:HL["https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/283/image15-No3vPervhldwq7jtCsDUILwHJ5smWp.png","image"] :HL["https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/283/image16-BOqRoJxlXuS2WW5yggEdblZxjEuWJA.png","image"] :HL["https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/283/image17-VOt4GHYFToWJWpGpxbYBEutwxPWRFD.png","image"] :HL["https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/283/image19-8zro2wxkLu0HvhK8FAYcc9hdTJnUfl.png","image"] 2c:["$","td","t0-1-r0c4",{"rowSpan":"$undefined","colSpan":"$undefined","className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"1px solid #333","borderRight":"1px solid #333","borderTop":"1px solid #333","borderBottom":"1px solid #333","backgroundColor":"$undefined"},"children":["합계"]}] 2d:["$","tr","t0-1-r1",{"children":[["$","td","t0-1-r1c0",{"rowSpan":"$undefined","colSpan":"$undefined","className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"1px solid #333","borderRight":"1px solid #333","borderTop":"1px solid #333","borderBottom":"1px solid #333","backgroundColor":"$undefined"},"children":["",["$","span","t0-1-r1c0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

{\\mathrm{P}} \\mathit{(} X = x )

"}}],""]}],["$","td","t0-1-r1c1",{"rowSpan":"$undefined","colSpan":"$undefined","className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"1px solid #333","borderRight":"1px solid #333","borderTop":"1px solid #333","borderBottom":"1px solid #333","backgroundColor":"$undefined"},"children":["",["$","span","t0-1-r1c1-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a

"}}],""]}],["$","td","t0-1-r1c2",{"rowSpan":"$undefined","colSpan":"$undefined","className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"1px solid #333","borderRight":"1px solid #333","borderTop":"1px solid #333","borderBottom":"1px solid #333","backgroundColor":"$undefined"},"children":["",["$","span","t0-1-r1c2-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a + b

"}}],""]}],["$","td","t0-1-r1c3",{"rowSpan":"$undefined","colSpan":"$undefined","className":"px-3 py-1.5 align-middle text-center","style":{"borderLeft":"1px solid #333","borderRight":"1px solid #333","borderTop":"1px solid #333","borderBottom":"1px solid #333","backgroundColor":"$undefined"},"children":["",["$","span","t0-1-r1c3-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

b

"}}],""]}],"$L54"]}] 55:T794,

{\mathrm{E}} \mathit{\left( X ^{2} \right)} = a + 5

2e:["$","p","p2-0",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["",["$","span","p2-0-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$55"}}],"일 때, ",["$","span","p2-0-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

b - a

"}}],"의 값은? (단, ",["$","span","p2-0-t0-m5",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

a

"}}],", ","$L56","는 상수이다.) [3점]\n① ","$L57","\n② ","$L58","\n③ ","$L59","\n④ ","$L5a","\n⑤ ","$L5b",""]}] 2f:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{1}

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

{\\mathrm{B}}

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

{\\mathrm{B}}

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

\\mathrm{3}

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

{\\mathrm{B}}

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

\\mathrm{3}

"}}] 35:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":[["$","img","p0-1-i2",{"src":"https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/283/image15-No3vPervhldwq7jtCsDUILwHJ5smWp.png","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"34cqw"}}]]}] 5c:T506,

\displaystyle \frac{6}{7}

5d:T50f,

\displaystyle \frac{92}{105}

5e:T50f,

\displaystyle \frac{94}{105}

36:["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["① ",["$","span","p0-2-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$5c"}}],"\n② ",["$","span","p0-2-t0-m3",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$5d"}}],"\n③ ",["$","span","p0-2-t0-m5",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$5e"}}],"\n④ ","$L5f","\n⑤ ","$L60",""]}] 37:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{7}

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

\\mathrm{7}

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

\\mathrm{1}

"}}] 3a:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":[["$","img","p0-1-i2",{"src":"https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/283/image16-BOqRoJxlXuS2WW5yggEdblZxjEuWJA.png","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"28cqw"}}]]}] 3b:["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["① ",["$","span","p0-2-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{14}

