\displaystyle y = \sqrt{x}

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":["자연수 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

n

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

x = n

"}}],"이 두 곡선 ",["$","span","p0-0-t0-m5",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$a4"}}],",\n","$La5","과 만나는 점을 각각 ","$La6",", ","$La7","이라 하자. 삼각형 ","$La8","의 넓이를 ","$La9","이라 할 때, ","$Laa","의 값은? (단, ","$Lab","는 원점이다.) [4점]"]}],"$Lac","$Lad"]}] ae:T89b,

\displaystyle 2 ^{\frac{4}{a}} = 100

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":["두 실수 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a

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

b

"}}],"에 대하여\n\t\t",["$","span","p0-0-t0-m5",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$ae"}}],", ","$Laf","\n이 성립할 때, ","$Lb0","의 값은? [4점]\n① ","$Lb1","\n② ","$Lb2","\n③ ","$Lb3","\n④ ","$Lb4","\n⑤ ","$Lb5",""]}]]}] b6:T10b6,

1 \cdot 2 n + 3 \cdot \left( 2 n - 2 \right) + 5 \cdot \left( 2 n - 4 \right) + \cdots + ( 2 n - 1 ) \cdot 2

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":["다음은 모든 자연수 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

n

"}}],"에 대하여\n ",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$b6"}}],"","$Lb7","\n이 성립함을 보이는 과정이다.\n","$Lb8","\n","$Lb9","\n","$Lba","\n","$Lbb","\n","$Lbc","","$Lbd","\n","$Lbe","\n","$Lbf","\n이다."]}],"$Lc0"]}] c1:T980,

\displaystyle f \left( x \right) = \frac{1}{2} x ^{2}

2d:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["함수 ",["$","span","p0-0-0-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$c1"}}],"에 대하여 실수 전체의 집합에서 정의된 함수 ",["$","span","p0-0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

g \\left( x \\right)

"}}],"를"]}],"$Lc2","$Lc3","$Lc4"]}] c5:T54b,

\displaystyle {\overline{\mathrm{AB}}} = 1

c6:T54b,

\displaystyle {\overline{\mathrm{BC}}} = 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":["그림과 같이 ",["$","span","p0-0-0-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$c5"}}],", ",["$","span","p0-0-0-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$c6"}}],"인 직사각형 ",["$","span","p0-0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{ABCD}

"}}],"에서 선분 ","$Lc7","의 중점을 ","$Lc8","이라 하자. 중심이 ","$Lc9",", 반지름의 길이가 ","$Lca","이고 중심각의 크기가 ","$Lcb","인 부채꼴 ","$Lcc","를 그리고, 중심이 ","$Lcd",", 반지름의 길이가 ","$Lce","이고 중심각의 크기가 ","$Lcf","인 부채꼴 ","$Ld0","을 그린다. 두 부채꼴의 호 ","$Ld1",", 호 ","$Ld2","과 선분 ","$Ld3","에 모두 접하는 원의 내부에 색칠하여 얻은 그림을 ","$Ld4","이라 하자. 그림 ","$Ld5","에서 새로 그려진 각 부채꼴의 내부에 두 변의 길이의 비가 ","$Ld6","인 직사각형을 긴 변이 선분 ","$Ld7","위에 놓이면서 각 부채꼴에 내접하도록 각각 그리고, 각 직사각형에 그림 ","$Ld8","을 얻은 것과 같은 방법으로 만들어지는 원의 내부에 색칠하여 얻은 그림을 ","$Ld9","라 하자. 이와 같은 과정을 계속하여 ","$Lda","번째 얻은 그림을 ","$Ldb","이라 할 때, 그림 ","$Ldc","에 색칠되어 있는 부분의 넓이를 ","$Ldd","이라 하자. 이때, ","$Lde","의 값은? [4점]"]}],"$Ldf","$Le0"]}] e1:T4b4,

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

e2:T2519,

\displaystyle \frac{a _{1} + a _{2} + a _{3} + \cdots + a _{2 n - 1} + a _{2 n}}{a _{1} + a _{2} + a _{3} + \cdots + a _{n - 1} + a _{n}}

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":["공차가 양수인 등차수열 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$e1"}}],"이 다음 조건을 만족시킨다.\n(가) 모든 자연수 ",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

n

"}}],"에 대하여\n",["$","span","p0-0-t0-m5",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$e2"}}],"은 일정한 값을 가진다.\n(나) ","$Le3",""]}],"$Le4"]}] e5:Te4b,

\displaystyle \lim\limits _{n \rightarrow \infty} {\frac{10 n ^{2} - 3 n}{2 n ^{2} + 1}}

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":["",["$","span","p0-0-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$e5"}}],"의 값을 구하시오. [3점]"]}]]}] e6:T49e,

A = \left\{ x \left| x \right. \right.

