:HL["https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/143/image10-HromosyY5ZIHs6APjX4m4X2ILfaffV.png","image"] :HL["https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/143/image13-j64Wl6VS6E63oUSTYvwECAQfFfJgFe.png","image"] :HL["https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/143/image14-q7HJcSf92w9xrhf0K7h00SIQ4y6pim.png","image"] 27:["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a

"}}] 70:T462,

a \neq 0

28:["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$70"}}] 29:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

1

"}}] 2a:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

2

"}}] 2b:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

3

"}}] 2c:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

4

"}}] 2d:["$","span","p0-0-t0-m17",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

5

"}}] 2f:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{BC}}

"}}] 30:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

10

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

12

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

14

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

16

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

18

"}}] 71:T453,

{\mathrm{ABCD}} - {\mathrm{EFGH}}

38:["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$71"}}] 39:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{A}}

"}}] 3a:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{FH}}

"}}] 3b:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":[["$","img","p0-1-i2",{"src":"https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/143/image10-HromosyY5ZIHs6APjX4m4X2ILfaffV.png","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"62cqw"}}]]}] 72:T6bc,

\displaystyle \sqrt{21}

73:T6bc,

\displaystyle \sqrt{22}

3c:["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["① ",["$","span","p0-2-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$72"}}],"\n② ",["$","span","p0-2-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$73"}}],"\n③ ","$L74","\n④ ","$L75","\n⑤ ","$L76",""]}] 77:Te53,

\displaystyle \frac{x ^{2}}{9} - \frac{y ^{2}}{16} = - 1

3e:["$","span","p0-0-t0-m5",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$77"}}] 3f:["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{P}}

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

2

"}}] 78:T450,

{\mathrm{PF}}' {\mathrm{F}}

41:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$78"}}] 42:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

30

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

{\\mathrm{P}}

"}}] 79:Ta42,

\displaystyle - \frac{7 \sqrt{3}}{9}

44:["$","span","p0-0-t0-m17",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$79"}}] 7a:Ta42,

\displaystyle - \frac{2 \sqrt{3}}{3}

45:["$","span","p0-0-t0-m19",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$7a"}}] 7b:Ta42,

\displaystyle - \frac{5 \sqrt{3}}{9}

46:["$","span","p0-0-t0-m21",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$7b"}}] 7c:Ta42,

\displaystyle - \frac{4 \sqrt{3}}{9}

47:["$","span","p0-0-t0-m23",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$7c"}}] 7d:Ta0e,

\displaystyle - \frac{\sqrt{3}}{3}

48:["$","span","p0-0-t0-m25",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$7d"}}] 4a:["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

S

"}}] 4b:["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{B}}

"}}] 7e:T54b,

\displaystyle {\overline{\mathrm{OC}}} = 4

4c:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["(가) 선분 ",["$","span","p0-1-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{OA}}

"}}]," 위의 ",["$","span","p0-1-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$7e"}}],"인 점 ",["$","span","p0-1-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{C}}

"}}],"에 대하여\n직선 ",["$","span","p0-1-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{BC}}

"}}],"와 ","$L7f","평면이 서로 평행하다.\n(나) 두 직선 ","$L80",", ","$L81","와 ","$L82","평면이 이루는 예각의 크기를\n각각 ","$L83",", ","$L84","라 하면 ","$L85","이다."]}] 4d:["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["삼각형 ",["$","span","p0-2-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{OAB}}

"}}],"의 ",["$","span","p0-2-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

xy

"}}],"평면 위로의 정사영이 직각삼각형일 때, 평면 ",["$","span","p0-2-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{OAB}}

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

xy

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

\\theta

"}}],"라 하자. ",["$","span","p0-2-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\cos \\theta

"}}],"의 값은? (단, ","$L86","는 원점이고, 점 ","$L87","의 ","$L88","좌표는 ","$L89","이 아닌 양수이다.)\n[4점]\n① ","$L8a","\n② ","$L8b","\n③ ","$L8c","\n④ ","$L8d","\n⑤ ","$L8e",""]}] 4e:["$","p","p0-3",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":[["$","img","p0-3-i2",{"src":"https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/143/image13-j64Wl6VS6E63oUSTYvwECAQfFfJgFe.png","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"60cqw"}}]]}] 51:["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{F}}

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

x

"}}] 8f:T405,

C _{1}

53:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$8f"}}] 54:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

1

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

{\\mathrm{P}}

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

{\\mathrm{PF}}'

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

x

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

{\\mathrm{Q}}

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

{\\mathrm{P}}

"}}] 5a:["$","span","p0-0-t0-m25",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{F}}

"}}] 5b:["$","span","p0-0-t0-m27",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{Q}}

"}}] 90:T405,

C _{2}

5c:["$","span","p0-0-t0-m29",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$90"}}] 91:T405,

C _{1}

5d:["$","span","p0-0-t0-m31",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$91"}}] 92:T405,

C _{2}

5e:["$","span","p0-0-t0-m33",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$92"}}] 5f:["$","span","p0-0-t0-m35",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x

"}}] 60:["$","span","p0-0-t0-m37",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{R}}

"}}] 93:T102e,

\displaystyle {\overline{{\mathrm{F}}' {\mathrm{R}}}} - {\overline{\mathrm{PR}}} = 7 \sqrt{2}

61:["$","span","p0-0-t0-m39",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$93"}}] 94:T405,

C _{1}

62:["$","span","p0-0-t0-m41",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$94"}}] 95:T405,

C _{2}

63:["$","span","p0-0-t0-m43",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$95"}}] 64:["$","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/143/image14-q7HJcSf92w9xrhf0K7h00SIQ4y6pim.png","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"64cqw"}}]]}] 96:T54e,

\displaystyle {\overline{\mathrm{BC}}} = 16

66:["$","span","p0-0-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$96"}}] 67:["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{ABC}}

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

{\\mathrm{AB}}

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

{\\mathrm{P}}

"}}] 6a:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{BC}}

"}}] 6b:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{Q}}

"}}] 6c:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{CA}}

"}}] 6d:["$","span","p0-0-t0-m17",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{R}}

"}}] 97:T28ae,

2025년-09월-고3-수학문제(기하)