f ( 2 ) + f ( 3 ) + f ( 4 ) = 3

28:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["자연수 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

n \\left( n \\geq 2 \\right)

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

m - 2 n

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

n

"}}],"제곱근 중에서 실수인 것의 개수를 ",["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

f ( n )

"}}],"이라 할 때, ",["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$96"}}],"을 만족시키는 모든 자연수 ","$L97","의 값의 합은? [4점]\n① ","$L98","\n② ","$L99","\n③ ","$L9a","\n④ ","$L9b","\n⑤ ","$L9c",""]}]]}] 9d:T4b4,

\left\{ a _{n} \right\}

9e:T410,

S _{n}

9f:T4b4,

\left\{ a _{n} \right\}

29:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["수열 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$9d"}}],"의 첫째항부터 제",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

n

"}}],"항까지의 합을 ",["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$9e"}}],"이라 할 때, 두 수열 ",["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$9f"}}],", ","$La0","과 상수 ","$La1","가 다음 조건을 만족시킨다."]}],"$La2","$La3"]}] a4:T40d,

0 < t < 3

a5:Td56,

\displaystyle y = \left| \frac{2}{x} - 3 \right|

2a:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$a4"}}],"인 실수 ",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

t

"}}],"에 대하여 함수 ",["$","span","p0-0-t0-m5",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$a5"}}],"의 그래프와 직선 ","$La6","가 만나는 두 점 사이의 거리를 ","$La7","라 할 때, ","$La8","의 값은? [4점]\n① ","$La9","\n② ","$Laa","\n③ ","$Lab","\n④ ","$Lac","\n⑤ ","$Lad",""]}],"$Lae"]}] af:Tdd0,

- 4 \log _{a} b = 54 \log _{b} c = \log _{c} a

2b:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{1}

"}}],"이 아닌 세 양수 ",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a

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

b

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

c

"}}],"가\n\t",["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$af"}}],"\n를 만족시킨다. ","$Lb0","의 값이 ","$Lb1"," 이하의 자연수가 되도록 하는 모든 자연수 ","$Lb2","의 값의 합은? [4점]\n① ","$Lb3","\n② ","$Lb4","\n③ ","$Lb5","\n④ ","$Lb6","\n⑤ ","$Lb7",""]}]]}] b8:T7da,

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

2c:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["그림과 같이 ",["$","span","p0-0-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$b8"}}],"인 삼각형 ",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{ABC}}

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

{\\mathrm{AB}}

"}}],"의 중점을 ","$Lb9",", 선분 ","$Lba","를 ","$Lbb","로 내분하는 점을 ","$Lbc","이라 하자. ","$Lbd","이고, 삼각형 ","$Lbe","의 외접원의 넓이가 ","$Lbf","일 때, 삼각형 ","$Lc0","의 넓이는? [4점]"]}],"$Lc1","$Lc2"]}] c3:Tbb4,

f \left( x \right) = x ^{3} - 6 x ^{2} + 9 x + k

2d:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["실수 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

k

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

f ( x )

"}}],"는 ",["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$c3"}}],"이다. 자연수 ","$Lc4","에 대하여 직선 ","$Lc5","과 함수 ","$Lc6","의 그래프가 만나는 점의 개수를 ","$Lc7","이라 하자. ","$Lc8","을 만족시키는 모든 ","$Lc9","의 값의 합은? [4점]\n① ","$Lca","\n② ","$Lcb","\n③ ","$Lcc","\n④ ","$Lcd","\n⑤ ","$Lce",""]}]]}] cf:T998,

f \left( x \right) = \left( x + 1 \right) \left( x - 6 \right) ^{2}

2e:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["함수 ",["$","span","p0-0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$cf"}}],"과 양의 실수 ",["$","span","p0-0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

t

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

g ( t )

"}}],"를 다음과 같이 정의한다."]}],"$Ld0","$Ld1","$Ld2","$Ld3"]}] d4:T4b4,

\left\{ a _{n} \right\}

2f:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["모든 항이 자연수이고 다음 조건을 만족시키는 모든 수열 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$d4"}}],"에 대하여 ",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a _{1}

"}}],"의 최댓값과 최솟값을 각각 ",["$","span","p0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

M

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

m

"}}],"이라 할 때, ","$Ld5","의 값은? [4점]"]}],"$Ld6","$Ld7"]}] d8:Tff3,

\displaystyle \lim\limits _{x \rightarrow 3} \frac{x - 3}{\sqrt{x + 1} - 2}

30:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["",["$","span","p0-0-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$d8"}}],"의 값을 구하시오. [3점]"]}]]}] d9:T55b,

\displaystyle \frac{4}{5} \pi

31:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["중심각의 크기가 ",["$","span","p0-0-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$d9"}}],"이고 호의 길이가 ",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

12 \\pi

"}}],"인 부채꼴의 반지름의 길이를 구하시오. [3점]"]}]]}] da:Ta1d,

f \left( x \right) = x ^{3} + 2 x ^{2} + 2

db:T120f,

\displaystyle \lim\limits _{x \rightarrow 1} {} \frac{1}{x - 1} \int _{1} ^{x} {} f' \left( t \right) dt

32:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["함수 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$da"}}],"에 대하여 ",["$","span","p0-0-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$db"}}],"의 값을 구하시오. [3점]"]}]]}] dc:T9c4,

\log _{2} x - 3 = \log _{x} 16

33:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["방정식\n\t",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$dc"}}],"\n을 만족시키는 모든 실수 ",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x

"}}],"의 값의 곱을 구하시오. [3점]"]}]]}] dd:Tc77,

x _{1} \left( t \right) = t ^{3} - 3 t ^{2} - 24 t

34:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["수직선 위를 움직이는 두 점 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{P}}

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

{\\mathrm{Q}}

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

t \\left( t > 0 \\right)

"}}],"에서의 위치가 각각\n\t",["$","span","p0-0-t0-m7",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$dd"}}],", ","$Lde","\n이다. 두 점 ","$Ldf",", ","$Le0","의 운동 방향이 시각 ","$Le1","에서 동시에 바뀔 때, ","$Le2","의 값을 구하시오. (단, ","$Le3","와 ","$Le4","는 상수이다.) [4점]"]}]]}] e5:T4b4,

\left\{ a _{n} \right\}

e6:T8a4,

a _{8} = 2 a _{5} + 10

2023년-12월-고2-수학영역