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

\\mathrm{15}

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

\\mathrm{16}

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

\\mathrm{17}

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

\\mathrm{18}

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

a _{n}

"}}] 61:T558,

a _{k} \leq k

3e:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$61"}}] 62:T4b9,

k \left( 1 \leq k \leq 5 \right)

3f:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$62"}}] 40:["$","span","p0-0-t0-m17",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

\\mathrm{3}

"}}] 63:Te54,

a _{1} + a _{2} = a _{4} + a _{5}

41:["$","span","p0-0-t0-m19",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$63"}}] 64:T509,

\displaystyle \frac{4}{19}

42:["$","span","p0-0-t0-m21",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$64"}}] 65:T509,

\displaystyle \frac{5}{19}

43:["$","span","p0-0-t0-m23",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$65"}}] 66:T509,

\displaystyle \frac{6}{19}

44:["$","span","p0-0-t0-m25",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$66"}}] 67:T509,

\displaystyle \frac{7}{19}

45:["$","span","p0-0-t0-m27",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$67"}}] 68:T509,

\displaystyle \frac{8}{19}

46:["$","span","p0-0-t0-m29",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$68"}}] 47:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":[["$","img","p0-1-i2",{"src":"https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/283/image17-VOt4GHYFToWJWpGpxbYBEutwxPWRFD.png","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"17cqw"}}]]}] 4a:["$","span","p0-0-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

X

"}}] 4b:["$","span","p0-0-t0-m11",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

Y

"}}] 4c:["$","span","p0-0-t0-m13",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

f ( x )

"}}] 4d:["$","span","p0-0-t0-m15",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

g ( x )

"}}] 4e:["$","span","p0-0-t0-m17",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

X

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

f ( x )

"}}] 50:["$","p","p0-1",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":[["$","img","p0-1-i2",{"src":"https://2vcomivapkynmsnb.public.blob.vercel-storage.com/problems/283/image19-8zro2wxkLu0HvhK8FAYcc9hdTJnUfl.png","alt":"","className":"problem-img my-[1em] block","style":{"--img-w":"37cqw"}}]]}] 51:["$","p","p0-2",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["확률변수 ",["$","span","p0-2-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

Y

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

g ( x )

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

[ 0 , 4 ]

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

0 \\leq x \\leq 4

"}}],"인 모든 실수 ",["$","span","p0-2-t0-m9",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"

x

"}}],"에 대하여\n\t","$L69","는 상수","$L6a","\n를 만족시킨다. 두 확률변수 ","$L6b","와 ","$L6c","가 다음 조건을 만족시킨다."]}] 6d:T949,

\mathrm{P} \mathit{\left( 0 \leq Y \leq 1 \right)} < \mathrm{P} \mathit{\left( 0 \leq X \leq 1 \right)}

6e:T949,

\mathrm{P} \mathit{\left( 3 \leq Y \leq 4 \right)} < \mathrm{P} \mathit{\left( 3 \leq X \leq 4 \right)}

52:["$","p","p0-3",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["(가) ",["$","span","p0-3-t0-m1",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$6d"}}],"\n(나) ",["$","span","p0-3-t0-m3",{"className":"$undefined","dangerouslySetInnerHTML":{"__html":"$6e"}}],""]}] 6f:Tccd,

\displaystyle \mathrm{P} \mathit{\left( 0 \leq Y \leq 5 a \right)} = p - q \sqrt{2}

53:["$","p","p0-4",{"className":"mt-0 mb-[1.2em] [tab-size:3] whitespace-pre-wrap","children":["",["$","span","p0-4-t0-m1",{"className":"my-[3px] inline-block align-middle leading-none","dangerouslySetInnerHTML":{"__html":"$6f"}}],"일 때, ","$L70","의 값을 구하시오.\n(단, ","$L71",", ","$L72","는 자연수이다.) [4점]"]}]

2023년-07월-고3-수학문제(확통)