:HL["https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/237/image15-7gbWCjvbXsL35tJTmKWrGmKUrHUqt5.png","image"] :HL["https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/237/image16-mPrdY7jxqlyDoD5MkeAjVJ7edpQ6YH.png","image"] :HL["https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/237/image17-2McXTjyfqBGkxkTIc8Cep4wQ5ax9Tu.jpg","image"] 26:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{P}}

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

{\\mathrm{AP}}

"}}] 64:T6e0,

\displaystyle 2 \sqrt{3}

28:["$","span","p0-0-t0-m13",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$64"}}] 65:T6bc,

\displaystyle \sqrt{13}

29:["$","span","p0-0-t0-m15",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$65"}}] 66:T6bc,

\displaystyle \sqrt{14}

2a:["$","span","p0-0-t0-m17",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$66"}}] 67:T6bc,

\displaystyle \sqrt{15}

2b:["$","span","p0-0-t0-m19",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$67"}}] 2c:["$","span","p0-0-t0-m21",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

4

"}}] 68:T4c7,

y ^{2} = ax

2f:["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$68"}}] 69:T4c7,

y ^{2} = ax

30:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$69"}}] 31:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x

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

2

"}}] 6a:T506,

\displaystyle \frac{5}{2}

33:["$","span","p0-0-t0-m15",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$6a"}}] 34:["$","span","p0-0-t0-m17",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

3

"}}] 6b:T506,

\displaystyle \frac{7}{2}

35:["$","span","p0-0-t0-m19",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$6b"}}] 36:["$","span","p0-0-t0-m21",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

4

"}}] 6c:Tda1,

\left| \vec{\mathrm{BC}} \right| = 4

39:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$6c"}}] 6d:T1895,

\displaystyle \left| \vec{\mathrm{AB}} + \vec{\mathrm{AC}} \right| = 2 \sqrt{5}

3a:["$","span","p0-0-t0-m13",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$6d"}}] 6e:Tc76,

\left| \vec{\mathrm{BD}} \right|

3b:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$6e"}}] 3c:["$","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/237/image15-7gbWCjvbXsL35tJTmKWrGmKUrHUqt5.png","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"26cqw"}}]]}] 6f:T6bc,

\displaystyle \sqrt{10}

70:T6bc,

\displaystyle \sqrt{11}

3d:["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["① ",["$","span","p0-2-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$6f"}}],"\n② ",["$","span","p0-2-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$70"}}],"\n③ ","$L71","\n④ ","$L72","\n⑤ ","$L73",""]}] 3f:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

xy

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

25 \\pi

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

S

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

z

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

{\\mathrm{B}}

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

{\\mathrm{C}}

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

{\\mathrm{BC}}

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

{\\mathrm{O}}

"}}] 74:T6e3,

\displaystyle 2 \sqrt{46}

47:["$","span","p0-0-t0-m27",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$74"}}] 75:T6e0,

\displaystyle 8 \sqrt{3}

48:["$","span","p0-0-t0-m29",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$75"}}] 76:T6e3,

\displaystyle 10 \sqrt{2}

49:["$","span","p0-0-t0-m31",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$76"}}] 77:T6e3,

\displaystyle 4 \sqrt{13}

4a:["$","span","p0-0-t0-m33",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$77"}}] 78:T6e0,

\displaystyle 6 \sqrt{6}

4b:["$","span","p0-0-t0-m35",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$78"}}] 4d:["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

1

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

{\\mathrm{P}}

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

{\\mathrm{F}}

"}}] 79:T40b,

{\mathrm{PF} \mathit{'}}

50:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$79"}}] 51:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{Q}}

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

\\angle {\\mathrm{FQP}}

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

{\\mathrm{PF}}

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

{\\mathrm{R}}

"}}] 7a:T7c9,

\displaystyle 4 \overline{\mathrm{PR}} = 3 \overline{\mathrm{RF}}

55:["$","span","p0-0-t0-m23",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$7a"}}] 7b:T439,

{\mathrm{PF}' F}

56:["$","span","p0-0-t0-m25",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$7b"}}] 57:["$","span","p0-0-t0-m27",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{F}}

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

x

"}}] 7c:T76e,

\angle {\mathrm{F}' \mathrm{PF}} < 90 ^\circ

59:["$","span","p0-0-t0-m31",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$7c"}}] 5a:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":[["$","img","p0-1-i2",{"src":"https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/237/image16-mPrdY7jxqlyDoD5MkeAjVJ7edpQ6YH.png","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"33cqw"}}]]}] 5b:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{H}}

"}}] 5c:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{BCD}}

"}}] 5d:["$","span","p0-0-t0-m17",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{DH}}

"}}] 5e:["$","span","p0-0-t0-m19",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{BC}}

"}}] 5f:["$","span","p0-0-t0-m21",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{E}

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

{\\mathrm{E}}

"}}] 7d:T47e,

\angle {\mathrm{AEH}} = \angle {\mathrm{DAH}}

7e:T52f,

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

61:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["(가) ",["$","span","p0-1-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$7d"}}],"\n(나) 점 ",["$","span","p0-1-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{E}

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

{\\mathrm{CD}}

"}}],"를 지름으로 하는 원 위의 점이고\n",["$","span","p0-1-t0-m7",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$7e"}}],"이다."]}]

2021년-10월-고3-수학문제(기하)