:HL["https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/241/image9-RagwXO9XGyvdOeONUAWKW13G1x8Oys.jpg","image"] :HL["https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/241/image12-0aL5LhIyzYsQZ2jsyyOv1C2eMpm8F0.jpg","image"] :HL["https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/241/image14-ZyQcGABwA0gbLM6YarQ2mDzJ1VuP9n.jpg","image"] 78:T6e0,

\displaystyle 4 \sqrt{6}

27:["$","span","p0-0-t0-m9",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$78"}}] 79:T6e0,

\displaystyle 4 \sqrt{7}

28:["$","span","p0-0-t0-m11",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$79"}}] 7a:T6e0,

\displaystyle 8 \sqrt{2}

29:["$","span","p0-0-t0-m13",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$7a"}}] 2a:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

12

"}}] 7b:T6e3,

\displaystyle 4 \sqrt{10}

2b:["$","span","p0-0-t0-m17",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$7b"}}] 2d:["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x

"}}] 2e:["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

y

"}}] 7c:T509,

\displaystyle \frac{19}{4}

2f:["$","span","p0-0-t0-m7",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$7c"}}] 7d:T509,

\displaystyle \frac{21}{4}

30:["$","span","p0-0-t0-m9",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$7d"}}] 7e:T509,

\displaystyle \frac{23}{4}

31:["$","span","p0-0-t0-m11",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$7e"}}] 7f:T509,

\displaystyle \frac{25}{4}

32:["$","span","p0-0-t0-m13",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$7f"}}] 80:T509,

\displaystyle \frac{27}{4}

33:["$","span","p0-0-t0-m15",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$80"}}] 35:["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

1

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

\\mathrm{P}

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

{\\mathrm{PF}}

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

\\mathrm{PF}'

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

\\mathrm{F} F'

"}}] 3a:["$","span","p0-0-t0-m17",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{P}

"}}] 3b:["$","span","p0-0-t0-m19",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x

"}}] 3c:["$","span","p0-0-t0-m21",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{F}

"}}] 3d:["$","span","p0-0-t0-m23",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x

"}}] 3e:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":[["$","img","p0-1-i2",{"src":"https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/241/image9-RagwXO9XGyvdOeONUAWKW13G1x8Oys.jpg","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"32cqw"}}]]}] 81:T506,

\displaystyle \frac{9}{8}

82:T506,

\displaystyle \frac{5}{4}

3f:["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["① ",["$","span","p0-2-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

1

"}}],"\n② ",["$","span","p0-2-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$81"}}],"\n③ ",["$","span","p0-2-t0-m5",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$82"}}],"\n④ ","$L83","\n⑤ ","$L84",""]}] 41:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{P}

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

\\mathrm{H}

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

\\mathrm{FH}

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

\\mathrm{Q}

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

\\mathrm{Q}

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

p

"}}] 85:Ta17,

\displaystyle \frac{8 \sqrt{3}}{3}

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

\\mathrm{Q}

"}}],"는 선분 ",["$","span","p0-1-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{FH}

"}}],"를 ",["$","span","p0-1-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

1 : 2

"}}],"로 내분한다.\n(나) 삼각형 ",["$","span","p0-1-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{PQF}

"}}],"의 넓이는 ",["$","span","p0-1-t0-m9",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$85"}}],"이다."]}] 86:T6b9,

\displaystyle \sqrt{2}

87:T6b9,

\displaystyle \sqrt{3}

48:["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["① ",["$","span","p0-2-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$86"}}],"\n② ",["$","span","p0-2-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$87"}}],"\n③ ","$L88","\n④ ","$L89","\n⑤ ","$L8a",""]}] 4a:["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{F}

"}}] 4b:["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{F}'

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

\\mathrm{FF}'

"}}] 4d:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

C

"}}] 4e:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

C

"}}] 4f:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

1

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

\\mathrm{P}

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

C

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

y

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

y

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

\\mathrm{Q}

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

\\mathrm{F}' P

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

\\mathrm{QF}

"}}] 57:["$","span","p0-0-t0-m29",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\theta

"}}] 8b:T6c9,

\displaystyle \cos \theta = \frac{3}{5}

58:["$","span","p0-0-t0-m31",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$8b"}}] 8c:T86c,

\displaystyle \frac{b ^{2}}{a ^{2}}

59:["$","span","p0-0-t0-m33",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$8c"}}] 5a:["$","span","p0-0-t0-m35",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a

"}}] 5b:["$","span","p0-0-t0-m37",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

b

"}}] 8d:T418,

a > b > 0

5c:["$","span","p0-0-t0-m39",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$8d"}}] 5d:["$","span","p0-0-t0-m41",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{F}

"}}] 5e:["$","span","p0-0-t0-m43",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x

"}}] 5f:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":[["$","img","p0-1-i2",{"src":"https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/241/image12-0aL5LhIyzYsQZ2jsyyOv1C2eMpm8F0.jpg","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"32cqw"}}]]}] 8e:T50c,

\displaystyle \frac{11}{64}

8f:T509,

\displaystyle \frac{3}{16}

90:T50c,

\displaystyle \frac{13}{64}

60:["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["① ",["$","span","p0-2-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$8e"}}],"\n② ",["$","span","p0-2-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$8f"}}],"\n③ ",["$","span","p0-2-t0-m5",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$90"}}],"\n④ ","$L91","\n⑤ ","$L92",""]}] 62:["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{A}

"}}] 93:T97a,

\displaystyle \overline{\mathrm{AF}} < \overline{\mathrm{AF}'}

63:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["(가) ",["$","span","p0-1-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$93"}}],"\n(나) 선분 ",["$","span","p0-1-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{AF}

"}}],"의 수직이등분선은 점 ",["$","span","p0-1-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{F}'

"}}],"을 지난다."]}] 64:["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["선분 ",["$","span","p0-2-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{AF}

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

\\mathrm{M}

"}}],"에 대하여 직선 ",["$","span","p0-2-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{MF}'

"}}],"과 쌍곡선의 교점 중 점 ",["$","span","p0-2-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{A}

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

\\mathrm{B}

"}}],"라 할 때, 삼각형 ",["$","span","p0-2-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{BFM}

"}}],"의 둘레의 길이는 ","$L94","이다. ","$L95","의 값을 구하시오. [4점]"]}]

2022년-03월-고3-수학문제(기하)