:HL["https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/158/image6-FlMfow9tMK0mYeEMTHZtvnyy0xIrLp.png","image"] :HL["https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/158/image11-wPMsaUDBCupzREAvIaYcNXTO7JvJVH.png","image"] :HL["https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/158/image14-4uHAbmB8LN9MXenb1pkTri5O5OLCeZ.png","image"] 28:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

- 4

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

- 3

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

- 2

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

- 1

"}}] 78:T405,

l _{1}

2e:["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$78"}}] 79:T405,

l _{2}

2f:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$79"}}] 30:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\theta

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

\\cos \\theta

"}}] 7a:T9e3,

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

32:["$","span","p0-0-t0-m15",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$7a"}}] 7b:Ta1a,

\displaystyle \frac{5 \sqrt{2}}{12}

33:["$","span","p0-0-t0-m17",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$7b"}}] 7c:T9e3,

\displaystyle \frac{\sqrt{2}}{2}

34:["$","span","p0-0-t0-m19",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$7c"}}] 7d:Ta1a,

\displaystyle \frac{7 \sqrt{2}}{12}

35:["$","span","p0-0-t0-m21",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$7d"}}] 7e:Ta17,

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

36:["$","span","p0-0-t0-m23",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$7e"}}] 38:["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\left( a , 2 \\right)

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

x

"}}] 3a:["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a

"}}] 3b:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

6

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

7

"}}] 3d:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

8

"}}] 3e:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

9

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

10

"}}] 7f:Tc1a,

{\vec{\mathrm{OB}}} = {\vec{b}}

41:["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$7f"}}] 80:Tc13,

{\vec{\mathrm{OC}}} = {\vec{c}}

42:["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$80"}}] 81:T819,

\left| {\vec{a}} \right| = 6

43:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$81"}}] 82:Td5b,

\left| {\vec{b}} \right| = 4

44:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$82"}}] 83:Tbce,

{\vec{b}} - {\vec{c}}

45:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$83"}}] 84:Tbfc,

{\vec{b}} + t {\vec{c}}

46:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$84"}}] 47:["$","span","p0-0-t0-m17",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

t

"}}] 85:T509,

\displaystyle \frac{5}{21}

48:["$","span","p0-0-t0-m19",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$85"}}] 86:T506,

\displaystyle \frac{2}{7}

49:["$","span","p0-0-t0-m21",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$86"}}] 87:T506,

\displaystyle \frac{1}{3}

4a:["$","span","p0-0-t0-m23",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$87"}}] 88:T509,

\displaystyle \frac{8}{21}

4b:["$","span","p0-0-t0-m25",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$88"}}] 89:T506,

\displaystyle \frac{3}{7}

4c:["$","span","p0-0-t0-m27",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$89"}}] 4d:["$","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/158/image6-FlMfow9tMK0mYeEMTHZtvnyy0xIrLp.png","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"77cqw"}}]]}] 8a:T405,

C _{1}

50:["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$8a"}}] 51:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x

"}}] 8b:T5f5,

{\mathrm{A}} \left( - a , 0 \right) \left( a > 0 \right)

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

{\\mathrm{F}}

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

{\\mathrm{A}}

"}}] 8c:T405,

C _{2}

55:["$","span","p0-0-t0-m17",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$8c"}}] 56:["$","span","p0-0-t0-m19",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

l

"}}] 8d:T405,

C _{1}

57:["$","span","p0-0-t0-m21",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$8d"}}] 8e:T405,

C _{2}

58:["$","span","p0-0-t0-m23",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$8e"}}] 59:["$","span","p0-0-t0-m25",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

1

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

y

"}}] 8f:T405,

C _{1}

5b:["$","span","p0-0-t0-m29",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$8f"}}] 5c:["$","span","p0-0-t0-m31",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

l

"}}] 5d:["$","span","p0-0-t0-m33",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

2

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

y

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

a ^{2}

"}}] 90:T53c,

\displaystyle \frac{q}{p}

60:["$","span","p0-0-t0-m39",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$90"}}] 61:["$","span","p0-0-t0-m41",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

p + q

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

p

"}}] 63:["$","span","p0-0-t0-m45",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

q

"}}] 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/158/image11-wPMsaUDBCupzREAvIaYcNXTO7JvJVH.png","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"69cqw"}}]]}] 67:["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{A}}

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

{\\mathrm{B}}

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

{\\mathrm{C}}

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

{\\mathrm{AB}}

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

{\\mathrm{D}}

"}}] 91:T18a8,

{\vec{\mathrm{BA}}} \bullet {\vec{\mathrm{BC}}} = {\vec{\mathrm{CB}}} \bullet {\vec{\mathrm{CD}}}

6c:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$91"}}] 92:T18cf,

2 {\vec{\mathrm{AC}}} \bullet {\vec{\mathrm{AD}}} = {\vec{\mathrm{DA}}} \bullet {\vec{\mathrm{DB}}}

6d:["$","span","p0-0-t0-m17",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$92"}}] 6e:["$","span","p0-0-t0-m19",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{AB}}

"}}] 6f:["$","span","p0-0-t0-m21",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{X}}

"}}] 93:Tc86,

{\vec{\mathrm{DX}}} \bullet {\vec{\mathrm{BC}}}

70:["$","span","p0-0-t0-m23",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$93"}}] 71:["$","span","p0-0-t0-m25",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

M

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

m

"}}] 94:T84c,

\displaystyle \left| M \times m \right| = \frac{q}{p}

73:["$","span","p0-0-t0-m29",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$94"}}] 74:["$","span","p0-0-t0-m31",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

p + q

"}}] 75:["$","span","p0-0-t0-m33",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

p

"}}] 76:["$","span","p0-0-t0-m35",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

q

"}}] 77:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":[["$","img","p0-1-i2",{"src":"https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/158/image14-4uHAbmB8LN9MXenb1pkTri5O5OLCeZ.png","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"75cqw"}}]]}]

2026년-06월-고3-수학문제(기하)