\displaystyle \frac{\ln 2}{6}

83:["$","span","p0-0-t0-m9",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$12d"}}] 12e:T584,

\displaystyle \frac{\ln 2}{3}

84:["$","span","p0-0-t0-m11",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$12e"}}] 12f:T584,

\displaystyle \frac{\ln 2}{2}

85:["$","span","p0-0-t0-m13",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$12f"}}] 130:T584,

\displaystyle \frac{\ln 3}{3}

86:["$","span","p0-0-t0-m15",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$130"}}] 131:T584,

\displaystyle \frac{\ln 3}{2}

87:["$","span","p0-0-t0-m17",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$131"}}] 88:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

2 ^{19}

"}}] 89:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

2 ^{20}

"}}] 8a:["$","span","p0-0-t0-m17",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

2 ^{21}

"}}] 8b:["$","span","p0-0-t0-m19",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

2 ^{22}

"}}] 8d:["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

1

"}}] 8e:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{P}

"}}] 132:T725,

\displaystyle \angle \mathrm{APB} = \frac{\pi}{2}

8f:["$","span","p0-0-t0-m11",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$132"}}] 90:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{AP}

"}}] 133:T7db,

\displaystyle \sqrt{7} - 2

91:["$","span","p0-0-t0-m15",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$133"}}] 134:T7db,

\displaystyle \sqrt{7} - 1

92:["$","span","p0-0-t0-m17",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$134"}}] 135:T802,

\displaystyle 2 \sqrt{2} - 1

93:["$","span","p0-0-t0-m19",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$135"}}] 136:T6b9,

\displaystyle \sqrt{7}

94:["$","span","p0-0-t0-m21",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$136"}}] 137:T6e0,

\displaystyle 2 \sqrt{2}

95:["$","span","p0-0-t0-m23",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$137"}}] 138:T65d,

\displaystyle x = \frac{\pi}{2}

98:["$","span","p0-0-t0-m5",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$138"}}] 99:["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x = \\pi

"}}] 139:T607,

\displaystyle \frac{1}{4} \ln \pi

9a:["$","span","p0-0-t0-m9",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$139"}}] 13a:T607,

\displaystyle \frac{1}{2} \ln \pi

9b:["$","span","p0-0-t0-m11",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$13a"}}] 13b:T607,

\displaystyle \frac{3}{4} \ln \pi

9c:["$","span","p0-0-t0-m13",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$13b"}}] 9d:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\ln \\pi

"}}] 13c:T607,

\displaystyle \frac{5}{4} \ln \pi

9e:["$","span","p0-0-t0-m17",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$13c"}}] 9f:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":[["$","img","p0-1-i2",{"src":"https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/192/overlay-4165-image4-FPaiAXULazEzkAkiwBZzROcNJvTsiW.png","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"70cqw"}}]]}] a0:["$","span","p0-1-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{C}

"}}] a1:["$","span","p0-1-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

6

"}}] a2:["$","span","p0-1-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

6

"}}] a3:["$","span","p0-1-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

1

"}}] a4:["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["흰 공을 넣은 주머니의 개수를 ",["$","span","p0-2-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

n

"}}],"이라 하면\n(ⅰ) ",["$","span","p0-2-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

n = 3

"}}],"일 때 세 주머니 ",["$","span","p0-2-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{A}

"}}],", ",["$","span","p0-2-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{B}

"}}],", ",["$","span","p0-2-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{C}

"}}],"에 흰 공을 각각 ",["$","span","p0-2-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

1

"}}],"개 이상 나누어 넣은 후, 검은 공을 나누어 넣는 경우이므로 이 경우의 수는 ","$L13d","이다.\n(ⅱ) ","$L13e","일 때 세 주머니 ","$L13f",", ","$L140",", ","$L141"," 중 ","$L142","개의 주머니에 흰 공을 각각 ","$L143","개 이상 나누어 넣은 후, 검은 공을 나누어 넣는 경우이므로 이 경우의 수는 ","$L144","이다.\n(ⅲ) ","$L145","일 때 세 주머니 ","$L146",", ","$L147",", ","$L148"," 중 ","$L149","개의 주머니에 흰 공을 넣은 후, 검은 공을 나누어 넣는 경우이므로 이 경우의 수는 ","$L14a","이다."]}] 14b:T183f,

{} _{3} \mathrm{H} _{3} \times \left. {\square {( \text{가} ) _{} ^{}}} \right. + \left. {\square {( \text{나} ) _{} ^{}}} \right. + \left. {\square {( \text{다} ) _{} ^{}}} \right.

a5:["$","p","p0-3",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["따라서 (ⅰ), (ⅱ), (ⅲ)에 의하여 구하는 경우의 수는\n",["$","span","p0-3-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$14b"}}],"이다."]}] 14c:T44f,

p + q + r

a6:["$","p","p0-4",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["위의 (가), (나), (다)에 알맞은 수를 각각 ",["$","span","p0-4-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

p

"}}],", ",["$","span","p0-4-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

q

"}}],", ",["$","span","p0-4-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

r

"}}],"라 할 때,\n",["$","span","p0-4-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$14c"}}],"의 값은? [4점]"]}] a7:["$","p","p0-5",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["① ",["$","span","p0-5-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

374

"}}],"\n② ",["$","span","p0-5-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

381

"}}],"\n③ ",["$","span","p0-5-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

388

"}}],"\n④ ",["$","span","p0-5-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

395

"}}],"\n⑤ ",["$","span","p0-5-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

402

"}}],""]}] 14d:T41f,

\mathrm{P} \left( \mathit{a} , \sin a \right)

aa:["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$14d"}}] 14e:T7ff,

\displaystyle \left( 0 < a < \frac{\pi}{2} \right)

ab:["$","span","p0-0-t0-m7",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$14e"}}] ac:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

l

"}}] 14f:T464,

y = f \left( x \right)

ad:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$14f"}}] ae:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x

"}}] af:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

l

"}}] 150:T464,

y = f \left( x \right)

b0:["$","span","p0-0-t0-m17",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$150"}}] b1:["$","span","p0-0-t0-m19",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x

"}}] b2:["$","span","p0-0-t0-m21",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x = a

"}}] b3:["$","span","p0-0-t0-m23",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\cos a

"}}] 151:T506,

\displaystyle \frac{1}{6}

b4:["$","span","p0-0-t0-m25",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$151"}}] 152:T506,

\displaystyle \frac{1}{3}

2019년-04월-고3-수리(가형)