:HL["https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/159/image7-YGf5krUiF3woMuLIqyBHDn6fMIPnyG.png","image"] 74:T531,

\displaystyle - \frac{1}{3}

25:["$","span","p0-0-t0-m5",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$74"}}] 75:T531,

\displaystyle - \frac{1}{2}

26:["$","span","p0-0-t0-m7",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$75"}}] 76:T531,

\displaystyle - \frac{2}{3}

27:["$","span","p0-0-t0-m9",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$76"}}] 77:T531,

\displaystyle - \frac{5}{6}

28:["$","span","p0-0-t0-m11",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$77"}}] 29:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

- 1

"}}] 2c:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

7

"}}] 78:Te6b,

\displaystyle \sum\limits _{n = 1} ^{\infty} \frac{1}{a _{n} b _{n}}

2d:["$","span","p0-0-t0-m11",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$78"}}] 79:T509,

\displaystyle \frac{1}{24}

2e:["$","span","p0-0-t0-m13",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$79"}}] 7a:T509,

\displaystyle \frac{1}{12}

2f:["$","span","p0-0-t0-m15",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$7a"}}] 7b:T506,

\displaystyle \frac{1}{8}

30:["$","span","p0-0-t0-m17",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$7b"}}] 7c:T506,

\displaystyle \frac{1}{6}

31:["$","span","p0-0-t0-m19",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$7c"}}] 7d:T509,

\displaystyle \frac{5}{24}

32:["$","span","p0-0-t0-m21",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$7d"}}] 35:["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{A}}

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

{\\mathrm{B}}

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

y = \\sin x

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

{\\mathrm{A}}

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

y = \\sin x

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

{\\mathrm{B}}

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

\\theta

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

\\tan \\theta

"}}] 7e:T506,

\displaystyle \frac{2}{3}

3d:["$","span","p0-0-t0-m21",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$7e"}}] 7f:T506,

\displaystyle \frac{5}{6}

3e:["$","span","p0-0-t0-m23",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$7f"}}] 3f:["$","span","p0-0-t0-m25",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

1

"}}] 80:T506,

\displaystyle \frac{7}{6}

40:["$","span","p0-0-t0-m27",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$80"}}] 81:T506,

\displaystyle \frac{4}{3}

41:["$","span","p0-0-t0-m29",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$81"}}] 43:["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{P}}

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

\\left( x , y \\right)

"}}] 82:T49d,

x = at + \tan t

45:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$82"}}] 83:T498,

y = 1 + \sec t

46:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$83"}}] 47:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{P}}

"}}] 84:T691,

\displaystyle t = \frac{3 \pi}{4}

48:["$","span","p0-0-t0-m15",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$84"}}] 49:["$","span","p0-0-t0-m17",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

t = \\pi

"}}] 4a:["$","span","p0-0-t0-m19",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a

"}}] 85:T531,

\displaystyle - \frac{5}{2}

4b:["$","span","p0-0-t0-m21",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$85"}}] 86:T531,

\displaystyle - \frac{3}{2}

4c:["$","span","p0-0-t0-m23",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$86"}}] 87:T531,

\displaystyle - \frac{1}{2}

4d:["$","span","p0-0-t0-m25",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$87"}}] 88:T506,

\displaystyle \frac{1}{2}

4e:["$","span","p0-0-t0-m27",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$88"}}] 89:T506,

\displaystyle \frac{3}{2}

4f:["$","span","p0-0-t0-m29",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$89"}}] 8a:T4db,

y = e ^{2 x}

51:["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$8a"}}] 52:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{P}}

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

{\\mathrm{Q}}

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

{\\mathrm{P}}

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

x

"}}] 8b:T4db,

y = e ^{2 x}

56:["$","span","p0-0-t0-m17",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$8b"}}] 57:["$","span","p0-0-t0-m19",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

y

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

f \\left( t \\right)

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

{\\mathrm{Q}}

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

x

"}}] 8c:T94a,

y = e ^{2 x} - e ^{- x} + 1

5b:["$","span","p0-0-t0-m27",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$8c"}}] 5c:["$","span","p0-0-t0-m29",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

y

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

g \\left( t \\right)

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

f \\left( t \\right)

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

g \\left( t \\right)

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

\\left( 0 , \\infty \\right)

"}}] 8d:T1123,

\displaystyle \lim\limits _{t \rightarrow 1} \frac{9 f' \left( t \right) - 4 g' \left( t \right)}{t - 1}

61:["$","span","p0-0-t0-m39",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$8d"}}] 62:["$","span","p0-0-t0-m41",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

1

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

3

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

5

"}}] 65:["$","span","p0-0-t0-m47",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

7

"}}] 66:["$","span","p0-0-t0-m49",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

9

"}}] 67:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":[["$","img","p0-1-i2",{"src":"https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/159/image7-YGf5krUiF3woMuLIqyBHDn6fMIPnyG.png","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"69cqw"}}]]}] 8e:T75c,

a _{4} = b _{2}

2026년-06월-고3-수학문제(미적분)