = & 9 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49562	三角形の展開	tri()()(16)(67度)()(90度)	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 16 \\ a = \end{matrix} & \begin{matrix} A = \\ B = & 67 \\ C = & 90 \end{matrix} \end{matrix}$
49563	三角形の展開	tri{}{}{12}{}{5}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 12 \\ a = & 5 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49564	三角形の展開	tri{}{}{}{40}{8}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = \\ a = & 8 \end{matrix} & \begin{matrix} A = \\ B = & 40 \\ C = & 90 \end{matrix} \end{matrix}$
49565	三角形の展開	tri{}{}{10}{}{5}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 10 \\ a = & 5 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49566	三角形の展開	tri{}{}{11}{}{6}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 11 \\ a = & 6 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49567	三角形の展開	tri{}{}{12}{}{}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 12 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49568	三角形の展開	tri{5.6}{}{10.6}{}{}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 5.6 \\ c = & 10.6 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49569	三角形の展開	tri{40}{}{41}{}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 40 \\ c = & 41 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49570	三角形の展開	tri{5}{}{12}{}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 5 \\ c = & 12 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49571	三角形の展開	tri{5}{}{}{65}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 5 \\ c = \\ a = \end{matrix} & \begin{matrix} A = \\ B = & 65 \\ C = & 90 \end{matrix} \end{matrix}$
49572	三角形の展開	tri{5}{}{}{}{5}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 5 \\ c = \\ a = & 5 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49573	三角形の展開	tri{5}{}{}{}{5}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 5 \\ c = \\ a = & 5 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49574	三角形の展開	tri{6}{}{10}{}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 6 \\ c = & 10 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49575	三角形の展開	tri{7}{}{}{}{6}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 7 \\ c = \\ a = & 6 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49576	三角形の展開	tri{8}{}{15}{}{17}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 8 \\ c = & 15 \\ a = & 17 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49577	三角形の展開	tri{7}{}{}{45}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 7 \\ c = \\ a = \end{matrix} & \begin{matrix} A = \\ B = & 45 \\ C = & 90 \end{matrix} \end{matrix}$
49578	三角形の展開	tri{7}{}{10}{}{}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 7 \\ c = & 10 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49579	三角形の展開	tri{7}{}{10}{}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 7 \\ c = & 10 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49580	三角形の展開	tri{6}{}{8}{}{7}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 6 \\ c = & 8 \\ a = & 7 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49581	三角形の展開	tri{6}{}{8}{}{}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 6 \\ c = & 8 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49582	三角形の展開	tri{20}{}{}{}{21}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 20 \\ c = \\ a = & 21 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49583	三角形の展開	tri{2}{30}{}{60}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 2 \\ c = \\ a = \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
49584	三角形の展開	tri{2}{}{}{}{3}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 2 \\ c = \\ a = & 3 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49585	三角形の展開	tri{15}{}{39}{}{36}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 15 \\ c = & 39 \\ a = & 36 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49586	三角形の展開	tri{15}{30}{}{60}{}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 15 \\ c = \\ a = \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
49587	三角形の展開	tri{18}{}{}{}{24}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 18 \\ c = \\ a = & 24 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49588	三角形の展開	tri{16}{}{20}{}{12}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 16 \\ c = & 20 \\ a = & 12 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49589	三角形の展開	tri{12}{}{20}{}{}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 12 \\ c = & 20 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49590	三角形の展開	tri{12}{}{37}{}{35}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 12 \\ c = & 37 \\ a = & 35 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49591	三角形の展開	tri{15}{}{}{}{20}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 15 \\ c = \\ a = & 20 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49592	三角形の展開	tri{12}{}{}{44}{23}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 12 \\ c = \\ a = & 23 \end{matrix} & \begin{matrix} A = \\ B = & 44 \\ C = \end{matrix} \end{matrix}$
49593	三角形の展開	tri(12)()()()(5)(90度)	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 12 \\ c = \\ a = & 5 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49594	三角形の展開	tri{23}{}{}{105}{14}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 23 \\ c = \\ a = & 14 \end{matrix} & \begin{matrix} A = \\ B = & 105 \\ C = \end{matrix} \end{matrix}$
49595	三角形の展開	tri{234}{52}{}{}{178}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 234 \\ c = \\ a = & 178 \end{matrix} & \begin{matrix} A = & 52 \\ B = \\ C = \end{matrix} \end{matrix}$
49596	三角形の展開	tri{24}{}{26}{}{}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 24 \\ c = & 26 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49597	三角形の展開	tri{3}{}{}{}{3}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 3 \\ c = \\ a = & 3 \end{matrix} & \begin{matrix} A = \\ B = \\ C = & 90 \end{matrix} \end{matrix}$
49598	三角形の展開	tri{28}{}{35}{}{21}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 28 \\ c = & 35 \\ a = & 21 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
49599	三角形の展開	tri(4 3)(30)()(60)()(90)の平方根	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 4 \sqrt{3} \\ c = \\ a = \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
49600	三角形の展開	tri{4}{}{4}{}{2}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 4 \\ c = & 4 \\ a = & 2 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$