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":["집합 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$e6"}}],"는 ",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

6

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

\\left. \\right\\}

"}}],"의 모든 부분집합의 개수를 구하시오. [3점]"]}]]}] e7:T58f,

f \left( x \right) = 3 x - 7

e8:T4e5,

f ^{- 1} \left( 5 \right)

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":"$e7"}}],"에 대하여 ",["$","span","p0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$e8"}}],"의 값을 구하시오. [3점]"]}]]}] e9:T4b4,

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

ea:T882,

\displaystyle a _{1} = \frac{1}{2}

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":["공비가 양수인 등비수열 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$e9"}}],"이\n\t\t",["$","span","p0-0-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$ea"}}],", ","$Leb","\n를 만족시킬 때, ","$Lec","의 값을 구하시오. [3점]"]}]]}] ed:Tc9c,

\displaystyle \lim\limits _{x \rightarrow 1} {\frac{f \left( x \right) - 2}{x - 1} = 12}

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":["다항함수 ",["$","span","p0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

f \\left( x \\right)

"}}],"가\n\t\t",["$","span","p0-0-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$ed"}}],"\n를 만족시킨다. ","$Lee","라 할 때, ","$Lef","의 값을 구하시오. [4점]"]}]]}] f0:T1004,

\displaystyle \left( \sqrt{2 \sqrt[3]{4}} \right) ^{n}

35:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["",["$","span","p0-0-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$f0"}}],"이 네 자리 자연수가 되도록 하는 자연수 ","$Lf1","의 값을 구하시오. [4점]"]}]]}] f2:T4b4,

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

f3:T501,

a _{1} = 88

36:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["수열 ",["$","span","p0-0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$f2"}}],"이 ",["$","span","p0-0-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$f3"}}],"이고, 모든 자연수 ",["$","span","p0-0-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

n

"}}],"에 대하여"]}],"$Lf4","$Lf5"]}] f6:T84b,

\displaystyle y = \sqrt{2} x

f7:T942,

\displaystyle \mathrm{A} \left( \mathit{t} , \sqrt{2} t \right)

37:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["직선 ",["$","span","p0-0-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$f6"}}]," 위의 점 ",["$","span","p0-0-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$f7"}}],"","$Lf8","과 ","$Lf9","축 위의 점 ","$Lfa","이 있다. 선분 ","$Lfb","의 중점을 ","$Lfc","라 하고, 점 ","$Lfd","를 지나고 선분 ","$Lfe","에 수직인 직선이 직선 ","$Lff","와 만나는 점을 ","$L100","라 하자. 선분 ","$L101","의 길이를 ","$L102","라 할 때, ","$L103","이다. ","$L104","의 값을 구하시오. [4점]"]}],"$L105"]}] 38:["$","div",null,{"className":"math-text text-[15px] leading-[1.9]","children":[["$","p","p0-0-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["양수 ",["$","span","p0-0-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a

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

b

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

f \\left( x \\right)

"}}],"는"]}],["$","div","t0-1",{"className":"mb-[1.2em] overflow-x-auto","children":["$","table",null,{"className":"w-auto border-collapse text-[15px]","children":["$","tbody",null,{"children":[["$","tr","t0-1-r0",{"children":[["$","td","t0-1-r0c0",{"rowSpan":2,"colSpan":"$undefined","className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"none","borderRight":"none","borderTop":"none","borderBottom":"none","backgroundColor":"$undefined"},"children":["",["$","span","t0-1-r0c0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

f \\left( x \\right) =

"}}],""]}],["$","td","t0-1-r0c1",{"rowSpan":2,"colSpan":"$undefined","className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"none","borderRight":"none","borderTop":"none","borderBottom":"none","backgroundColor":"$undefined"},"children":["","$L106",""]}],"$L107","$L108"]}],"$L109"]}]}]}],"$L10a","$L10b"]}]

2018년-09월-고2-수학(나형)