y = 1 - 2 ^{- x}

8c:["$","span","p0-0-t0-m25",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$ef"}}] 8d:["$","span","p0-0-t0-m27",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{D}}

"}}] f0:T7da,

\displaystyle \overline{{\mathrm{AB}}} = 2 \overline{{\mathrm{CD}}}

8e:["$","span","p0-0-t0-m29",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$f0"}}] 8f:["$","span","p0-0-t0-m31",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{ABCD}}

"}}] 90:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":[["$","img","p0-1-i2",{"src":"https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/110/image3-BNOmMhj2ac8AIqUtA3VMvmzqNJ9oUP.png","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"79cqw"}}]]}] f1:Tca6,

\displaystyle \frac{5}{2} \log _{2} 3 - \frac{5}{4}

91:["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["① ",["$","span","p0-2-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$f1"}}],"\n② ","$Lf2","\n③ ","$Lf3","\n④ ","$Lf4","\n⑤ ","$Lf5",""]}] f6:T456,

y = m x + 2

93:["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$f6"}}] 94:["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

y

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

A

"}}] f7:Tcd1,

\displaystyle y = \frac{1}{4} x ^{3} + \frac{1}{2} x

96:["$","span","p0-0-t0-m9",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$f7"}}] f8:T456,

y = m x + 2

97:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$f8"}}] 98:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x = 2

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

B

"}}] f9:T794,

\displaystyle B - A = \frac{2}{3}

9a:["$","span","p0-0-t0-m17",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$f9"}}] 9b:["$","span","p0-0-t0-m19",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

m

"}}] 9c:["$","span","p0-0-t0-m21",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

m < \\mathit{-} 1

"}}] fa:T531,

\displaystyle - \frac{3}{2}

9d:["$","span","p0-0-t0-m23",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$fa"}}] fb:T537,

\displaystyle - \frac{17}{12}

9e:["$","span","p0-0-t0-m25",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$fb"}}] fc:T531,

\displaystyle - \frac{4}{3}

9f:["$","span","p0-0-t0-m27",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$fc"}}] fd:T531,

\displaystyle - \frac{5}{4}

a0:["$","span","p0-0-t0-m29",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$fd"}}] fe:T531,

\displaystyle - \frac{7}{6}

a1:["$","span","p0-0-t0-m31",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$fe"}}] a2:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":[["$","img","p0-1-i2",{"src":"https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/110/image4-i1PXIOt4Lg5iHhQNdCoe3ZZctcdg6w.png","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"89cqw"}}]]}] a4:["$","span","p0-1-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

n

"}}] a5:["$","span","p0-1-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{12}

"}}] a6:["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["① ",["$","span","p0-2-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{6}

"}}],"\n② ",["$","span","p0-2-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{7}

"}}],"\n③ ",["$","span","p0-2-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{8}

"}}],"\n④ ",["$","span","p0-2-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{9}

"}}],"\n⑤ ",["$","span","p0-2-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{10}

"}}],""]}] ff:T1056,

\displaystyle \int _{0} ^{x} {} g \left( t \right) \left\{ \left| t \left( t - 1 \right) \right| + t \left( t - 1 \right) \right\} dt \geq 0

a8:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["(가) 함수 ",["$","span","p0-1-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

g ( x )

"}}],"는 실수 전체의 집합에서 증가하고 미분가능하다.\n(나) 모든 실수 ",["$","span","p0-1-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x

"}}],"에 대하여\n",["$","span","p0-1-t0-m5",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$ff"}}],"이고\n","$L100","이다."]}] 101:T7f4,

\displaystyle 4 - \sqrt{6}

a9:["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["",["$","span","p0-2-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

g ( k + 1 )

"}}],"의 최솟값은? [4점]\n① ",["$","span","p0-2-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$101"}}],"\n② ","$L102","\n③ ","$L103","\n④ ","$L104","\n⑤ ","$L105",""]}] ab:["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x

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

f ( 2 )

"}}] b0:["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a

"}}] b2:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{P}}

"}}] b3:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{P}}

"}}] b4:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{1}

"}}] b5:["$","span","p0-0-t0-m17",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

k

"}}] b7:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x = \\pi

"}}] b8:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

A

"}}] b9:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

y = 1

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

y = 3

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

B

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

C

"}}] 106:T612,

n ( A \cup B \cup C ) = 3

bd:["$","span","p0-0-t0-m23",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$106"}}] be:["$","span","p0-0-t0-m25",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a

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

b

"}}] c0:["$","span","p0-0-t0-m29",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

( a , b )

"}}] c1:["$","span","p0-0-t0-m31",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a + b

"}}] c2:["$","span","p0-0-t0-m33",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

M

"}}] c3:["$","span","p0-0-t0-m35",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

m

"}}] c4:["$","span","p0-0-t0-m37",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

M \\times m

"}}] c6:["$","span","p0-1-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

2

"}}] 107:T5e3,

\left\{ x \left| f \left( x \right) = k \right\} \right.

c7:["$","span","p0-1-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$107"}}] c8:["$","span","p0-1-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

3

"}}] c9:["$","span","p0-1-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

k

"}}] 108:T506,

\displaystyle \frac{8}{3}

ca:["$","span","p0-1-t0-m13",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$108"}}] 109:T557,

f' ( 1 ) = 0

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

f ( 0 ) = 0

"}}],", ",["$","span","p0-2-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$109"}}],"일 때, ",["$","span","p0-2-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

f ( 3 )

"}}],"의 값을 구하시오. [4점]"]}] ce:["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

n \\geq 2

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

n

"}}] 10a:T2fb8,

\displaystyle a _{n + 1} = {\begin{cases} a _{n} - \sqrt{n} \times a _{\sqrt{n}} & & \left( \sqrt{n} \text{이} \text{자연수이고} a _{n} > 0 \text{인} \text{경우} \right) \\ a _{n} + 1 & & \left( \text{그} \text{외의} \text{경우} \right) \end{cases}}

2024년-06월-고3-수학문제(공통)